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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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<li class="navelem"><a class="el" href="namespace_quant_lib.html">QuantLib</a></li><li class="navelem"><a class="el" href="class_quant_lib_1_1_default_latent_model.html">DefaultLatentModel</a></li>  </ul>
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<a href="#pub-methods">Public Member Functions</a> &#124;
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<p>Default event Latent Model.  
 <a href="class_quant_lib_1_1_default_latent_model.html#details">More...</a></p>

<p><code>#include &lt;ql/experimental/credit/defaultprobabilitylatentmodel.hpp&gt;</code></p>
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<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:a019be29faf648e301108d06cc4ddfac9"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_default_latent_model.html#a019be29faf648e301108d06cc4ddfac9">DefaultLatentModel</a> (const std::vector&lt; std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &gt; &amp;<a class="el" href="class_quant_lib_1_1_latent_model.html#a4b308a15a8f13a308117e55209d99fcd">factorWeights</a>, LatentModelIntegrationType::LatentModelIntegrationType integralType, const initTraits &amp;ini=initTraits())</td></tr>
<tr class="separator:a019be29faf648e301108d06cc4ddfac9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a635bfeb56a6c5defe63fddb904cb7f49"><td class="memItemLeft" align="right" valign="top"><a id="a635bfeb56a6c5defe63fddb904cb7f49"></a>
&#160;</td><td class="memItemRight" valign="bottom"><b>DefaultLatentModel</b> (const <a class="el" href="class_quant_lib_1_1_handle.html">Handle</a>&lt; <a class="el" href="class_quant_lib_1_1_quote.html">Quote</a> &gt; &amp;mktCorrel, <a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a> nVariables, LatentModelIntegrationType::LatentModelIntegrationType integralType, const initTraits &amp;ini=initTraits())</td></tr>
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<tr class="memitem:a74b99e4832df2085d0d5ba3d82af2456"><td class="memItemLeft" align="right" valign="top"><a id="a74b99e4832df2085d0d5ba3d82af2456"></a>
void&#160;</td><td class="memItemRight" valign="bottom"><b>resetBasket</b> (const ext::shared_ptr&lt; <a class="el" href="class_quant_lib_1_1_basket.html">Basket</a> &gt; &amp;basket) const</td></tr>
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<tr class="memitem:a5ecfe2190404d92a4641d3478d82c067"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__types.html#gad9817a6a21dfcb91429f0152c99d6313">Probability</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_default_latent_model.html#a5ecfe2190404d92a4641d3478d82c067">conditionalDefaultProbability</a> (<a class="el" href="group__types.html#gad9817a6a21dfcb91429f0152c99d6313">Probability</a> prob, <a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a> iName, const std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &amp;mktFactors) const</td></tr>
<tr class="separator:a5ecfe2190404d92a4641d3478d82c067"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aeb0d6e75705e728822e13e88c5b77921"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__types.html#gad9817a6a21dfcb91429f0152c99d6313">Probability</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_default_latent_model.html#aeb0d6e75705e728822e13e88c5b77921">conditionalDefaultProbabilityInvP</a> (<a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> invCumYProb, <a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a> iName, const std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &amp;m) const</td></tr>
<tr class="separator:aeb0d6e75705e728822e13e88c5b77921"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab7f95052edaf9cea322b6e931ad72f0a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__types.html#gad9817a6a21dfcb91429f0152c99d6313">Probability</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_default_latent_model.html#ab7f95052edaf9cea322b6e931ad72f0a">probOfDefault</a> (<a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a> iName, const <a class="el" href="class_quant_lib_1_1_date.html">Date</a> &amp;d) const</td></tr>
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<tr class="memitem:aea4623559adf69f35c874f9f6ae3e7d6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__types.html#gad9817a6a21dfcb91429f0152c99d6313">Probability</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_default_latent_model.html#aea4623559adf69f35c874f9f6ae3e7d6">probAtLeastNEvents</a> (<a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a> n, const <a class="el" href="class_quant_lib_1_1_date.html">Date</a> &amp;date) const</td></tr>
<tr class="separator:aea4623559adf69f35c874f9f6ae3e7d6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="inherit_header pub_methods_class_quant_lib_1_1_latent_model"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_class_quant_lib_1_1_latent_model')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="class_quant_lib_1_1_latent_model.html">LatentModel&lt; copulaPolicy &gt;</a></td></tr>
<tr class="memitem:ac5c54df7ed3b930268c8d7752c101725 inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><b>update</b> ()</td></tr>
<tr class="separator:ac5c54df7ed3b930268c8d7752c101725 inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acce0ab2cacc475b2434f24c65c91685a inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a id="acce0ab2cacc475b2434f24c65c91685a"></a>
<a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a>&#160;</td><td class="memItemRight" valign="bottom"><b>size</b> () const</td></tr>
<tr class="separator:acce0ab2cacc475b2434f24c65c91685a inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a56abc887c13cbde93385f6875e849541 inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a id="a56abc887c13cbde93385f6875e849541"></a>
<a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_latent_model.html#a56abc887c13cbde93385f6875e849541">numFactors</a> () const</td></tr>
<tr class="memdesc:a56abc887c13cbde93385f6875e849541 inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="mdescLeft">&#160;</td><td class="mdescRight">Number of systemic factors. <br /></td></tr>
<tr class="separator:a56abc887c13cbde93385f6875e849541 inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac9c9998bd5485693575f044342216cdc inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a id="ac9c9998bd5485693575f044342216cdc"></a>
<a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_latent_model.html#ac9c9998bd5485693575f044342216cdc">numTotalFactors</a> () const</td></tr>
<tr class="memdesc:ac9c9998bd5485693575f044342216cdc inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="mdescLeft">&#160;</td><td class="mdescRight">Number of total free random factors; systemic and idiosyncratic. <br /></td></tr>
<tr class="separator:ac9c9998bd5485693575f044342216cdc inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae4ed5d88e196cc3c54f7793f8196fbb4 inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_latent_model.html#ae4ed5d88e196cc3c54f7793f8196fbb4">LatentModel</a> (const std::vector&lt; std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &gt; &amp;factorsWeights, const typename copulaType::initTraits &amp;ini=copulaType::initTraits())</td></tr>
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<tr class="memitem:abe3447b3892833206298d351755afc1e inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_latent_model.html#abe3447b3892833206298d351755afc1e">LatentModel</a> (const std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &amp;factorsWeight, const typename copulaType::initTraits &amp;ini=copulaType::initTraits())</td></tr>
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<tr class="memitem:a4b308a15a8f13a308117e55209d99fcd inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a id="a4b308a15a8f13a308117e55209d99fcd"></a>
const std::vector&lt; std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_latent_model.html#a4b308a15a8f13a308117e55209d99fcd">factorWeights</a> () const</td></tr>
<tr class="memdesc:a4b308a15a8f13a308117e55209d99fcd inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provides values of the factors \( a_{i,k} \). <br /></td></tr>
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<tr class="memitem:a2196b7464ec3bb07339e71d9d7caf99d inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a id="a2196b7464ec3bb07339e71d9d7caf99d"></a>
const std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_latent_model.html#a2196b7464ec3bb07339e71d9d7caf99d">idiosyncFctrs</a> () const</td></tr>
<tr class="memdesc:a2196b7464ec3bb07339e71d9d7caf99d inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provides values of the normalized idiosyncratic factors \( Z_i \). <br /></td></tr>
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<tr class="memitem:a31dc4b961ba8016810704c496e14079c inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a id="a31dc4b961ba8016810704c496e14079c"></a>
<a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_latent_model.html#a31dc4b961ba8016810704c496e14079c">latentVariableCorrel</a> (<a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a> iVar1, <a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a> iVar2) const</td></tr>
<tr class="memdesc:a31dc4b961ba8016810704c496e14079c inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="mdescLeft">&#160;</td><td class="mdescRight">Latent variable correlations: <br /></td></tr>
<tr class="separator:a31dc4b961ba8016810704c496e14079c inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9d2172a86cee3a6b5e87ef6804283d9a inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__types.html#gad9817a6a21dfcb91429f0152c99d6313">Probability</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_latent_model.html#a9d2172a86cee3a6b5e87ef6804283d9a">cumulativeY</a> (<a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> val, <a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a> iVariable) const</td></tr>
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<tr class="memitem:ac42e8a3a9fe28bd7cbb0144e1fde4e98 inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a id="ac42e8a3a9fe28bd7cbb0144e1fde4e98"></a>
<a class="el" href="group__types.html#gad9817a6a21dfcb91429f0152c99d6313">Probability</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_latent_model.html#ac42e8a3a9fe28bd7cbb0144e1fde4e98">cumulativeZ</a> (<a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> z) const</td></tr>
<tr class="memdesc:ac42e8a3a9fe28bd7cbb0144e1fde4e98 inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="mdescLeft">&#160;</td><td class="mdescRight">Cumulative distribution of Z, the idiosyncratic/error factors. <br /></td></tr>
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<a class="el" href="group__types.html#gad9817a6a21dfcb91429f0152c99d6313">Probability</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_latent_model.html#a7a6a9e92d606e0b463736794cc2415b8">density</a> (const std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &amp;m) const</td></tr>
<tr class="memdesc:a7a6a9e92d606e0b463736794cc2415b8 inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="mdescLeft">&#160;</td><td class="mdescRight">Density function of M, the market/systemic factors. <br /></td></tr>
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<tr class="memitem:a54052fb0c8917e0d63d6d52230e3b59a inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a id="a54052fb0c8917e0d63d6d52230e3b59a"></a>
<a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_latent_model.html#a54052fb0c8917e0d63d6d52230e3b59a">inverseCumulativeDensity</a> (<a class="el" href="group__types.html#gad9817a6a21dfcb91429f0152c99d6313">Probability</a> p, <a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a> iFactor) const</td></tr>
<tr class="memdesc:a54052fb0c8917e0d63d6d52230e3b59a inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inverse cumulative distribution of the systemic factor iFactor. <br /></td></tr>
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<tr class="memitem:a36e205d1cabb02b58e65e4f1ee08658f inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_latent_model.html#a36e205d1cabb02b58e65e4f1ee08658f">inverseCumulativeY</a> (<a class="el" href="group__types.html#gad9817a6a21dfcb91429f0152c99d6313">Probability</a> p, <a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a> iVariable) const</td></tr>
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<tr class="memitem:acd5b1879390c62bbddd5f61deb20b49e inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_latent_model.html#acd5b1879390c62bbddd5f61deb20b49e">inverseCumulativeZ</a> (<a class="el" href="group__types.html#gad9817a6a21dfcb91429f0152c99d6313">Probability</a> p) const</td></tr>
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<tr class="memitem:a2b0482da26b94fcd714869c802efd590 inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_quant_lib_1_1_disposable.html">Disposable</a>&lt; std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_latent_model.html#a2b0482da26b94fcd714869c802efd590">allFactorCumulInverter</a> (const std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &amp;probs) const</td></tr>
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<tr class="memitem:a0dd0aa599a5b42688ff1ca2bd4cf9d3f inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_latent_model.html#a0dd0aa599a5b42688ff1ca2bd4cf9d3f">latentVarValue</a> (const std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &amp;allFactors, <a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a> iVar) const</td></tr>
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const copulaType &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>copula</b> () const</td></tr>
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<tr class="memitem:ada44c6f03858c0d5f260c1815cc22246 inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_latent_model.html#ada44c6f03858c0d5f260c1815cc22246">integratedExpectedValue</a> (const ext::function&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>(const std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &amp;v1)&gt; &amp;f) const</td></tr>
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<tr class="memitem:ac5a4f1b3cf4b5973b5362998c89a82a3 inherit pub_methods_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_quant_lib_1_1_disposable.html">Disposable</a>&lt; std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_latent_model.html#ac5a4f1b3cf4b5973b5362998c89a82a3">integratedExpectedValue</a> (const ext::function&lt; <a class="el" href="class_quant_lib_1_1_disposable.html">Disposable</a>&lt; std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &gt;(const std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &amp;v1)&gt; &amp;f) const</td></tr>
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<tr class="inherit_header pub_methods_class_quant_lib_1_1_observer"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_class_quant_lib_1_1_observer')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="class_quant_lib_1_1_observer.html">Observer</a></td></tr>
<tr class="memitem:af6a9d3ca0b7f388f3b7ccb1eccf11f63 inherit pub_methods_class_quant_lib_1_1_observer"><td class="memItemLeft" align="right" valign="top"><a id="af6a9d3ca0b7f388f3b7ccb1eccf11f63"></a>
&#160;</td><td class="memItemRight" valign="bottom"><b>Observer</b> (const <a class="el" href="class_quant_lib_1_1_observer.html">Observer</a> &amp;)</td></tr>
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<a class="el" href="class_quant_lib_1_1_observer.html">Observer</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>operator=</b> (const <a class="el" href="class_quant_lib_1_1_observer.html">Observer</a> &amp;)</td></tr>
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std::pair&lt; iterator, bool &gt;&#160;</td><td class="memItemRight" valign="bottom"><b>registerWith</b> (const ext::shared_ptr&lt; <a class="el" href="class_quant_lib_1_1_observable.html">Observable</a> &gt; &amp;)</td></tr>
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<tr class="memitem:a51d57eb97a3a57312a47bda29235f182 inherit pub_methods_class_quant_lib_1_1_observer"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_observer.html#a51d57eb97a3a57312a47bda29235f182">registerWithObservables</a> (const ext::shared_ptr&lt; <a class="el" href="class_quant_lib_1_1_observer.html">Observer</a> &gt; &amp;)</td></tr>
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<a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a>&#160;</td><td class="memItemRight" valign="bottom"><b>unregisterWith</b> (const ext::shared_ptr&lt; <a class="el" href="class_quant_lib_1_1_observable.html">Observable</a> &gt; &amp;)</td></tr>
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void&#160;</td><td class="memItemRight" valign="bottom"><b>unregisterWithAll</b> ()</td></tr>
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<tr class="memitem:a3d53f9669c128dadc74a5d044a7c8e68 inherit pub_methods_class_quant_lib_1_1_observer"><td class="memItemLeft" align="right" valign="top">virtual void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_observer.html#a3d53f9669c128dadc74a5d044a7c8e68">deepUpdate</a> ()</td></tr>
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<tr class="inherit_header pub_methods_class_quant_lib_1_1_observable"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_class_quant_lib_1_1_observable')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="class_quant_lib_1_1_observable.html">Observable</a></td></tr>
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&#160;</td><td class="memItemRight" valign="bottom"><b>Observable</b> (const <a class="el" href="class_quant_lib_1_1_observable.html">Observable</a> &amp;)</td></tr>
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<tr class="memitem:a522aacdd0f2408fe5e46527a6db999b4 inherit pub_methods_class_quant_lib_1_1_observable"><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_quant_lib_1_1_observable.html">Observable</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_observable.html#a522aacdd0f2408fe5e46527a6db999b4">operator=</a> (const <a class="el" href="class_quant_lib_1_1_observable.html">Observable</a> &amp;)</td></tr>
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<tr class="memitem:a397546715bfc5aedd1d16dd202a19d4c inherit pub_methods_class_quant_lib_1_1_observable"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_observable.html#a397546715bfc5aedd1d16dd202a19d4c">notifyObservers</a> ()</td></tr>
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Protected Member Functions</h2></td></tr>
<tr class="memitem:ac5c54df7ed3b930268c8d7752c101725"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_default_latent_model.html#ac5c54df7ed3b930268c8d7752c101725">update</a> ()</td></tr>
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<tr class="memitem:a5034d127b501f9abe630adc9cbe89b8a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__types.html#gad9817a6a21dfcb91429f0152c99d6313">Probability</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_default_latent_model.html#a5034d127b501f9abe630adc9cbe89b8a">conditionalDefaultProbability</a> (const <a class="el" href="class_quant_lib_1_1_date.html">Date</a> &amp;date, <a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a> iName, const std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &amp;mktFactors) const</td></tr>
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<tr class="memitem:a1b5c6708a14f029c027a2ce8586ce9d7"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__types.html#gad9817a6a21dfcb91429f0152c99d6313">Probability</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_default_latent_model.html#a1b5c6708a14f029c027a2ce8586ce9d7">condProbProduct</a> (<a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> invCumYProb1, <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> invCumYProb2, <a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a> iName1, <a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a> iName2, const std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &amp;mktFactors) const</td></tr>
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<a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_default_latent_model.html#a8f97bf936a88d090a2bca06a71259f62">conditionalProbAtLeastNEvents</a> (<a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a> n, const <a class="el" href="class_quant_lib_1_1_date.html">Date</a> &amp;date, const std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &amp;mktFactors) const</td></tr>
<tr class="memdesc:a8f97bf936a88d090a2bca06a71259f62"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional probability of n default events or more. <br /></td></tr>
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const ext::shared_ptr&lt; LMIntegration &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_default_latent_model.html#acef84214a1fd603328f8f57dc36653d2">integration</a> () const</td></tr>
<tr class="memdesc:acef84214a1fd603328f8f57dc36653d2"><td class="mdescLeft">&#160;</td><td class="mdescRight">access to integration: <br /></td></tr>
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<tr class="inherit_header pro_methods_class_quant_lib_1_1_latent_model"><td colspan="2" onclick="javascript:toggleInherit('pro_methods_class_quant_lib_1_1_latent_model')"><img src="closed.png" alt="-"/>&#160;Protected Member Functions inherited from <a class="el" href="class_quant_lib_1_1_latent_model.html">LatentModel&lt; copulaPolicy &gt;</a></td></tr>
<tr class="memitem:a50a342d7329355d3155218ce93059fc6 inherit pro_methods_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a id="a50a342d7329355d3155218ce93059fc6"></a>
virtual const ext::shared_ptr&lt; LMIntegration &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>integration</b> () const</td></tr>
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Protected Attributes</h2></td></tr>
<tr class="memitem:a205c36e3418f0ce000baa668c9094e60"><td class="memItemLeft" align="right" valign="top"><a id="a205c36e3418f0ce000baa668c9094e60"></a>
ext::shared_ptr&lt; <a class="el" href="class_quant_lib_1_1_basket.html">Basket</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><b>basket_</b></td></tr>
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<tr class="memitem:aac0019e98005cfc9ad0a8247ab204b9d"><td class="memItemLeft" align="right" valign="top"><a id="aac0019e98005cfc9ad0a8247ab204b9d"></a>
ext::shared_ptr&lt; LMIntegration &gt;&#160;</td><td class="memItemRight" valign="bottom"><b>integration_</b></td></tr>
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<tr class="inherit_header pro_attribs_class_quant_lib_1_1_latent_model"><td colspan="2" onclick="javascript:toggleInherit('pro_attribs_class_quant_lib_1_1_latent_model')"><img src="closed.png" alt="-"/>&#160;Protected Attributes inherited from <a class="el" href="class_quant_lib_1_1_latent_model.html">LatentModel&lt; copulaPolicy &gt;</a></td></tr>
<tr class="memitem:a3769373e685b70bb91c38bd895b886fd inherit pro_attribs_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a id="a3769373e685b70bb91c38bd895b886fd"></a>
std::vector&lt; std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &gt;&#160;</td><td class="memItemRight" valign="bottom"><b>factorWeights_</b></td></tr>
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<a class="el" href="class_quant_lib_1_1_handle.html">Handle</a>&lt; <a class="el" href="class_quant_lib_1_1_quote.html">Quote</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><b>cachedMktFactor_</b></td></tr>
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<tr class="memitem:ab8c951ff85d3dfed2174ab47d1808351 inherit pro_attribs_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a id="ab8c951ff85d3dfed2174ab47d1808351"></a>
std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><b>idiosyncFctrs_</b></td></tr>
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<tr class="memitem:ad8639907820775808810c8a525d5bdd8 inherit pro_attribs_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a id="ad8639907820775808810c8a525d5bdd8"></a>
<a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_latent_model.html#ad8639907820775808810c8a525d5bdd8">nFactors_</a></td></tr>
<tr class="memdesc:ad8639907820775808810c8a525d5bdd8 inherit pro_attribs_class_quant_lib_1_1_latent_model"><td class="mdescLeft">&#160;</td><td class="mdescRight">Number of systemic factors. <br /></td></tr>
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<tr class="memitem:a44fb9cd28ad962ce4f8e1fa2d91e1147 inherit pro_attribs_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a id="a44fb9cd28ad962ce4f8e1fa2d91e1147"></a>
<a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quant_lib_1_1_latent_model.html#a44fb9cd28ad962ce4f8e1fa2d91e1147">nVariables_</a></td></tr>
<tr class="memdesc:a44fb9cd28ad962ce4f8e1fa2d91e1147 inherit pro_attribs_class_quant_lib_1_1_latent_model"><td class="mdescLeft">&#160;</td><td class="mdescRight">Number of latent model variables, idiosyncratic terms or model dim. <br /></td></tr>
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<tr class="memitem:af660dddb75bc7b39f47bf1e38b5916bd inherit pro_attribs_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a id="af660dddb75bc7b39f47bf1e38b5916bd"></a>
copulaType&#160;</td><td class="memItemRight" valign="bottom"><b>copula_</b></td></tr>
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</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="inherited"></a>
Additional Inherited Members</h2></td></tr>
<tr class="inherit_header pub_types_class_quant_lib_1_1_latent_model"><td colspan="2" onclick="javascript:toggleInherit('pub_types_class_quant_lib_1_1_latent_model')"><img src="closed.png" alt="-"/>&#160;Public Types inherited from <a class="el" href="class_quant_lib_1_1_latent_model.html">LatentModel&lt; copulaPolicy &gt;</a></td></tr>
<tr class="memitem:ac175647caaabf0dae2f44633ce56cdcf inherit pub_types_class_quant_lib_1_1_latent_model"><td class="memItemLeft" align="right" valign="top"><a id="ac175647caaabf0dae2f44633ce56cdcf"></a>
typedef copulaPolicy&#160;</td><td class="memItemRight" valign="bottom"><b>copulaType</b></td></tr>
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<tr class="memitem:a78de5f2b6bce96d718e3c18b9f52d67c inherit pub_types_class_quant_lib_1_1_observer"><td class="memItemLeft" align="right" valign="top"><a id="a78de5f2b6bce96d718e3c18b9f52d67c"></a>
typedef boost::unordered_set&lt; ext::shared_ptr&lt; <a class="el" href="class_quant_lib_1_1_observable.html">Observable</a> &gt; &gt;&#160;</td><td class="memItemRight" valign="bottom"><b>set_type</b></td></tr>
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typedef set_type::iterator&#160;</td><td class="memItemRight" valign="bottom"><b>iterator</b></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><h3>template&lt;class copulaPolicy&gt;<br />
class QuantLib::DefaultLatentModel&lt; copulaPolicy &gt;</h3>

<p>Default event Latent Model. </p>
<p>This is a model for joint default events based on a generic Latent Model. It models solely the default events in a portfolio, not making any reference to severities, exposures, etc... An implicit correspondence is stablished between the variables modelled and the names in the basket given by the basket and model variable access indices. The class is parametric on the Latent Model copula.</p>
<dl class="section examples"><dt>Examples</dt><dd><a class="el" href="_latent_model_8cpp-example.html#_a10">LatentModel.cpp</a>.</dd>
</dl>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
<a id="a019be29faf648e301108d06cc4ddfac9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a019be29faf648e301108d06cc4ddfac9">&#9670;&nbsp;</a></span>DefaultLatentModel()</h2>

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          <td class="memname"><a class="el" href="class_quant_lib_1_1_default_latent_model.html">DefaultLatentModel</a> </td>
          <td>(</td>
          <td class="paramtype">const std::vector&lt; std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &gt; &amp;&#160;</td>
          <td class="paramname"><em>factorWeights</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramtype">LatentModelIntegrationType::LatentModelIntegrationType&#160;</td>
          <td class="paramname"><em>integralType</em>, </td>
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          <td class="paramtype">const initTraits &amp;&#160;</td>
          <td class="paramname"><em>ini</em> = <code>initTraits()</code>&#160;</td>
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          <td></td>
          <td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">factorWeights</td><td>Latent model independent factors weights for each variable. </td></tr>
    <tr><td class="paramname">integralType</td><td>Integration type. </td></tr>
    <tr><td class="paramname">ini</td><td>Copula initialization if any.</td></tr>
  </table>
  </dd>
</dl>
<dl class="caveats"><dt><b><a class="el" href="caveats.html#_caveats000018">Warning:</a></b></dt><dd>Baskets with realized defaults not tested/WIP. </dd></dl>

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<h2 class="groupheader">Member Function Documentation</h2>
<a id="a5ecfe2190404d92a4641d3478d82c067"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5ecfe2190404d92a4641d3478d82c067">&#9670;&nbsp;</a></span>conditionalDefaultProbability() <span class="overload">[1/2]</span></h2>

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          <td class="memname"><a class="el" href="group__types.html#gad9817a6a21dfcb91429f0152c99d6313">Probability</a> conditionalDefaultProbability </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="group__types.html#gad9817a6a21dfcb91429f0152c99d6313">Probability</a>&#160;</td>
          <td class="paramname"><em>prob</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group__types.html#gaf38bdb4c54463b1f456655efa95b5c77">Size</a>&#160;</td>
          <td class="paramname"><em>iName</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &amp;&#160;</td>
          <td class="paramname"><em>mktFactors</em>&#160;</td>
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          <td>)</td>
          <td></td><td> const</td>
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<p>Returns the probability of default of a given name conditional on the realization of a given set of values of the model independent factors. The date at which the probability is given is implicit in the probability since theres not other time dependence in this model. </p><dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">prob</td><td>Unconditional probability of default. </td></tr>
    <tr><td class="paramname">iName</td><td>desired name. </td></tr>
    <tr><td class="paramname">mktFactors</td><td>Value of LM independent factors. </td></tr>
  </table>
  </dd>
</dl>
<dl class="caveats"><dt><b><a class="el" href="caveats.html#_caveats000019">Warning:</a></b></dt><dd>Most often it is preferred to use the method below avoiding the cumulative inversion. </dd></dl>

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<h2 class="memtitle"><span class="permalink"><a href="#ac5c54df7ed3b930268c8d7752c101725">&#9670;&nbsp;</a></span>update()</h2>

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          <td class="memname">void update </td>
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<span class="mlabels"><span class="mlabel">protected</span><span class="mlabel">virtual</span></span>  </td>
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<p>This method must be implemented in derived classes. An instance of Observer does not call this method directly: instead, it will be called by the observables the instance registered with when they need to notify any changes. </p>

<p>Implements <a class="el" href="class_quant_lib_1_1_observer.html#a99b02345a8a15d3c5ea2844a2253f510">Observer</a>.</p>

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<h2 class="memtitle"><span class="permalink"><a href="#aeb0d6e75705e728822e13e88c5b77921">&#9670;&nbsp;</a></span>conditionalDefaultProbabilityInvP()</h2>

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          <td class="memname"><a class="el" href="group__types.html#gad9817a6a21dfcb91429f0152c99d6313">Probability</a> conditionalDefaultProbabilityInvP </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td>
          <td class="paramname"><em>invCumYProb</em>, </td>
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          <td class="paramname"><em>iName</em>, </td>
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          <td class="paramtype">const std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &amp;&#160;</td>
          <td class="paramname"><em>m</em>&#160;</td>
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<p>Returns the probability of default of a given name conditional on the realization of a given set of values of the model independent factors. The date at which the probability is given is implicit in the probability since theres not other time dependent in this model. Same intention as above but provides a performance opportunity, if the integration is along the market factors (as usually is) avoids computing the inverse of the probability on each call. </p><dl class="params"><dt>Parameters</dt><dd>
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    <tr><td class="paramname">invCumYProb</td><td>Inverse cumul of the unconditional probability of default, has to follow the same copula law for results to be coherent </td></tr>
    <tr><td class="paramname">iName</td><td>desired name. </td></tr>
    <tr><td class="paramname">m</td><td>Value of LM independent factors. </td></tr>
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<h2 class="memtitle"><span class="permalink"><a href="#a5034d127b501f9abe630adc9cbe89b8a">&#9670;&nbsp;</a></span>conditionalDefaultProbability() <span class="overload">[2/2]</span></h2>

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          <td class="memname"><a class="el" href="group__types.html#gad9817a6a21dfcb91429f0152c99d6313">Probability</a> conditionalDefaultProbability </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="class_quant_lib_1_1_date.html">Date</a> &amp;&#160;</td>
          <td class="paramname"><em>date</em>, </td>
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          <td class="paramname"><em>iName</em>, </td>
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          <td class="paramtype">const std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &amp;&#160;</td>
          <td class="paramname"><em>mktFactors</em>&#160;</td>
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<p>Returns the probability of default of a given name conditional on the realization of a given set of values of the model independent factors. </p><dl class="params"><dt>Parameters</dt><dd>
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    <tr><td class="paramname">date</td><td>The date for the probability of default. </td></tr>
    <tr><td class="paramname">iName</td><td>desired name. </td></tr>
    <tr><td class="paramname">mktFactors</td><td>Value of LM independent factors.</td></tr>
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<p>Same intention as the above methods. Usage of this one is typically more expensive because most often the date we call this method with repeats itself and with this one the probability can not be cached outside the call. </p>

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<h2 class="memtitle"><span class="permalink"><a href="#a1b5c6708a14f029c027a2ce8586ce9d7">&#9670;&nbsp;</a></span>condProbProduct()</h2>

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          <td class="memname"><a class="el" href="group__types.html#gad9817a6a21dfcb91429f0152c99d6313">Probability</a> condProbProduct </td>
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          <td class="paramtype"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a>&#160;</td>
          <td class="paramname"><em>invCumYProb1</em>, </td>
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          <td class="paramname"><em>iName1</em>, </td>
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          <td class="paramname"><em>iName2</em>, </td>
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          <td class="paramtype">const std::vector&lt; <a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> &gt; &amp;&#160;</td>
          <td class="paramname"><em>mktFactors</em>&#160;</td>
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<p>Conditional default probability product, intermediate step in the correlation calculation. </p>

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<h2 class="memtitle"><span class="permalink"><a href="#ab7f95052edaf9cea322b6e931ad72f0a">&#9670;&nbsp;</a></span>probOfDefault()</h2>

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          <td class="memname"><a class="el" href="group__types.html#gad9817a6a21dfcb91429f0152c99d6313">Probability</a> probOfDefault </td>
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<p>Computes the unconditional probability of default of a given name. Trivial method for testing </p>

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<h2 class="memtitle"><span class="permalink"><a href="#a8ae6f7a617ee77e605f36fb250fe985b">&#9670;&nbsp;</a></span>defaultCorrelation()</h2>

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          <td class="memname"><a class="el" href="group__types.html#ga4bdf4bfe76b9ffa6fa64c47d8bfa0c78">Real</a> defaultCorrelation </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="class_quant_lib_1_1_date.html">Date</a> &amp;&#160;</td>
          <td class="paramname"><em>d</em>, </td>
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          <td class="paramname"><em>iNamei</em>, </td>
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          <td class="paramname"><em>iNamej</em>&#160;</td>
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<p>Pearsons' default probability correlation. Users should consider specialization on the copula type for specific distributions since that might simplify the integrations, most importantly if this is to be used in calibration of observations for factor coefficients as it is expensive to integrate directly. </p>

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<h2 class="memtitle"><span class="permalink"><a href="#aea4623559adf69f35c874f9f6ae3e7d6">&#9670;&nbsp;</a></span>probAtLeastNEvents()</h2>

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          <td class="memname"><a class="el" href="group__types.html#gad9817a6a21dfcb91429f0152c99d6313">Probability</a> probAtLeastNEvents </td>
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          <td class="paramname"><em>n</em>, </td>
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          <td class="paramtype">const <a class="el" href="class_quant_lib_1_1_date.html">Date</a> &amp;&#160;</td>
          <td class="paramname"><em>date</em>&#160;</td>
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<p>Returns the probaility of having a given or larger number of defaults in the basket portfolio at a given time. </p>

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