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<?xml version="1.0" encoding="utf-8"?>
<!-- $Revision: 297028 $ -->
<refentry xml:id="function.stats-cdf-beta" xmlns="http://docbook.org/ns/docbook">
<refnamediv>
<refname>stats_cdf_beta</refname>
<refpurpose>CDF function for BETA Distribution. Calculates any one parameter of the beta distribution given values for the others.</refpurpose>
</refnamediv>
<refsect1 role="description">
&reftitle.description;
<methodsynopsis>
<type>float</type><methodname>stats_cdf_beta</methodname>
<methodparam><type>float</type><parameter>par1</parameter></methodparam>
<methodparam><type>float</type><parameter>par2</parameter></methodparam>
<methodparam><type>float</type><parameter>par3</parameter></methodparam>
<methodparam><type>int</type><parameter>which</parameter></methodparam>
</methodsynopsis>
<para>
Method
Cumulative distribution function (P) is calculated directly by
code associated with the following reference.
DiDinato, A. R. and Morris, A. H. Algorithm 708: Significant
Digit Computation of the Incomplete Beta Function Ratios. ACM
Trans. Math. Softw. 18 (1993), 360-373.
Computation of other parameters involve a search for a value that
produces the desired value of P. The search relies on the
monotonicity of P with the other parameter.
Note
The beta density is proportional to
t^(A-1) * (1-t)^(B-1)
Arguments
P -- The integral from 0 to X of the chi-square
distribution.
Input range: [0, 1].
Q -- 1-P.
Input range: [0, 1].
P + Q = 1.0.
X -- Upper limit of integration of beta density.
Input range: [0,1].
Search range: [0,1]
Y -- 1-X.
Input range: [0,1].
Search range: [0,1]
X + Y = 1.0.
A -- The first parameter of the beta density.
Input range: (0, +infinity).
Search range: [1D-100,1D100]
B -- The second parameter of the beta density.
Input range: (0, +infinity).
Search range: [1D-100,1D100]
STATUS -- 0 if calculation completed correctly
-I if input parameter number I is out of range
1 if answer appears to be lower than lowest
search bound
2 if answer appears to be higher than greatest
search bound
3 if P + Q .ne. 1
4 if X + Y .ne. 1
BOUND -- Undefined if STATUS is 0
Bound exceeded by parameter number I if STATUS
is negative.
Lower search bound if STATUS is 1.
Upper search bound if STATUS is 2.
</para>
</refsect1>
<refsect1 role="parameters">
&reftitle.parameters;
<para>
<variablelist>
<varlistentry>
<term><parameter>par1</parameter></term>
<listitem>
<para>
</para>
</listitem>
</varlistentry>
<varlistentry>
<term><parameter>par2</parameter></term>
<listitem>
<para>
</para>
</listitem>
</varlistentry>
<varlistentry>
<term><parameter>par3</parameter></term>
<listitem>
<para>
</para>
</listitem>
</varlistentry>
<varlistentry>
<term><parameter>which</parameter></term>
<listitem>
<para>
Integer indicating which of the next four argument
values is to be calculated from the others.
Legal range: 1..4
which = 1 : Calculate P and Q from X,Y,A and B
which = 2 : Calculate X and Y from P,Q,A and B
which = 3 : Calculate A from P,Q,X,Y and B
which = 4 : Calculate B from P,Q,X,Y and A
</para>
</listitem>
</varlistentry>
</variablelist>
</para>
</refsect1>
<refsect1 role="returnvalues">
&reftitle.returnvalues;
<para>
STATUS -- 0 if calculation completed correctly
-I if input parameter number I is out of range
1 if answer appears to be lower than lowest
search bound
2 if answer appears to be higher than greatest
search bound
3 if P + Q .ne. 1
4 if X + Y .ne. 1
</para>
</refsect1>
<!-- Use when ERRORS exist
<refsect1 role="errors">
&reftitle.errors;
<para>
When does this function throw E_* level errors, or exceptions?
</para>
</refsect1>
-->
<!-- Use when a CHANGELOG exists
<refsect1 role="changelog">
&reftitle.changelog;
<para>
<informaltable>
<tgroup cols="2">
<thead>
<row>
<entry>&Version;</entry>
<entry>&Description;</entry>
</row>
</thead>
<tbody>
<row>
<entry>Enter the PHP version of change here</entry>
<entry>Description of change</entry>
</row>
</tbody>
</tgroup>
</informaltable>
</para>
</refsect1>
-->
<!-- Use when examples exist
<refsect1 role="examples">
&reftitle.examples;
<para>
<example>
<title>A <function>stats_cdf_beta</function> example</title>
<para>
Any text that describes the purpose of the example, or
what goes on in the example should go here (inside the
<example> tag, not out
</para>
<programlisting role="php">
<![CDATA[
<?php
if ($anexample === true) {
echo 'Use the PEAR Coding Standards';
}
?>
]]>
</programlisting>
&example.outputs;
<screen>
<![CDATA[
Use the PEAR Coding Standards
]]>
</screen>
</example>
</para>
</refsect1>
-->
<!-- Use when adding See Also links
<refsect1 role="seealso">
&reftitle.seealso;
<para>
<simplelist>
<member><function></function></member>
<member>Or <link linkend="somethingelse">something else</link></member>
</simplelist>
</para>
</refsect1>
-->
</refentry>
<!-- Keep this comment at the end of the file
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sgml-minimize-attributes:nil
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sgml-parent-document:nil
sgml-default-dtd-file:"~/.phpdoc/manual.ced"
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vim600: syn=xml fen fdm=syntax fdl=2 si
vim: et tw=78 syn=sgml
vi: ts=1 sw=1
-->
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