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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">

<HTML>
<HEAD>
<TITLE>RANDNF Generate Noncentral F-Distribution Random Variable
</TITLE>
</HEAD>
<BODY>
<H2>RANDNF Generate Noncentral F-Distribution Random Variable
</H2>
<P>
Section: <A HREF=sec_random.html> Random Number Generation </A>
<H3>Usage</H3>
Generates a vector of non-central F-distributed random variables
with the specified parameters.  The general syntax for its use is
<PRE>
   y = randnf(n,m,c)
</PRE>
<P>
where <code>n</code> is the number of degrees of freedom in the numerator,
and <code>m</code> is the number of degrees of freedom in the denominator.
The vector <code>c</code> determines the non-centrality shift of the numerator.
<H3>Function Internals</H3>
A non-central F-distributed random variable is the ratio of a
non-central chi-square random variable and a central chi-square random
variable, i.e.,
<P>
<DIV ALIGN="CENTER">
<IMG SRC="randnf_eqn1.png">
</DIV>
<P>
<H3>Example</H3>
Here we use the <code>randf</code> to generate some non-central F-distributed
random variables:
<PRE>
--&gt; randnf(5*ones(1,9),7,1.34)

ans = 

 Columns 1 to 8

    1.9422    0.5987    0.1890    0.7468    2.3759    8.2553    1.8047    0.2222 

 Columns 9 to 9

    2.2680 
</PRE>
<P>
</BODY>
</HTML>