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    <title>MATLAB Central Newsreader - performing monte-carlo integration</title>
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      <pubDate>Wed, 11 Mar 2009 18:55:03 -0400</pubDate>
      <title>performing monte-carlo integration</title>
      <link>http://www.mathworks.com/matlabcentral/newsreader/view_thread/246442#634134</link>
      <author>Pete sherer</author>
      <description>Hi,&lt;br&gt;
&lt;br&gt;
I have an empirical joint density function of a 2 variates (X1 and X2).  Also I have another function that is a function of x1 and x2.  I can do the numerical integration to convolve the 2 types of information.  My question is that&lt;br&gt;
Are there ways to simulate joint realizations of X1 and X2 following the empirical density function?  &lt;br&gt;
&lt;br&gt;
Thank you for any hints you provide in advance.&lt;br&gt;
Pete</description>
    </item>
    <item>
      <pubDate>Wed, 11 Mar 2009 20:14:35 -0400</pubDate>
      <title>Re: performing monte-carlo integration</title>
      <link>http://www.mathworks.com/matlabcentral/newsreader/view_thread/246442#634152</link>
      <author>Peter Perkins</author>
      <description>Pete sherer wrote:&lt;br&gt;
&lt;br&gt;
&amp;gt; I have an empirical joint density function of a 2 variates (X1 and X2).  Also I have another function that is a function of x1 and x2.  I can do the numerical integration to convolve the 2 types of information.  My question is that&lt;br&gt;
&amp;gt; Are there ways to simulate joint realizations of X1 and X2 following the empirical density function?  &lt;br&gt;
&lt;br&gt;
You haven't said what kind of empirical density estimate you have.  The answer might be, &quot;resample from your data&quot;, or it might be &quot;resample from your data and add some bivariate normal noise&quot;, or it might be something else, depending on what you have.&lt;br&gt;
&lt;br&gt;
Hope this helps.</description>
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