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        <identifier>oai.jstatsoft/v05/i08</identifier>
        <datestamp>2000-10-02</datestamp>
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          <dc:title>The Ziggurat Method for Generating Random Variables</dc:title>
          <dc:creator>George Marsaglia</dc:creator>
          <dc:creator>Wai Wan Tsang</dc:creator>
          <dc:date>2000-10-02</dc:date>
          <dc:publisher>Journal of Statistical Software</dc:publisher>
          <dc:description>
            <![CDATA[Vol. 5, Issue 8, Oct 2000
Abstract:
We provide a new version of our ziggurat method for generating a random variable from a given decreasing density. It is faster and simpler than the original, and will produce, for example, normal or exponential variates at the rate of 15 million per second with a C version on a 400MHz PC. It uses two tables, integers k<sub>i</sub>, and reals w<sub>i</sub>. Some 99% of the time, the required x is produced by: Generate a random 32-bit integer j and let i be the index formed from the rightmost 8 bits of j. If j &lt; k, return x = j x w<sub>i</sub>.
  
We illustrate with C code that provides for inline generation of both normal and exponential variables, with a short procedure for settting up the necessary tables.]]>
          </dc:description>
          <dc:subject>Statistics</dc:subject>
          <dc:subject>Software</dc:subject>
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