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</script></head><body><div id="package-header"><ul class="links" id="page-menu"><li><a href="src/Statistics-Distribution-Poisson.html">Source</a></li><li><a href="index.html">Contents</a></li><li><a href="doc-index.html">Index</a></li></ul><p class="caption">statistics-0.13.2.3: A library of statistical types, data, and functions</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Copyright</th><td>(c) 2009, 2011 Bryan O'Sullivan</td></tr><tr><th>License</th><td>BSD3</td></tr><tr><th>Maintainer</th><td>bos@serpentine.com</td></tr><tr><th>Stability</th><td>experimental</td></tr><tr><th>Portability</th><td>portable</td></tr><tr><th>Safe Haskell</th><td>None</td></tr><tr><th>Language</th><td>Haskell98</td></tr></table><p class="caption">Statistics.Distribution.Poisson</p></div><div id="table-of-contents"><p class="caption">Contents</p><ul><li><a href="#g:1">Constructors</a></li><li><a href="#g:2">Accessors</a></li><li><a href="#g:3">References</a></li></ul></div><div id="description"><p class="caption">Description</p><div class="doc"><p>The Poisson distribution. This is the discrete probability
distribution of a number of events occurring in a fixed interval if
these events occur with a known average rate, and occur
independently from each other within that interval.</p></div></div><div id="synopsis"><p id="control.syn" class="caption expander" onclick="toggleSection('syn')">Synopsis</p><ul id="section.syn" class="hide" onclick="toggleSection('syn')"><li class="src short"><span class="keyword">data</span> <a href="#t:PoissonDistribution">PoissonDistribution</a></li><li class="src short"><a href="#v:poisson">poisson</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Prelude.html#t:Double">Double</a> -> <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a></li><li class="src short"><a href="#v:poissonLambda">poissonLambda</a> :: <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Prelude.html#t:Double">Double</a></li></ul></div><div id="interface"><h1>Documentation</h1><div class="top"><p class="src"><span class="keyword">data</span> <a name="t:PoissonDistribution" class="def">PoissonDistribution</a> <a href="src/Statistics-Distribution-Poisson.html#PoissonDistribution" class="link">Source</a></p><div class="subs instances"><p id="control.i:PoissonDistribution" class="caption collapser" onclick="toggleSection('i:PoissonDistribution')">Instances</p><div id="section.i:PoissonDistribution" class="show"><table><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Eq.html#t:Eq">Eq</a> <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a></span> <a href="src/Statistics-Distribution-Poisson.html#line-40" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Data-Data.html#t:Data">Data</a> <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a></span> <a href="src/Statistics-Distribution-Poisson.html#line-40" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Text-Read.html#t:Read">Read</a> <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a></span> <a href="src/Statistics-Distribution-Poisson.html#line-40" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Text-Show.html#t:Show">Show</a> <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a></span> <a href="src/Statistics-Distribution-Poisson.html#line-40" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/GHC-Generics.html#t:Generic">Generic</a> <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a></span> <a href="src/Statistics-Distribution-Poisson.html#line-40" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/libghc-aeson-doc/html/Data-Aeson-Types.html#t:ToJSON">ToJSON</a> <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a></span> <a href="src/Statistics-Distribution-Poisson.html#line-43" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/libghc-aeson-doc/html/Data-Aeson-Types.html#t:FromJSON">FromJSON</a> <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a></span> <a href="src/Statistics-Distribution-Poisson.html#line-42" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="file:///usr/share/doc/ghc-doc/html/libraries/binary-0.7.5.0/Data-Binary.html#t:Binary">Binary</a> <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a></span> <a href="src/Statistics-Distribution-Poisson.html#line-45" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Statistics-Distribution.html#t:Entropy">Entropy</a> <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a></span> <a href="src/Statistics-Distribution-Poisson.html#line-74" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Statistics-Distribution.html#t:MaybeEntropy">MaybeEntropy</a> <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a></span> <a href="src/Statistics-Distribution-Poisson.html#line-77" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Statistics-Distribution.html#t:Variance">Variance</a> <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a></span> <a href="src/Statistics-Distribution-Poisson.html#line-62" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Statistics-Distribution.html#t:MaybeVariance">MaybeVariance</a> <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a></span> <a href="src/Statistics-Distribution-Poisson.html#line-71" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Statistics-Distribution.html#t:Mean">Mean</a> <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a></span> <a href="src/Statistics-Distribution-Poisson.html#line-65" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Statistics-Distribution.html#t:MaybeMean">MaybeMean</a> <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a></span> <a href="src/Statistics-Distribution-Poisson.html#line-68" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Statistics-Distribution.html#t:DiscreteDistr">DiscreteDistr</a> <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a></span> <a href="src/Statistics-Distribution-Poisson.html#line-56" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><a href="Statistics-Distribution.html#t:Distribution">Distribution</a> <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a></span> <a href="src/Statistics-Distribution-Poisson.html#line-49" class="link">Source</a></td><td class="doc empty"> </td></tr><tr><td class="src clearfix"><span class="inst-left"><span class="keyword">type</span> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/GHC-Generics.html#t:Rep">Rep</a> <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a></span> <a href="src/Statistics-Distribution-Poisson.html#line-38" class="link">Source</a></td><td class="doc empty"> </td></tr></table></div></div></div><h1 id="g:1">Constructors</h1><div class="top"><p class="src"><a name="v:poisson" class="def">poisson</a> :: <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Prelude.html#t:Double">Double</a> -> <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a> <a href="src/Statistics-Distribution-Poisson.html#poisson" class="link">Source</a></p><div class="doc"><p>Create Poisson distribution.</p></div></div><h1 id="g:2">Accessors</h1><div class="top"><p class="src"><a name="v:poissonLambda" class="def">poissonLambda</a> :: <a href="Statistics-Distribution-Poisson.html#t:PoissonDistribution">PoissonDistribution</a> -> <a href="file:///usr/share/doc/ghc-doc/html/libraries/base-4.8.2.0/Prelude.html#t:Double">Double</a> <a href="src/Statistics-Distribution-Poisson.html#poissonLambda" class="link">Source</a></p></div><h1 id="g:3">References</h1><div class="doc"><ul><li>Loader, C. (2000) Fast and Accurate Computation of Binomial
Probabilities. <a href="http://projects.scipy.org/scipy/raw-attachment/ticket/620/loader2000Fast.pdf">http://projects.scipy.org/scipy/raw-attachment/ticket/620/loader2000Fast.pdf</a></li><li>Adell, J., Lekuona, A., and Yu, Y. (2010) Sharp Bounds on the
Entropy of the Poisson Law and Related Quantities
<a href="http://arxiv.org/pdf/1001.2897.pdf">http://arxiv.org/pdf/1001.2897.pdf</a></li></ul></div></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.16.1</p></div></body></html>
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