Replaced the BinomialDistribution existing PDF with Catherine Loader's
algorithm (as per wishlist on the wiki page)
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Key: MATH-311
URL: https://issues.apache.org/jira/browse/MATH-311
Project: Commons Math
Issue Type: Improvement
Reporter: Nipun Jawalkar
Priority: Minor
The existing PDF for Binomial distributions cannot handle n>1029. This
implementation of Catherine Loader's algorithm can handle n upto and larger
than 1000000. The Commons-Math wiki page has a wishlist entry asking for this,
with a link to the paper describing the new algorithm:
http://projects.scipy.org/scipy/raw-attachment/ticket/620/loader2000Fast.pdf
I've updated the probability() function in BInomialDistributionImpl.java, as
well as the unit test for this method. The updated unit test has higher
precision expected values, which were calculated with Mathematica 6.
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