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https://issues.apache.org/jira/browse/MATH-1153?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=14249116#comment-14249116
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Phil Steitz commented on MATH-1153:
-----------------------------------

The test failure is due to the fact that after the patch, the Beta distribution 
sample() method no longer uses the default inversion-based method provided by 
AbstractRealDistribution.  Either the test should be dropped, or it should be 
modified to use a distribution that uses inversion-based sampling, which to 
prevent this happening again should be a concrete dist class defined just for 
this test.  I think the test should be dropped.  It was introduced before 
sampling moved to the distributions and is really a test of inversion-based 
sampling.  If we really want to keep a test of the inversion algorithm, it 
should probably move to AbstractRealDistributionTest.  I would be +1 for just 
dropping it.

> Sampling from a 'BetaDistribution' is slow
> ------------------------------------------
>
>                 Key: MATH-1153
>                 URL: https://issues.apache.org/jira/browse/MATH-1153
>             Project: Commons Math
>          Issue Type: Improvement
>            Reporter: Sergei Lebedev
>            Priority: Minor
>             Fix For: 3.4
>
>         Attachments: ChengBetaSampler.java, ChengBetaSamplerTest.java
>
>
> Currently the `BetaDistribution#sample` uses inverse CDF method, which is 
> quite slow for sampling-intensive computations. I've implemented a method 
> from the R. C. H. Cheng paper and it seems to work much better. Here's a 
> simple microbenchmark:
> {code}
> o.j.b.s.SamplingBenchmark.algorithmBCorBB       1e-3    1000  thrpt        5  
> 2592200.015    14391.520  ops/s
> o.j.b.s.SamplingBenchmark.algorithmBCorBB       1000    1000  thrpt        5  
> 3210800.292    33330.791  ops/s
> o.j.b.s.SamplingBenchmark.commonsVersion        1e-3    1000  thrpt        5  
>   31034.225      438.273  ops/s
> o.j.b.s.SamplingBenchmark.commonsVersion        1000    1000  thrpt        5  
>   21834.010      433.324  ops/s
> {code}
> Should I submit a patch?
> R. C. H. Cheng (1978). Generating beta variates with nonintegral shape 
> parameters. Communications of the ACM, 21, 317–322.



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