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https://issues.apache.org/jira/browse/MATH-699?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13162458#comment-13162458
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Christian Winter edited comment on MATH-699 at 12/4/11 8:37 PM:
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Yes, we can get rid of {{IntegerDistribution.getDomainLowerBound(double)}} and
{{IntegerDistribution.getDomainUpperBound(double)}}. I will do this in the
reimplementation of
{{IntegerDistribution.inverseCumulativeProbability(double)}} based on MATH-692.
Using Chebyshev's inequality also can be adopted. But a plateau detection step
is not needed there because {{IntegerDistribution}} requires its own solver for
finding the inverse cumulative probability anyway. Thus this solver can apply
the correct inequalities for finding the "right" quantile automatically. (Using
the "correct" inequalies for the solver in {{RealDistribution}} wasn't an
option because an existing general purpose solver is utilized there.)
was (Author: cwinter):
Yes, we can get rid of {{IntegerDistribution.getDomainLowerBound(double)}}
and {{IntegerDistribution.getDomainUpperBound(double)}}. I will do this in the
reimplementation of
{{IntegerDistribution.inverseCumulativeProbability(double)}} based on MATH-692.
> inverseCumulativeDistribution fails with cumulative distribution having a
> plateau
> ---------------------------------------------------------------------------------
>
> Key: MATH-699
> URL: https://issues.apache.org/jira/browse/MATH-699
> Project: Commons Math
> Issue Type: Bug
> Affects Versions: 2.2
> Reporter: Sébastien Brisard
> Assignee: Sébastien Brisard
> Priority: Minor
> Fix For: 3.0
>
> Attachments: AbstractContinuousDistributionTest.java,
> inv-cum-new-impl.zip
>
>
> This bug report follows MATH-692. The attached unit test fails. As required
> by the definition in MATH-692, the lower-bound of the interval on which the
> cdf is constant should be returned. This is not so at the moment.
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