Splitting up the distribution hierarchy
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                 Key: MATH-703
                 URL: https://issues.apache.org/jira/browse/MATH-703
             Project: Commons Math
          Issue Type: Improvement
            Reporter: Christian Winter
            Priority: Minor


As discussed on the mailing list 
(http://apache-commons.680414.n4.nabble.com/math-Distributions-over-sample-spaces-other-than-R-tp3931349p3931349.html),
 the distribution interfaces should be restructured.

The most important point is to create one root interface for each domain. There 
should *not* be a common super-interace because different domains require 
different functionality. Additionally, a super-inferface would require to 
parametrize the domain which makes things more complicated (e.g., "double" 
would have to be replaced by "Double"). Currently, Commons Math supports 
distributions with real domain and distributions with integer domain. Thus 
there will be the interfaces RealDistribution and IntegerDistribution.

Another point is to drop the special cases of distributions with real domain in 
order to simplify the structure. There won't be an interface for absolutely 
continuous distributions, and there won't be an interface for discrete 
distributions on the real domain. All the functionality required by the special 
cases can be defined in RealDistribution.

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