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Sufficiency and Partitions of the Class of All Possible Discrete Distributions

Glen Meeden
The American Statistician
Vol. 40, No. 1 (Feb., 1986), pp. 42-44
DOI: 10.2307/2683116
Stable URL: http://www.jstor.org/stable/2683116
Page Count: 3
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Sufficiency and Partitions of the Class of All Possible Discrete Distributions
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Abstract

For discrete statistical models it is shown that any statistic induces a partition of the set of all possible distributions defined on the sample space. This partition identifies the subsets of the parameter space for which the statistic is sufficient.

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