Sufficiency and partitions of the class of all possible discrete distributions

Glen Meeden

doi:10.1080/00031305.1986.10475353

Sufficiency and partitions of the class of all possible discrete distributions

Glen Meeden

Statistics (Twin Cities)

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English (US)
Pages (from-to)	42-44
Number of pages	3
Journal	American Statistician
Volume	40
Issue number	1
DOIs	https://doi.org/10.1080/00031305.1986.10475353
State	Published - Feb 1986

Bibliographical note

Funding Information:
*Glen Meeden is Professor, Department of Statistics, Iowa State University, Ames, IA 5001 1. Research was supported by National Science Foundation Grant MCS-8401740.

Keywords

Discrete probability
Sufficient statistics

Publisher link

10.1080/00031305.1986.10475353

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title = "Sufficiency and partitions of the class of all possible discrete distributions",

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.",

keywords = "Discrete probability, Sufficient statistics",

author = "Glen Meeden",

note = "Funding Information: *Glen Meeden is Professor, Department of Statistics, Iowa State University, Ames, IA 5001 1. Research was supported by National Science Foundation Grant MCS-8401740.",

year = "1986",

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N2 - 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.

AB - 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.

KW - Discrete probability

KW - Sufficient statistics

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UR - https://www.scopus.com/pages/publications/84952617736#tab=citedBy

U2 - 10.1080/00031305.1986.10475353

DO - 10.1080/00031305.1986.10475353

M3 - Article

AN - SCOPUS:84952617736

SN - 0003-1305

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SP - 42

EP - 44

JO - American Statistician

JF - American Statistician

IS - 1

ER -

Sufficiency and partitions of the class of all possible discrete distributions

Abstract

Bibliographical note

Keywords

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