A minimal complete class theorem for decision problems where the parameter space contains only finitely many points

Seung Chun Li; Glen D Meeden

doi:10.1007/BF01895320

A minimal complete class theorem for decision problems where the parameter space contains only finitely many points

Seung Chun Li, Glen D Meeden

Statistics (Twin Cities)

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

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Abstract

In this note we show that the class of stepwise Bayes procedures, suitable defined, forms the minimal complete class for decision problems where the parameter contains only finitely many points. Beyond the assumption on the parameter space, the result is quite general and extends some earlier results.

Original language	English (US)
Pages (from-to)	227-232
Number of pages	6
Journal	Metrika
Volume	41
Issue number	1
DOIs	https://doi.org/10.1007/BF01895320
State	Published - Dec 1 1994

Keywords

62C15
AMS 1991 Subject Classification
Bayes procedure
Primary 62C07
Secondary 62C10
admissible procedure
finite parameter space
minimal complete class theorem
stepwise Bayes procedure

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10.1007/BF01895320

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abstract = "In this note we show that the class of stepwise Bayes procedures, suitable defined, forms the minimal complete class for decision problems where the parameter contains only finitely many points. Beyond the assumption on the parameter space, the result is quite general and extends some earlier results.",

keywords = "62C15, AMS 1991 Subject Classification, Bayes procedure, Primary 62C07, Secondary 62C10, admissible procedure, finite parameter space, minimal complete class theorem, stepwise Bayes procedure",

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year = "1994",

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AU - Meeden, Glen D

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N2 - In this note we show that the class of stepwise Bayes procedures, suitable defined, forms the minimal complete class for decision problems where the parameter contains only finitely many points. Beyond the assumption on the parameter space, the result is quite general and extends some earlier results.

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KW - AMS 1991 Subject Classification

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KW - Primary 62C07

KW - Secondary 62C10

KW - admissible procedure

KW - finite parameter space

KW - minimal complete class theorem

KW - stepwise Bayes procedure

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A minimal complete class theorem for decision problems where the parameter space contains only finitely many points

Abstract

Keywords

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