Admissibility and complete class results for the multinomial estimation problem with entropy and squared error loss

DOI10.1016/0047-259X(82)90057-4zbMath0539.62009MaRDI QIDQ794068

Ayodele Ighodaro, Lawrence D. Brown, Thomas J. Santner

Publication date: 1982

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

squared error lossmaximum likelihood estimatormultinomial distributionentropy lossBayes ruleminimal complete classnonpositive estimators

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Point estimation (62F10) Admissibility in statistical decision theory (62C15) Complete class results in statistical decision theory (62C07)

Related Items

Estimation of scale parameter under entropy loss function, Larry Brown's work on admissibility, Compromise between generalized bayes and bayes estimators of poisson means under entropy loss, Inadmissibility results of the mle for the multinomial problem when the parameter space is restricted or truncated

Cites Work

• Estimation of multinomial probabilities
• A new look at the Bayes procedure
• On the Admissible Estimators for Certain Fixed Sample Binomial Problems
• On Information and Sufficiency
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