Simultaneous estimation in discrete multivariate exponential families

DOI10.1214/AOS/1176347984zbMath0728.62033OpenAlexW2001173372MaRDI QIDQ805105

Jine-Phone Chou

Publication date: 1991

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176347984

zbMATH Keywords

lossmaximum likelihood estimatoruniformly minimum variance unbiased estimatorsimultaneous estimationnegative multinomial distributiondiscrete densitydiscrete multivariate exponential familiesquota fulfillment

Mathematics Subject Classification ID

Multivariate analysis (62H99) Estimation in multivariate analysis (62H12) Point estimation (62F10) Admissibility in statistical decision theory (62C15)

Related Items (10)

Bounded risk conditions in simultaneous estimation of independent Poisson means ⋮ Improving on the maximum likelihood estimators of the means in Poisson decomposable graphical models ⋮ New types of shrinkage estimators of Poisson means under the normalized squared error loss ⋮ Bayesian shrinkage approaches to unbalanced problems of estimation and prediction on the basis of negative multinomial samples ⋮ Bayesian shrinkage estimation of negative multinomial parameter vectors ⋮ Estimating the parameter of the population selected from discrete exponential family ⋮ Bayes admissible estimation of the means in Poisson decomposable graphical models ⋮ Simultaneous estimation of Poisson means in two-way contingency tables under normalized squared error loss ⋮ Moment identity for discrete random variable and its applications ⋮ Average worth estimation of the selected subset of Poisson populations

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