Multiparameter estimation for some multivariate discrete distributions with possibly dependent components

DOI10.1007/BF02482499zbMath0588.62012OpenAlexW2073620594MaRDI QIDQ1073476

Kam-Wah Tsui

Publication date: 1986

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02482499

zbMATH Keywords

inadmissibilitydependencedifference inequalitymultivariate discrete distributionsinfinite supportClevenson- Zidek type estimatorsdominate estimatormean of a negative multinomial distributionsquared loss functions

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Admissibility in statistical decision theory (62C15)

Related Items (4)

Bayesian shrinkage approaches to unbalanced problems of estimation and prediction on the basis of negative multinomial samples ⋮ Simultaneous estimation of the hardy-weinberg proportions ⋮ Bayesian shrinkage estimation of negative multinomial parameter vectors ⋮ Diagnostic tools for a multivariate negative binomial model for fitting correlated data with overdispersion

Cites Work

• Construction of improved estimators in multiparameter estimation for discrete exponential families
• Simultaneous estimation of several Poisson parameters under squared error loss
• Simultaneous estimation of several Poisson parameters under k-normalized squared error loss
• Improving upon standard estimators in discrete exponential families with applications to Poisson and negative binomial cases
• Negative multinomial distribution
• Robustness of Clevenson-Zidek-Type Estimators
• Simultaneous Estimation of the Means of Independent Poisson Laws
• Unnamed Item

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