Nonparametric empirical bayes estimation of the distribution function and the mean

DOI10.1080/03610928908829888zbMath0696.62185OpenAlexW2081749707MaRDI QIDQ3473174

Malay Ghosh, Ram C. Tiwari, Parthasarathi Lahiri

Publication date: 1989

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928908829888

zbMATH Keywords

distribution functionasymptotic optimalityBayes riskDirichlet process priorempirical Bayes estimationDirichlet invariant processrelative savings loss

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Empirical decision procedures; empirical Bayes procedures (62C12)

Related Items (5)

Nonparametric Bayes and empirical Bayes estimation of the population median, with application in finite-population sampling ⋮ Nonparametric Bayes and empirical Bayes estimators of mean residual life at age \(t\) ⋮ Asymptotic optimality of hierarchical Bayes estimators and predictors ⋮ A Class of Permutation Tests for Stratified Survival Data ⋮ Incorporating historical controls in testing for a trend in multinomial proportions

Cites Work

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• Dirichlet invariant processes and applications to nonparametric estimation of symmetric distribution functions
• A note on the asymptotic optimality of the empirical Bayes distribution function
• Empirical Bayes estimation of a distribution function
• A Bayesian analysis of some nonparametric problems
• Bayes estimates of estimable parameters with a direchlet invariant process
• Distinguishing Among Distributions Using Data from Complex Sample Designs
• Empirical Bayes Estimation in Finite Population Sampling
• Stein's Estimation Rule and Its Competitors--An Empirical Bayes Approach

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