Monotone empirical Bayes test for uniform distributions using the maximum likelihood estimator of a decreasing density

DOI10.1214/aos/1176350381zbMath0624.62011OpenAlexW2075739098MaRDI QIDQ578773

Hans C. van Houwelingen

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1214/aos/1176350381

zbMATH Keywords

maximum likelihood estimatoruniform distributionasymptotic distribution of Bayes riskleast concave majorant of the empirical distributionmonotone empirical Bayes test

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Empirical decision procedures; empirical Bayes procedures (62C12)

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On Empirical Bayes Testing for a Location Parameter in a Shifted Gamma Distribution ⋮ On empirical Bayes estimation in the location family ⋮ Empirical Bayes testing procedures in some nonexponential families using asymmetric Linex loss function ⋮ Asymptotically optimal empirical bayes procedures for selecting good ⋮ Monotone empirical Bayes tests for some discrete nonexponential families ⋮ An empirical bayes procedure for testing a truncation parameter ⋮ On the convergence rates of a monotone empirical Bayes test for uniform distributions ⋮ Empirical Bayes estimation for truncation parameters ⋮ Hans van Houwelingen, 40 Years in Biostatistics ⋮ Empirical Bayes Testing for Uniform Distributions: Non Identical Components Case ⋮ Testing in two parameter exponential distributions via empirical Bayes method ⋮ Empirical bayes estimation with non-identical components

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