Complete class results for hypothesis testing problems with simple null hypotheses

DOI10.1214/AOS/1176347012zbMath0685.62008OpenAlexW1997272527MaRDI QIDQ1826239

John I. Marden, Lawrence D. Brown

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1214/aos/1176347012

zbMATH Keywords

correlationexponential familiesbivariate normal distributioninvariant testssimple hypothesescharacterization of admissibilityEssentially complete class resultslimits of Bayes tests.shifted double exponential distribution

Mathematics Subject Classification ID

Hypothesis testing in multivariate analysis (62H15) Bayesian problems; characterization of Bayes procedures (62C10) Asymptotic properties of parametric tests (62F05) Complete class results in statistical decision theory (62C07)

Related Items (7)

Simple sufficient condition for inadmissibility of Moran's single-split test ⋮ Complete classes of tests for regularly varying distributions ⋮ Minimal complete classes of invariant tests for equality of normal covariance matrices and sphericity ⋮ Admissibility of exact conditional tests of stochastic order ⋮ Larry Brown's work on admissibility ⋮ On inadmissibility of Hotelling \(T^{2}\)-tests for restricted alternatives. ⋮ Admissibility in Partial Conjunction Testing

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