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Local admissibility and local unbiasedness in hypothesis testing problems

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Publication:1193354
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DOI10.1214/AOS/1176348659zbMath0767.62006OpenAlexW1967439637MaRDI QIDQ1193354

John I. Marden, Lawrence D. Brown

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1214/aos/1176348659


zbMATH Keywords

exponential familieslinear regressionpower functionside constraintstests for independenceordered alternativeslocal unbiasednessone-parameter familiessimple null hypothesishalf-space alternativesindependence of variateslocal admissibilitylocal power optimality criterialocally most mean power unbiased testslocally most powerful unbiased testslocally pointed alternativesmaximum local curvaturenormal linear modelssecond order Taylor expansion


Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Hypothesis testing in multivariate analysis (62H15) Admissibility in statistical decision theory (62C15) Complete class results in statistical decision theory (62C07)


Related Items (3)

Simple sufficient condition for inadmissibility of Moran's single-split test ⋮ Larry Brown's work on admissibility ⋮ Unnamed Item







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