Monotonicity properties of the power functions of likelihood ratio tests for normal mean hypotheses constrained by a linear space and a cone

DOI10.1214/aos/1176325642zbMath0818.62056OpenAlexW2057207261MaRDI QIDQ1805565

Publication date: 21 August 1995

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

Full work available at URL: https://doi.org/10.1214/aos/1176325642

zbMATH Keywords

convexity order restricted inference monotonicity properties unbiased tests unknown variances Anderson's inequality elliptically contoured, unimodal densities

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Hypothesis testing in multivariate analysis (62H15) Parametric inference under constraints (62F30)

Related Items (6)

Stochastic monotonicity of a distribution family associated with matrix projections and its application ⋮ A note on the power superiority of the restricted likelihood ratio test ⋮ Unbiasedness on rays of the tests of locations of homogeneous means in isotonic regression ⋮ Two-stage likelihood ratio and union-intersection tests for one-sided alternatives multivariate mean with nuisance dispersion matrix ⋮ Directional monotonicity properties of the power functions of likelihood ratio tests for cone-restricted hypotheses ⋮ The one-way layout with ordered parameters: a survey of advances since 1988

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