A Class of Tests with Monotone Power Functions for Two Problems in Multivariate Statistical Analysis
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Publication:5521208
DOI10.1214/aoms/1177699808zbMath0144.42203OpenAlexW2082619588MaRDI QIDQ5521208
Publication date: 1965
Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoms/1177699808
Related Items (13)
IG-symmetry and R-symmetry: Interrelations and applications to the inverse Gaussian theory ⋮ On the characterization of the extremal points of the unit sphere of matrices ⋮ The distribution of the characteristic roots of \(S_ 1 S_ 2^{-1}\) under violations in the complex case and power comparisons of four tests ⋮ Brunn-Minkowski inequality and its aftermath ⋮ A note on the union-intersection character of some MANOVA procedures ⋮ On the monotonicity of the power functions of tests based on traces of multivariate beta matrices ⋮ Power Function Studies ⋮ Distributions of characteristic roots in multivariate analysis Part II. Non-Null Distribution ⋮ A generalized monotone character of d.f.'s and moments of statistics from some well-known populations ⋮ R-Symmetry and the Power Functions of the Tests for Inverse Gaussian Means ⋮ Monotonicity of the power functions of some tests of hypotheses concerning multivariate complex normal distributions ⋮ On certain optimization problems related to matrix norms ⋮ Product-convolution of R-symmetric unimodal distributions: an analogue of Wintner's theorem
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