Inequalities for the probability content of a rotated square and related convolutions

DOI10.1214/AOP/1176994667zbMath0452.60024OpenAlexW2011742507MaRDI QIDQ1148605

Michael D. Perlman, Marek Kanter, Richard L. Hall

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1214/aop/1176994667

zbMATH Keywords

Laplace transformconvolutionsquaredecreasing failure ratecubeincreasing failure ratelogarithmic convexitylogarithmic concavityGaussian densitynoncentral chi-squared distributionSchur concavity

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Hypothesis testing in multivariate analysis (62H15) Geometric probability and stochastic geometry (60D05) Probability distributions: general theory (60E05) Convexity of real functions in one variable, generalizations (26A51)

Related Items (3)

Inequalities for the probability content of a rotated ellipse and related stochastic domination results ⋮ Schur\(^2\)-concavity properties of Gaussian measures, with applications to hypotheses testing ⋮ Shape optimal design criterion in linear models

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