Hall, Richard L.; Kanter, Marek; Perlman, Michael D. Inequalities for the probability content of a rotated square and related convolutions. (English) Zbl 0452.60024 Ann. Probab. 8, 802-813 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 3 Documents MSC: 60E15 Inequalities; stochastic orderings 26A51 Convexity of real functions in one variable, generalizations 60D05 Geometric probability and stochastic geometry 60E05 Probability distributions: general theory 62H15 Hypothesis testing in multivariate analysis Keywords:logarithmic concavity; logarithmic convexity; increasing failure rate; decreasing failure rate; Laplace transform; convolution; Gaussian density; noncentral chi-squared distribution; square; cube; Schur concavity PDF BibTeX XML Cite \textit{R. L. Hall} et al., Ann. Probab. 8, 802--813 (1980; Zbl 0452.60024) Full Text: DOI OpenURL