Inequalities for the partial sums of elliptical order statistics related to genetic selection

DOI10.2307/3315483zbMath0721.62050OpenAlexW2035910759MaRDI QIDQ5753390

Jia-Juang Liang, Kai-Tai Fang

Publication date: 1989

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3315483

zbMATH Keywords

elliptical distributionslinear combinations of order statisticsselection differentialgenetic selectionexchangeable normal variablescommon correlation

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Multivariate analysis (62H99) Inequalities; stochastic orderings (60E15) Applications of statistics to biology and medical sciences; meta analysis (62P10) Order statistics; empirical distribution functions (62G30)

Related Items (1)

Stochastic orderings of multivariate elliptical distributions

Cites Work

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• On the theory of elliptically contoured distributions
• Some Applications of Inequalities for Extreme Order Statistics to a Genetic Selection Problem
• Order Statistics of Correlated Variables and Implications in Genetic Selection Programmes
• Order Statistics for a Special Class of Unequally Correlated Multinormal Variates
• Order Statistics of Correlated Variables and Implications in Genetic Selection Programmes. II. Response to Selection

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