Stochastic ordering of medians in exchangeable trivariate normal vectors

DOI10.1007/s11766-016-3344-9zbMath1363.62048OpenAlexW2466556935MaRDI QIDQ729671

Jamalizadeh Ahad, Madadi Mohsen, Amiri Mehdi, Narayanaswamy Balakrishnan

Publication date: 6 January 2017

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-016-3344-9

zbMATH Keywords

order statisticsmedianstochastic orderingskew-normal distribution2nd skew-normal distributionexchangeable trivariate normal distribution

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Inequalities; stochastic orderings (60E15) Characterization and structure theory for multivariate probability distributions; copulas (62H05)

Related Items (1)

Stochastic ordering of medians in samples from normal distributions

Cites Work

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• Order statistics from trivariate normal and \(t_{\nu}\)-distributions in terms of generalized skew-normal and skew-\(t_{\nu}\) distributions
• Some properties of skew-symmetric distributions
• A family of skew-symmetric-Laplace distributions
• A new class of skew-symmetric distributions and related families
• Some Relationships Between Skew-Normal Distributions and Order Statistics from Exchangeable Normal Random Vectors
• Quadratic forms for skew-normal random vectors

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