Schur-convexity of 2nd order, certain subclass of multivariate arrangement increasing functions with applications in statistics

DOI10.1016/j.jmva.2012.11.013zbMath1277.62168OpenAlexW2074364336MaRDI QIDQ391511

Mikhail Revyakov

Publication date: 10 January 2014

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2012.11.013

zbMATH Keywords

reliabilitymajorizationmonotone likelihood ratiosample meantestsranking of populationsstatistical decision functionssymmetric log-concave density

Mathematics Subject Classification ID

Multivariate analysis (62H99) Statistical decision theory (62C99) Statistical ranking and selection procedures (62F07)

Related Items (3)

The Schur multiplicative and harmonic convexities for three classes of symmetric functions ⋮ Ranking and selection of populations on the base of sample means ⋮ Schur-convex functions of the 2nd order on $\mathbb {R}^n$

Cites Work

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• Multivariate arrangement increasing functions with applications in probability and statistics
• On ranking treatment effects in a general linear model
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• A Convolutive Class of Monotone Likelihood Ratio Families
• Optimal allocation of components in parallel–series and series–parallel systems
• Ranking of populations in parameter′s modulus
• On a Theorem of Bahadur and Goodman
• Peakedness of Distributions of Convex Combinations
• Some Optimum Properties of Ranking Procedures
• Some Selection Problems Involving Folded Normal Distribution
• Inequalities: theory of majorization and its applications

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