Stochastic comparisons of order statistics from gamma distributions

DOI10.1016/j.jmva.2004.01.009zbMath1058.60014OpenAlexW1997728889MaRDI QIDQ707401

Lihong Sun, Xin Sheng Zhang

Publication date: 9 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jmva.2004.01.009

zbMATH Keywords

gamma distributionmajorizationSchur-convexusual stochastic ordering

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30)

Related Items (19)

REVERSED HAZARD ORDER FOR PARALLEL SYSTEMS CONSISTING OF GAMMA COMPONENTS WITH DIFFERENT SHAPE PARAMETERS ⋮ Stochastic comparisons of order statistics from scaled and interdependent random variables ⋮ COMPARISONS ON LARGEST ORDER STATISTICS FROM HETEROGENEOUS GAMMA SAMPLES ⋮ On stochastic comparisons of maximum order statistics from the location-scale family of distributions ⋮ On comparison of reversed hazard rates of two parallel systems comprising of independent gamma components ⋮ Schur properties of convolutions of gamma random variables ⋮ New results on comparisons of parallel systems with heterogeneous gamma components ⋮ Stochastic comparisons on extremes of burr type XII samples associated with Archimedean copula and heterogeneous shape parameters ⋮ On stochastic comparison between aggregate claim amounts ⋮ Stochastic comparisons on sample extremes from independent or dependent gamma samples ⋮ Stochastic comparisons of order statistics and spacings: a review ⋮ Ordering results on extremes of scaled random variables with dependence and proportional hazards ⋮ ORDERING PROPERTIES OF ORDER STATISTICS FROM HETEROGENEOUS POPULATIONS: A REVIEW WITH AN EMPHASIS ON SOME RECENT DEVELOPMENTS ⋮ Mixture representation for order statistics from INID progressive censoring and its applications ⋮ A stochastic inequality for the largest order statistics from heterogeneous gamma variables ⋮ Stochastic comparisons of order statistics in the scale model ⋮ Stochastic Orderings of Order Statistics of Independent Random Variables with Different Scale Parameters ⋮ On Stochastic Comparisons of Largest Order Statistics in the Scale Model ⋮ ON PARALLEL SYSTEMS WITH HETEROGENEOUS GAMMA COMPONENTS

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