A note on stochastic ordering of order statistics

DOI10.2307/3215103zbMath0881.62056OpenAlexW2331127964MaRDI QIDQ4364886

Chunsheng Ma

Publication date: 8 February 1998

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3215103

zbMATH Keywords

stochastic orderingPoisson binomial distributionk-out-of-n systemsheterogeneous samplehomogeneous samplecomparisons of order statistics

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Reliability and life testing (62N05)

Related Items (8)

ORDER STATISTICS FROM HETEROGENOUS NEGATIVE BINOMIAL RANDOM VARIABLES ⋮ Comparison of aggregation, minimum and maximum of two risky portfolios with dependent claims ⋮ Competing between two groups of individuals following frailty models ⋮ 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 ⋮ Stochastic comparison of lifetimes of two \((n - k + 1)\)-out-of-\(n\) systems with heterogeneous dependent components ⋮ Stochastic ordering of classical discrete distributions ⋮ On hazard rate ordering of the sums of heterogeneous geometric random variables

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