Analysis of Order Statistics from Distributions with Regularly Varying Tails

DOI10.1080/03610926.2012.683126zbMath1311.60026OpenAlexW2040396760MaRDI QIDQ2921825

Maochao Xu, Yongling Li, Yu Huang

Publication date: 14 October 2014

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2012.683126

zbMATH Keywords

order statisticsregular variationLorenz ordercoherent systemsincreasing and convex (concave) order

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Cites Work

• Mean residual life functions of finite mixtures, order statistics and coherent systems
• Stochastic orders
• A pure-tail ordering based on the ratio of the quantile functions
• Lorenz ordering of order statistics from log-logistic and related distributions
• On the preservation of some pure-tail orderings by reliability operations
• Variability ordering of heavy-tailed distributions with applications to order statistics
• Permanents, order statistics, outliers, and robustness
• Tail hazard rate ordering properties of order statistics and coherent systems
• EQUIVALENT CHARACTERIZATIONS ON ORDERINGS OF ORDER STATISTICS AND SAMPLE RANGES
• Order Statistics
• Initial and final behaviour of failure rate functions for mixtures and systems
• Comparisons of Parallel Systems According to the Convex Transform Order
• Heavy-Tail Phenomena

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