Stochastic Orderings of Order Statistics of Independent Random Variables with Different Scale Parameters

DOI10.1080/03610920601077212zbMath1119.60013OpenAlexW2158836115MaRDI QIDQ3593564

Baha-Eldin Khaledi, Subhash C. Kochar

Publication date: 23 July 2007

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

Full work available at URL: https://doi.org/10.1080/03610920601077212

zbMATH Keywords

Schur functionsmajorizationhazard rate ordering\(p\)-larger orderingproportional hazards family

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Reliability, availability, maintenance, inspection in operations research (90B25) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items (5)

On comparison of reversed hazard rates of two parallel systems comprising of independent gamma components ⋮ Characterizations by Power Contractions of Order Statistics ⋮ On maximum order statistics from heterogeneous geometric variables ⋮ A stochastic inequality for the largest order statistics from heterogeneous gamma variables ⋮ On Stochastic Comparisons of Largest Order Statistics in the Scale Model

Cites Work

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• Stochastic comparisons of order statistics from gamma distributions
• Stochastic comparisons of order statistics from heterogeneous populations, with applications in reliability
• Ordering properties of convolutions of exponential random variables
• Stochastic comparisons of parallel systems of heterogeneous exponential components
• Some new results on stochastic comparisons of parallel systems
• ON PARTIAL ORDERINGS BETWEEN COHERENT SYSTEMS WITH DIFFERENT STRUCTURES
• Applications of the hazard rate ordering in reliability and order statistics
• Inequalities: theory of majorization and its applications

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