Stochastic comparisons of series systems with independent heterogeneous Lomax-exponential components

DOI10.1080/15598608.2018.1474819zbMath1419.60020OpenAlexW2804041899WikidataQ115549745 ScholiaQ115549745MaRDI QIDQ2321840

Hamzeh Torabi, Hossein Nadeb

Publication date: 23 August 2019

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15598608.2018.1474819

zbMATH Keywords

stochastic orderingmajorizationseries systemLomax-exponential distribution

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items (5)

Some general results on usual stochastic ordering of the extreme order statistics from dependent random variables under Archimedean copula dependence ⋮ Exponentiated models preserve stochastic orderings of parallel and series systems ⋮ Ordering results on extremes of inverse Kumaraswamy random samples ⋮ Ordering extremes of exponentiated location-scale models with dependent and heterogeneous random samples ⋮ Some ordering results for the Marshall and Olkin's family of distributions

Cites Work

• Unnamed Item
• Ordering properties of order statistics from heterogeneous exponentiated Weibull models
• Likelihood ratio order of parallel systems with heterogeneous Weibull components
• Stochastic comparisons of series systems with heterogeneous Weibull components
• On stochastic comparisons of minimum order statistics from the location-scale family of distributions
• Stochastic orders
• Stochastic comparisons of parallel systems of heterogeneous exponential components
• Stochastic comparisons in systems with Frèchet distributed components
• Stochastic orders in reliability and risk. In honor of Professor Moshe Shaked. Based on the talks presented at the international workshop on stochastic orders in reliability and risk management, SORR2011, Xiamen, China, June 27--29, 2011
• A stochastic inequality for the largest order statistics from heterogeneous gamma variables
• Stochastic comparisons of parallel systems with exponentiated Weibull components
• Likelihood ratio order of sample minimum from heterogeneous Weibull random variables
• On stochastic comparisons of maximum order statistics from the location-scale family of distributions
• Weibull distribution: some stochastic comparisons results
• Comparisons of smallest order statistics from Weibull distributions with different scale and shape parameters
• Stochastic comparisons between extreme order statistics from scale models
• Stochastic Order Relations Among Parallel Systems from Weibull Distributions
• ORDERING PROPERTIES OF ORDER STATISTICS FROM HETEROGENEOUS POPULATIONS: A REVIEW WITH AN EMPHASIS ON SOME RECENT DEVELOPMENTS
• Business Failures: Another Example of the Analysis of Failure Data
• Inequalities: theory of majorization and its applications
• Some results on majorization and their applications

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