A new stochastic order based upon Laplace transform with applications

DOI10.1016/J.JSPI.2008.12.002zbMath1163.60303OpenAlexW2082286048MaRDI QIDQ1021995

Xiaohu Li, Ping Li, Xiao-liang Ling

Publication date: 9 June 2009

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2008.12.002

zbMATH Keywords

equilibrium distributionfrailty modelsDFRlength-biased distributionrandom extremeshocks model

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Reliability and life testing (62N05)

Related Items (11)

Some results on the relative ordering of two frailty models ⋮ Stochastic properties of a weighted frailty model ⋮ On comparisons of population and subpopulations in frailty models ⋮ Competing between two groups of individuals following frailty models ⋮ Stochastic comparisons of multivariate reversed frailty model ⋮ Shock models based on renewal processes with matrix Mittag-Leffler distributed inter-arrival times ⋮ A new stochastic order based on discrete Laplace transform and some ordering results of the order statistics ⋮ On a system of nonhomogeneous components sharing a common frailty ⋮ The additive hazard mixing models ⋮ Proportional ratios orders based on laplace transforms ⋮ Negative aging and stochastic comparisons of residual lifetimes in multivariate frailty models

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