Stochastic comparisons of parallel and series systems with heterogeneous Birnbaum-Saunders components

DOI10.1016/j.spl.2016.01.021zbMath1338.60051OpenAlexW2266683468MaRDI QIDQ273796

Longxiang Fang, Xiaojun Zhu, Narayanaswamy Balakrishnan

Publication date: 22 April 2016

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2016.01.021

zbMATH Keywords

majorizationusual stochastic orderBirnbaum-Saunders distributionlog Birnbaum-Saunders distributionparallel systemsseries systems

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Sampling theory, sample surveys (62D05) Order statistics; empirical distribution functions (62G30) Reliability and life testing (62N05)

Related Items (7)

STOCHASTIC ORDERING OF LIFETIMES OF PARALLEL AND SERIES SYSTEMS COMPRISING HETEROGENEOUS DEPENDENT COMPONENTS WITH GENERALIZED BIRNBAUM-SAUNDERS DISTRIBUTIONS ⋮ Ordering of series and parallel systems comprising heterogeneous generalized modified Weibull components ⋮ Stochastic ordering of minima and maxima from heterogeneous bivariate Birnbaum–Saunders random vectors ⋮ Ordering properties of the smallest order statistics from generalized Birnbaum-Saunders models with associated random shocks ⋮ Birnbaum‐Saunders distribution: A review of models, analysis, and applications ⋮ Discussion of “Birnbaum‐Saunders distribution: A review of models, analysis and applications” ⋮ Authors' Rejoinder

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