Ordering properties of the smallest order statistics from generalized Birnbaum-Saunders models with associated random shocks

DOI10.1007/s00184-017-0632-1zbMath1394.62013OpenAlexW2766781321MaRDI QIDQ683864

Longxiang Fang, Narayanaswamy Balakrishnan

Publication date: 9 February 2018

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00184-017-0632-1

zbMATH Keywords

stochastic ordergeneralized Birnbaum-Saunders distributionBirnbaum-Saunders distributionchain majorizationlogistic Birnbaum-Saunders distributionrandom shocksmallest order statistic

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30) Reliability and life testing (62N05)

Related Items (14)

STOCHASTIC ORDERING OF LIFETIMES OF PARALLEL AND SERIES SYSTEMS COMPRISING HETEROGENEOUS DEPENDENT COMPONENTS WITH GENERALIZED BIRNBAUM-SAUNDERS DISTRIBUTIONS ⋮ Ordering properties of the largest order statistics from Kumaraswamy-G models under random shocks ⋮ Stochastic comparisons of lifetimes of series and parallel systems with dependent and heterogeneous components ⋮ Ordering results on extremes of inverse Kumaraswamy random samples ⋮ Ordering results for the smallest (largest) and the second smallest (second largest) order statistics of dependent and heterogeneous random variables ⋮ Ordering properties of the smallest order statistic from Weibull-G random variables ⋮ Stochastic comparisons of lifetimes of fail-safe systems with dependent and heterogeneous components under random shocks ⋮ Ordering results of the smallest order statistics from independent heterogeneous new modified generalized linear failure rate random variables ⋮ Unnamed Item ⋮ A general multivariate new better than used (MNBU) distribution and its properties ⋮ Birnbaum‐Saunders distribution: A review of models, analysis, and applications ⋮ Discussion of “Birnbaum‐Saunders distribution: A review of models, analysis and applications” ⋮ Authors' Rejoinder ⋮ On comparison of two parallel systems having Log–Lindley distributed components

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