Stochastic comparisons of lifetimes of fail-safe systems with dependent and heterogeneous components under random shocks

DOI10.1080/02331888.2023.2203926OpenAlexW4366688188MaRDI QIDQ6168295

Amarjit Kundu, Unnamed Author, Pradip Kundu

Publication date: 10 July 2023

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2023.2203926

zbMATH Keywords

order statisticsstochastic ordermajorizationfail-safe system

Mathematics Subject Classification ID

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

Cites Work

• Dispersive ordering of fail-safe systems with heterogeneous exponential components
• Ordering properties of the smallest order statistics from generalized Birnbaum-Saunders models with associated random shocks
• Stochastic orders
• Stochastic modeling for reliability. Shocks, burn-in and heterogeneous populations
• Some general results on usual stochastic ordering of the extreme order statistics from dependent random variables under Archimedean copula dependence
• Exponentiated distributions
• A bivariate failure time model with random shocks and mixed effects
• Characterization of MRL order of fail-safe systems with heterogeneous exponential components
• On the comparison in hazard rate ordering of fail-safe systems
• Stochastic comparisons on sample extremes of dependent and heterogenous observations
• Improved Ordering Results for Fail-Safe Systems with Exponential Components
• A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families
• Modeling failure time data by lehman alternatives
• Hazard rate ordering of the second-order statistics from multiple-outlier PHR samples
• Inequalities: theory of majorization and its applications
• Some results on majorization and their applications
• Ordering properties of the second smallest and the second largest order statistics from a general semiparametric family of distributions
• Orderings of fail-safe systems with components having Marshall-Olkin-Harris lifetime distributions

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