Conditional Ordering ofk-out-of-nSystems with Independent But Nonidentical Components

DOI10.1239/jap/1231340237zbMath1155.60309OpenAlexW2004739135MaRDI QIDQ5504165

Xiaohu Li, Peng Zhao, Narayanaswamy Balakrishnan

Publication date: 21 January 2009

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1231340237

zbMATH Keywords

stochastic orderlikelihood ratio orderresidual lifehazard rate orderinactivity timereversed hazard rate order

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Reliability, availability, maintenance, inspection in operations research (90B25) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items (28)

MONOTONICITY PROPERTIES OF RESIDUAL LIFETIMES OF PARALLEL SYSTEMS AND INACTIVITY TIMES OF SERIES SYSTEMS WITH HETEROGENEOUS COMPONENTS ⋮ On inactivity times of failed components of coherent system under double monitoring ⋮ STOCHASTIC COMPARISONS OF LARGEST ORDER STATISTICS FROM MULTIPLE-OUTLIER EXPONENTIAL MODELS ⋮ ON RESIDUAL LIFETIMES OF k-OUT-OF-n SYSTEMS WITH NONIDENTICAL COMPONENTS ⋮ On reliability analysis of consecutive \(k\)-out-of-\(n\) systems with arbitrarily dependent components. ⋮ Stochastic orderings of convolution residuals ⋮ Reliability function of k-out-of-n system equipped with two cold standby components ⋮ MRL ordering of parallel systems with two heterogeneous components ⋮ On sample ranges from two sets of heterogenous random variables ⋮ New results on comparisons of parallel systems with heterogeneous gamma components ⋮ On \(k\)-out-of-\(n\) systems with homogeneous components and one independent cold standby redundancy ⋮ On a mixture representation of the conditional inactivity time of a coherent system ⋮ Consecutive \(k\)-within-\(m\)-out-of-\(n\):F system with nonidentical components ⋮ Stochastic comparisons on conditional residual lifetime and inactivity time of coherent systems with exchangeable components ⋮ LIKELIHOOD RATIO AND HAZARD RATE ORDERINGS OF THE MAXIMA IN TWO MULTIPLE-OUTLIER GEOMETRIC SAMPLES ⋮ Stochastic ordering properties for systems with dependent identically distributed components ⋮ Stochastic comparison of lifetimes of two \((n - k + 1)\)-out-of-\(n\) systems with heterogeneous dependent components ⋮ UNIVARIATE AND MULTIVARIATE LIKELIHOOD RATIO ORDERING OF GENERALIZED ORDER STATISTICS AND ASSOCIATED CONDITIONAL VARIABLES ⋮ A stochastic inequality for the largest order statistics from heterogeneous gamma variables ⋮ Dynamic behavior of \(k\)-out-of-\(n\):G systems ⋮ Some conditional reliability properties of \(k\)-out-of-\(n\) system composed of different types of components with discrete independent lifetimes ⋮ REVISITING MULTIVARIATE LIKELIHOOD RATIO ORDERING RESULTS FOR ORDER STATISTICS ⋮ ON PARALLEL SYSTEMS WITH HETEROGENEOUS GAMMA COMPONENTS ⋮ Conditionalk-out-of-nsystems with a cold standby component ⋮ Some characterization results for parallel systems with two heterogeneous exponential components ⋮ Stochastic Comparison of Residual and Past Lifetimes of (n − k + 1)-Out-of-nSystems with Dependent Components ⋮ Multivariate Comparisons of Ordered Data ⋮ Further results for parallel systems with two heterogeneous exponential components

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ordering conditional lifetimes of coherent systems
• Characterization of nonparametric classes of life distributions
• On likelihood-ratio ordering of order statistics
• Stochastic comparisons of order statisctics from two samples
• The hazard rate and the reversed hazard rate orders, with applications to order statistics
• Permanents, order statistics, outliers, and robustness
• On the mean past lifetime of the components of a parallel system
• Bayesian inference based on partial monitoring of components with applications to preventive system maintenance
• On the behaviour of some new ageing properties based upon the residual life of k-out-of-n systems
• Mean Past and Mean Residual Life Functions of a Parallel System with Nonidentical Components
• CONDITIONAL ORDERING OF GENERALIZED ORDER STATISTICS REVISITED
• Stochastic Comparison on General Inactivity Time and General Residual Life ofk-Out-of-nSystems
• Estimation of the lifetime distribution of the parts from the autopsy statistics of the machine
• The Posterior Distribution of the Parameters of Component Lifetimes Based on Autopsy Data in a Shock Model
• Order Statistics
• Aging properties of the residual life length ofk-out-of-n systems with independent but non-identical components
• A Note on the Mean Residual Life Function of a Parallel System
• ON AGING PROPERTIES BASED ON THE RESIDUAL LIFE OF k-OUT-OF-n SYSTEMS
• ORDERING CONDITIONAL DISTRIBUTIONS OF GENERALIZED ORDER STATISTICS
• Stochastic Comparisons and Dependence of Spacings from Two Samples of Exponential Random Variables
• Preservation of some likelihood ratio stochastic orders by order statistics

This page was built for publication: Conditional Ordering ofk-out-of-nSystems with Independent But Nonidentical Components