Some new results on stochastic comparisons of parallel systems
From MaRDI portal
Publication:2725308
DOI10.1239/jap/1014843091zbMath0995.62104OpenAlexW1992180097MaRDI QIDQ2725308
Baha-Eldin Khaledi, Subhash C. Kochar
Publication date: 21 October 2002
Published in: Journal of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1239/jap/1014843091
Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Reliability and life testing (62N05)
Related Items (71)
Stochastic comparisons of parallel and series systems with heterogeneous Birnbaum-Saunders components ⋮ Ordering results of second order statistics from random and non-random number of random variables with Archimedean copulas ⋮ Stochastic comparisons of order statistics from scaled and interdependent random variables ⋮ STOCHASTIC ORDERING OF LIFETIMES OF PARALLEL AND SERIES SYSTEMS COMPRISING HETEROGENEOUS DEPENDENT COMPONENTS WITH GENERALIZED BIRNBAUM-SAUNDERS DISTRIBUTIONS ⋮ Stochastic comparison of parallel systems with Pareto components ⋮ ON STOCHASTIC COMPARISONS OF ORDER STATISTICS FROM HETEROGENEOUS EXPONENTIAL SAMPLES ⋮ Likelihood ratio order of parallel systems with heterogeneous Weibull components ⋮ CHARACTERIZATION ORDERING RESULTS FOR LARGEST ORDER STATISTICS FROM HETEROGENEOUS AND HOMOGENEOUS EXPONENTIATED GENERALIZED GAMMA VARIABLES ⋮ Stochastic comparisons of series and parallel systems with dependent and heterogeneous Topp-Leone generated components ⋮ Dispersive ordering-some applications and examples ⋮ Exponentiated models preserve stochastic orderings of parallel and series systems ⋮ Ordering properties of largest order statistics from independent and heterogeneous Dagum populations ⋮ Comparisons between parallel systems with exponentiated generalized gamma components ⋮ Comparisons of series and parallel systems with heterogeneous exponentiated geometric components ⋮ Comparisons of Parallel Systems According to the Convex Transform Order ⋮ Answer to an open problem on mean residual life ordering of parallel systems under multiple-outlier exponential models ⋮ Stochastic comparisons of series systems with heterogeneous Weibull components ⋮ On ordering parallel systems with two components having Marshall/Olkin-type lifetime distribution ⋮ Comparing lifetimes of series and parallel systems with heterogeneous Fréchet components ⋮ Stochastic comparisons of order statistics from heterogeneous random variables with Archimedean copula ⋮ Stochastic comparisons of series and parallel systems with dependent heterogeneous extended exponential components under Archimedean copula ⋮ Stochastic comparisons on sample extremes of dependent and heterogenous observations ⋮ Likelihood ratio ordering for parallel systems with exponential components ⋮ Ordering results on extremes of inverse Kumaraswamy random samples ⋮ Stochastic comparisons of series and parallel systems with dependent log-logistic components ⋮ Ordering results on largest order statistics from multiple-outlier gamma variables ⋮ A stochastic comparison result about hazard rate ordering of two parallel systems comprising of geometric components ⋮ On the comparison in hazard rate ordering of fail-safe systems ⋮ New results on stochastic comparisons of two-component series and parallel systems ⋮ Ordering and aging properties of systems with dependent components governed by the Archimedean copula ⋮ Stochastic comparisons of order statistics and spacings: a review ⋮ Asymptotic reliability theory of \(k\)-out-of-\(n\) systems ⋮ Stochastic comparisons of parallel and series systems with heterogeneous resilience-scaled components ⋮ On the Lorenz ordering of order statistics from exponential populations and some applications ⋮ Unnamed Item ⋮ On the skewness of order statistics with applications ⋮ Ordering of series and parallel systems comprising heterogeneous generalized modified Weibull components ⋮ Ordering properties of order statistics from random variables of Archimedean copulas with applications ⋮ Ordering results on extremes of scaled random variables with dependence and proportional hazards ⋮ ORDERING PROPERTIES OF ORDER STATISTICS FROM HETEROGENEOUS POPULATIONS: A REVIEW WITH AN EMPHASIS ON SOME RECENT DEVELOPMENTS ⋮ A comprehensive result on stochastic comparison for parallel systems in terms of hazard rate order ⋮ EQUIVALENT CHARACTERIZATIONS ON ORDERINGS OF ORDER STATISTICS AND SAMPLE RANGES ⋮ On likelihood ratio ordering of parallel systems with heterogeneous exponential components ⋮ Ordering properties of the smallest order statistics from generalized Birnbaum-Saunders models with associated random shocks ⋮ Stochastic Orderings and Ageing Properties of Residual Life Lengths of Live Components in (n-k+1)-Out-Of-n Systems ⋮ On hazard rate ordering of parallel systems with two independent components ⋮ On the right spread ordering of series systems with two heterogeneous Weibull components ⋮ Stochastic comparisons of order statistics from gamma distributions ⋮ Dispersive order of lifetimes of series systems in multiple-outlier Weibull models ⋮ Stochastic comparisons of order statistics in the scale model ⋮ STOCHASTIC COMPARISONS OF PARALLEL SYSTEMS WHEN COMPONENTS HAVE PROPORTIONAL HAZARD RATES ⋮ Stochastic Orderings of Order Statistics of Independent Random Variables with Different Scale Parameters ⋮ Weibull distribution: some stochastic comparisons results ⋮ Bounds for mixtures of order statistics from exponentials and applications ⋮ On stochastic comparisons of k-out-of-n systems with Weibull components ⋮ Univariate and multivariate stochastic comparisons and ageing properties of the generalized Pólya process ⋮ Hazard rate ordering of the largest order statistics from geometric random variables ⋮ On Stochastic Comparisons of Largest Order Statistics in the Scale Model ⋮ Stochastic comparisons and multivariate dependence for the epoch times of trend renewal processes ⋮ Convex transform order of the maximum of independent Weibull random variables ⋮ Likelihood ratio order of the second order statistic from independent heterogeneous exponential random variables ⋮ Comparison of order statistics in a random sequence to the same statistics with i.i.d. variables ⋮ New results on stochastic comparison of order statistics from heterogeneous Weibull populations ⋮ Reliability study of series and parallel systems of heterogeneous component lifetimes following proportional odds model ⋮ Dispersive order comparisons on extreme order statistics from homogeneous dependent random vectors ⋮ On the range of heterogeneous samples ⋮ Comparisons of order statistics from heterogeneous negative binomial variables with applications ⋮ Some properties of hazard rate functions of systems with two components ⋮ SOME NEW APPLICATIONS OF P–P PLOTS ⋮ Failure rate properties of parallel systems ⋮ Stochastic comparisons of parallel systems with exponentiated Weibull components
This page was built for publication: Some new results on stochastic comparisons of parallel systems