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Some new results on stochastic comparisons of parallel systems
Let X 1,…,X n be independent exponential random variables with X i having hazard rate . Let Y 1,…,Y n be a random sample of size n from an exponential distribution with common hazard rate ̃λ = (∏ i=1Expand
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Stochastic comparisons of parallel systems of heterogeneous exponential components
Abstract Let X1, …, Xn be independent exponential random variables with Xi having hazard rate λi, i = 1, …, n. Let λ = (λ1, …, λn). Let Y1, …, Yn be a random sample of size n from an exponentialExpand
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The signature of a coherent system and its application to comparisons among systems
Various methods and criteria for comparing coherent systems are discussed. Theoretical results are derived for comparing systems of a given order when components are assumed to have independent andExpand
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Some New Results on Stochastic Comparisons of Spacings from Heterogeneous Exponential Distributions
Some new results are obtained on stochastic orderings between random vectors of spacings from heterogeneous exponential distributions and homogeneous ones. LetD1, ?, Dnbe the normalized spacingsExpand
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Stochastic comparisons of order statistics in the scale model
Abstract Independent random variables X λ 1 , … , X λ n are said to belong to the scale family of distributions if X λ i ∼ F ( λ i x ) , for i=1,…,n, where F is an absolutely continuous distributionExpand
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Partial orderings of distributions based on right-spread functions
In this paper we introduce a quantile dispersion measure. We use it to characterize different classes of ageing distributions. Based on the quantile dispersion measure, we propose a new partialExpand
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Weibull distribution: Some stochastic comparisons results
Abstract Let X 1 , … , X n be independent random variables such that X i has Weibull distribution with shape parameter α and scale parameter λ i , i = 1 , … , n . Let X 1 * , … , X n * be another setExpand
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The total time on test transform and the excess wealth stochastic orders of distributions
For nonnegative random variables X and Y we write X ≤TTT Y if ∫0 F -1(p)(1-F(x))dx ≤ ∫0 G -1(p)(1-G(x))dx all p ∈ (0,1), where F and G denote the distribution functions of X and Y respectively. TheExpand
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Stochastic Orders for Spacings of Heterogeneous Exponential Random Variables
We obtain some new results on normalized spacings of independent exponential random variables with possibly different scale parameters. It is shown that the density functions of the individualExpand
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Aspects of positive ageing
On decrit plusieurs aspects du concept de vieillissement positif en termes de lois de probabilite conditionnelle des durees de vie residuelles, des taux de panne, des lois d'equilibre etc...
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