On stochastic comparisons and ageing properties of multivariate proportional hazard rate mixtures

Badía, F. G.; Lee, Hyunju

doi:10.1007/s00184-019-00730-9

Cited by 7 publications

(1 citation statement)

References 23 publications

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“…The study of reliability properties of various mixture models has recently received much attention in the literature. When a mixture model is fitted to survival data, the mixing operation can change the pattern of aging for the lifetime unit under consideration in some favorite way (see, for example, Finkelstein and Esaulova [6], Alves and Dias [7], Arbel et al [8], Cole and Bauer [9], Bordes and Chauveau [10], Li and Liu [11], Amini-Seresht and Zhang [12], Misra and Naqvi [13] and Badía and Lee [14]).…”

Section: Introductionmentioning

confidence: 99%

Stochastic Comparisons of Weighted Distributions and Their Mixtures

Al-Babtain

Shrahili

Alshehri

et al. 2020

Entropy

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In this paper, various stochastic ordering properties of a parametric family of weighted distributions and the associated mixture model are developed. The effect of stochastic variation of the output random variable with respect to the parameter and/or the underlying random variable is specifically investigated. Special weighted distributions are considered to scrutinize the consistency as well as the usefulness of the results. Stochastic comparisons of coherent systems made of identical but dependent components are made and also a result for comparison of Shannon entropies of weighted distributions is developed.

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