Nonparametric inference under a monotone hazard ratio order

Wu, Yujian; Westling, Ted

doi:10.1214/23-ejs2173

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Stochastic Orders From Two Samples1

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2023

2024

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Cited by 2 publications

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“…We conclude this section by pointing out that the condition that h Y (x)/h X (x) is increasing in x, given in Corollaries 3 and 4, does define a suitable stochastic order that expresses a concept of relative aging of two probability distributions (see, for instance, Sengupta and Deshpande [27], and Wu and Westling [28], and references therein).…”

Section: Stochastic Orders From Two Samplesmentioning

confidence: 99%

Some New Results on Stochastic Comparisons of Spacings of Generalized Order Statistics from One and Two Samples

Esna-Ashari,

Alimohammadi,

Garousi

et al. 2024

Mathematics

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Generalized order statistics (GOSs) are often adopted as a tool for providing a unified approach to several stochastic models dealing with ordered random variables. In this contribution, we first recall various useful results based on the notion of total positivity. Then, some stochastic comparisons between spacings of GOSs from one sample, as well as two samples, are developed under the more general assumptions on the parameters of the model. Specifically, the given results deal with the likelihood ratio order, the hazard rate order and the mean residual life order. Finally, an application is demonstrated for sequential systems.

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Section: Stochastic Orders From Two Samplesmentioning

confidence: 99%