Stochastic Comparisons of Largest-Order Statistics and Ranges from Marshall–Olkin Bivariate Exponential and Independent Exponential Variables

Autor:	Narayanaswamy Balakrishnan, Ghobad Saadat Kia (Barmalzan), Mohammad Mehrpooya
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	usual stochastic order mean residual life order reversed hazard rate order parallel systems sample ranges majorization orders Mathematics QA1-939
Zdroj:	Symmetry, Vol 15, Iss 9, p 1796 (2023)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym15091796
Popis:	Sample range and the associated functions such as survival function and mean residual life function have found many important applications in the reliability field. In this work, we establish some results that are in two different directions. In the first part, we establish some conditions for comparing the largest-order statistics (in the sense of mean residual life order) arising from bivariate Marshall–Olkin exponential distribution. Then, in the second part, we present some sufficient conditions for comparing sample ranges (in the sense of usual stochastic order and reversed hazard rate order) arising from independent exponential random variables.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e10f1480c809479a896491ea19cd06f2 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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