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Relative aging of ( n − k + 1) ‐out‐of‐ n systems based on cumulative hazard and cumulative reversed hazard functions
Author(s) -
Misra Neeraj,
Francis Jisha
Publication year - 2018
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/nav.21822
Subject(s) - hazard , hazard ratio , monotonic function , mathematics , cumulative risk , relative risk , statistics , confidence interval , medicine , chemistry , mathematical analysis , organic chemistry
The notion of relative aging describes the rate at which one system ages relative to the other. Di Crescenzo, and Sengupta and Deshpande defined two notions of relative aging based on monotonicity of ratios of cumulative reversed hazard functions and cumulative hazard functions, respectively. In this paper, we discuss the relative aging of ( n − k + 1) ‐out‐of‐ n systems in terms of these notions.