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On relative aging comparisons of coherent systems with identically distributed components
Nil Kamal Hazra,Neeraj Misra +1 more
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In this article, sufficient conditions under which one coherent system ages faster than another one with respect to the aforementioned stochastic orders are given. And the proposed sufficient conditions are satisfied for k-out-of-n systems.Abstract:
The relative aging is an important notion which is useful to measure how a system ages relative to another one. Among the existing stochastic orders, there are two important orders describing the relative aging of two systems, namely, aging faster orders in the cumulative hazard and the cumulative reversed hazard rate functions. In this paper, we give some sufficient conditions under which one coherent system ages faster than another one with respect to the aforementioned stochastic orders. Further, we show that the proposed sufficient conditions are satisfied for k-out-of-n systems. Moreover, some numerical examples are given to illustrate the applications of proposed results.read more
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Stochastic Ageing and Dependence for Reliability
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Ordering and aging properties of systems with dependent components governed by the Archimedean copula
Tanmay Sahoo,Nil Kamal Hazra +1 more
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Stochastic Comparisons of General Proportional Mean Past Lifetime Frailty Model
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Ordering results of second order statistics from random and non-random number of random variables with Archimedean copulas
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References
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Journal ArticleDOI
Orderings of coherent systems with randomized dependent components
TL;DR: This study provides sufficient conditions on the component’s lifetimes and on the random numbers of components chosen from the two stocks in order to improve the reliability of the whole system according to different stochastic orders.
Journal ArticleDOI
On partial orderings between coherent systems with different structures
TL;DR: In this paper, the preservation of orderings between the components under the formation of coherent systems with different structures was studied, and the stochastic, failure rate, reversed failure rate and likelihood ratio orderings were compared.
Journal ArticleDOI
Dispersive ordering and monotone failure rate distributions
TL;DR: In this paper, the authors present connections between the dispersive ordering and monotone failure rate distributions, and show that it has a strong correlation with the failure rate of distributions.
Journal ArticleDOI
Relationship Between System Failure Rate and Component Failure Rates
James D. Esary,Frank Proschan +1 more
TL;DR: In this article, a simple sufficient condition is given for a system to have an increasing failure rate when the identical components comprising it have an increased failure rate, and upper and lower bounds on failure rate are obtained in terms of component failure rates.
Journal ArticleDOI
Comparisons of coherent systems using stochastic precedence
Jorge Navarro,Rafael Rubio +1 more
TL;DR: In this article, it was shown that if the components in both systems are independent and satisfy the Cox proportional hazard rate (PHR) model, then these comparisons do not depend on the baseline hazard rate function.
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