Stochastic Comparisons of Parallel and Series Systems with Type II Half Logistic-Resilience Scale Components

Stochastic Comparisons of Parallel and Series Systems with Type II Half Logistic-Resilience Scale Components

This paper deals with stochastic comparisons of two parallel (series) systems with Type II half logistic-resilience scale (TIIHL-RS) distribution components with different baseline distribution functions. Under the conditions of interdependency and independency, the research shows that the system pe...

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Bibliographic Details
Main Authors: Junrui Wang, Rongfang Yan, Bin Lu
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Mathematics
Subjects:
stochastic order
majorization order
Type II half logistic-resilience scale distribution
parallel system
series system
Online Access:https://www.mdpi.com/2227-7390/8/4/470
Description
Summary:This paper deals with stochastic comparisons of two parallel (series) systems with Type II half logistic-resilience scale (TIIHL-RS) distribution components with different baseline distribution functions. Under the conditions of interdependency and independency, the research shows that the system performance is better (worse) with the stronger component heterogeneity in the parallel (series) system under the usual stochastic order and the (reversed) hazard rate order.
ISSN:2227-7390

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