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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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
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spelling doaj-b3a5727e3bf84f2598b5e1e4c7a6d3e12020-11-25T02:23:05ZengMDPI AGMathematics2227-73902020-03-01847047010.3390/math8040470Stochastic Comparisons of Parallel and Series Systems with Type II Half Logistic-Resilience Scale ComponentsJunrui Wang0Rongfang Yan1Bin Lu2College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, ChinaCollege of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, ChinaCollege of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, ChinaThis 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.https://www.mdpi.com/2227-7390/8/4/470stochastic ordermajorization orderType II half logistic-resilience scale distributionparallel systemseries system
collection DOAJ
language English
format Article
sources DOAJ
author Junrui Wang
Rongfang Yan
Bin Lu
spellingShingle Junrui Wang
Rongfang Yan
Bin Lu
Stochastic Comparisons of Parallel and Series Systems with Type II Half Logistic-Resilience Scale Components
Mathematics
stochastic order
majorization order
Type II half logistic-resilience scale distribution
parallel system
series system
author_facet Junrui Wang
Rongfang Yan
Bin Lu
author_sort Junrui Wang
title Stochastic Comparisons of Parallel and Series Systems with Type II Half Logistic-Resilience Scale Components
title_short Stochastic Comparisons of Parallel and Series Systems with Type II Half Logistic-Resilience Scale Components
title_full Stochastic Comparisons of Parallel and Series Systems with Type II Half Logistic-Resilience Scale Components
title_fullStr Stochastic Comparisons of Parallel and Series Systems with Type II Half Logistic-Resilience Scale Components
title_full_unstemmed Stochastic Comparisons of Parallel and Series Systems with Type II Half Logistic-Resilience Scale Components
title_sort stochastic comparisons of parallel and series systems with type ii half logistic-resilience scale components
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-03-01
description 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.
topic stochastic order
majorization order
Type II half logistic-resilience scale distribution
parallel system
series system
url https://www.mdpi.com/2227-7390/8/4/470
work_keys_str_mv AT junruiwang stochasticcomparisonsofparallelandseriessystemswithtypeiihalflogisticresiliencescalecomponents
AT rongfangyan stochasticcomparisonsofparallelandseriessystemswithtypeiihalflogisticresiliencescalecomponents
AT binlu stochasticcomparisonsofparallelandseriessystemswithtypeiihalflogisticresiliencescalecomponents
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