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

Junrui Wang (), Rongfang Yan () and Bin Lu ()
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Junrui Wang: College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
Rongfang Yan: College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
Bin Lu: College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Mathematics, 2020, vol. 8, issue 4, 1-18

Abstract: 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.

Keywords: stochastic order; majorization order; Type II half logistic-resilience scale distribution; parallel system; series system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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