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

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
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Mathematics 2020, 8(4), 470; https://doi.org/10.3390/math8040470
Received: 28 February 2020 / Revised: 21 March 2020 / Accepted: 22 March 2020 / Published: 29 March 2020
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. View Full-Text
Keywords: stochastic order; majorization order; Type II half logistic-resilience scale distribution; parallel system; series system stochastic order; majorization order; Type II half logistic-resilience scale distribution; parallel system; series system
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Wang, J.; Yan, R.; Lu, B. Stochastic Comparisons of Parallel and Series Systems with Type II Half Logistic-Resilience Scale Components. Mathematics 2020, 8, 470.

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