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

Author

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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)

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.

Suggested Citation

  • Junrui Wang & Rongfang Yan & Bin Lu, 2020. "Stochastic Comparisons of Parallel and Series Systems with Type II Half Logistic-Resilience Scale Components," Mathematics, MDPI, vol. 8(4), pages 1-18, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:470-:d:338387
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    References listed on IDEAS

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