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Stochastic comparisons of parallel systems with exponentiated Weibull components

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  • Fang, Longxiang
  • Zhang, Xinsheng

Abstract

The exponentiated Weibull (EW) distribution is the first generalization of the two-parameter Weibull distribution to accommodate nonmonotone hazard rates, including the bathtub shaped hazard rate. In this paper, we discuss stochastic comparisons of parallel systems with exponentiated Weibull components in terms of the usual stochastic order, dispersive order and the likelihood ratio order. We give some sufficient conditions for stochastic comparisons between lifetimes of parallel systems.

Suggested Citation

  • Fang, Longxiang & Zhang, Xinsheng, 2015. "Stochastic comparisons of parallel systems with exponentiated Weibull components," Statistics & Probability Letters, Elsevier, vol. 97(C), pages 25-31.
    • Handle: RePEc:eee:stapro:v:97:y:2015:i:c:p:25-31
    DOI: 10.1016/j.spl.2014.10.017
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    References listed on IDEAS

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    1. Saralees Nadarajah & Gauss Cordeiro & Edwin Ortega, 2013. "The exponentiated Weibull distribution: a survey," Statistical Papers, Springer, vol. 54(3), pages 839-877, August.
    2. S. Gurler, 2012. "On residual lifetimes in sequential (n − k + 1)-out-of-n systems," Statistical Papers, Springer, vol. 53(1), pages 23-31, February.
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    Cited by:

    1. Amarjit Kundu & Shovan Chowdhury, 2019. "Ordering properties of the largest order statistics from Kumaraswamy-G models under random shocks," Working papers 297, Indian Institute of Management Kozhikode.
    2. Shovan Chowdhury & Amarjit Kundu, 2016. "Stochastic Comparison of Parallel Systems with Finite Range Distributed Components," Working papers 201, Indian Institute of Management Kozhikode.
    3. 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.
    4. Kundu, Amarjit & Chowdhury, Shovan, 2016. "Ordering properties of order statistics from heterogeneous exponentiated Weibull models," Statistics & Probability Letters, Elsevier, vol. 114(C), pages 119-127.

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