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Likelihood ratio order of sample minimum from heterogeneous Weibull random variables

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  • Li, Chen
  • Li, Xiaohu

Abstract

For heterogeneous Weibull samples with a common shape parameter and weakly majorized scale parameters, we study the likelihood ratio order and the stochastic order between minimums of independent and dependent samples, respectively. Also, an application in fabric strength is presented.

Suggested Citation

  • Li, Chen & Li, Xiaohu, 2015. "Likelihood ratio order of sample minimum from heterogeneous Weibull random variables," Statistics & Probability Letters, Elsevier, vol. 97(C), pages 46-53.
    • Handle: RePEc:eee:stapro:v:97:y:2015:i:c:p:46-53
    DOI: 10.1016/j.spl.2014.10.019
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    References listed on IDEAS

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    Cited by:

    1. Saralees Nadarajah & Xiao Jiang & Jeffrey Chu, 2017. "Comparisons of smallest order statistics from Pareto distributions with different scale and shape parameters," Annals of Operations Research, Springer, vol. 254(1), pages 191-209, July.
    2. Fang, Longxiang & Zhu, Xiaojun & Balakrishnan, N., 2016. "Stochastic comparisons of parallel and series systems with heterogeneous Birnbaum–Saunders components," Statistics & Probability Letters, Elsevier, vol. 112(C), pages 131-136.
    3. Li, Chen & Li, Xiaohu, 2019. "Hazard rate and reversed hazard rate orders on extremes of heterogeneous and dependent random variables," Statistics & Probability Letters, Elsevier, vol. 146(C), pages 104-111.
    4. 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.
    5. Chen Li & Rui Fang & Xiaohu Li, 2016. "Stochastic somparisons of order statistics from scaled and interdependent random variables," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 79(5), pages 553-578, July.
    6. Longxiang Fang & N. Balakrishnan, 2018. "Ordering properties of the smallest order statistics from generalized Birnbaum–Saunders models with associated random shocks," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 81(1), pages 19-35, January.
    7. Mesfioui Mhamed & Trufin Julien, 2021. "Dispersive order comparisons on extreme order statistics from homogeneous dependent random vectors," Dependence Modeling, De Gruyter, vol. 9(1), pages 385-393, January.

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