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Likelihood ratio and dispersive orders for smallest order statistics and smallest claim amounts from heterogeneous Weibull sample

Author

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  • Barmalzan, Ghobad
  • Payandeh Najafabadi, Amir T.
  • Balakrishnan, Narayanaswamy

Abstract

In this paper, we discuss likelihood ratio order between the smallest claim amounts from two sets of independent heterogeneous Weibull claims. We also establish dispersive order between the smallest order statistics from two independent heterogeneous Weibull samples. The results established here complete and extend the results of Li and Li (2014).

Suggested Citation

  • Barmalzan, Ghobad & Payandeh Najafabadi, Amir T. & Balakrishnan, Narayanaswamy, 2016. "Likelihood ratio and dispersive orders for smallest order statistics and smallest claim amounts from heterogeneous Weibull sample," Statistics & Probability Letters, Elsevier, vol. 110(C), pages 1-7.
    • Handle: RePEc:eee:stapro:v:110:y:2016:i:c:p:1-7
    DOI: 10.1016/j.spl.2015.11.009
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    References listed on IDEAS

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    1. Jongwoo Jeon & Subhash Kochar & Chul Park, 2006. "Dispersive ordering—Some applications and examples," Statistical Papers, Springer, vol. 47(2), pages 227-247, March.
    2. Fang, Longxiang & Zhang, Xinsheng, 2013. "Stochastic comparisons of series systems with heterogeneous Weibull components," Statistics & Probability Letters, Elsevier, vol. 83(7), pages 1649-1653.
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    Cited by:

    1. Sangita Das & Suchandan Kayal, 2021. "Ordering results between the largest claims arising from two general heterogeneous portfolios," Papers 2104.08605, arXiv.org.
    2. Sangita Das & Suchandan Kayal & N. Balakrishnan, 2021. "Orderings of the Smallest Claim Amounts from Exponentiated Location-Scale Models," Methodology and Computing in Applied Probability, Springer, vol. 23(3), pages 971-999, September.
    3. Hossein Nadeb & Hamzeh Torabi & Ali Dolati, 2018. "Stochastic comparisons of the largest claim amounts from two sets of interdependent heterogeneous portfolios," Papers 1812.08343, arXiv.org.
    4. Hossein Nadeb & Hamzeh Torabi & Ali Dolati, 2018. "Ordering the smallest claim amounts from two sets of interdependent heterogeneous portfolios," Papers 1812.06166, arXiv.org.

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