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Likelihood ratio order of parallel systems with heterogeneous Weibull components

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Listed:
  • Longxiang Fang

    (Anhui Normal University)

  • N. Balakrishnan

    (McMaster University)

Abstract

In this paper, we compare the largest order statistics arising from independent heterogeneous Weibull random variables based on the likelihood ratio order. Let $$X_{1},\ldots ,X_{n}$$ X 1 , … , X n be independent Weibull random variables with $$X_{i}$$ X i having shape parameter $$0

Suggested Citation

  • Longxiang Fang & N. Balakrishnan, 2016. "Likelihood ratio order of parallel systems with heterogeneous Weibull components," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 79(6), pages 693-703, August.
    • Handle: RePEc:spr:metrik:v:79:y:2016:i:6:d:10.1007_s00184-015-0573-5
    DOI: 10.1007/s00184-015-0573-5
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    References listed on IDEAS

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    1. Kochar, Subhash & Ma, Chunsheng, 1999. "Dispersive ordering of convolutions of exponential random variables," Statistics & Probability Letters, Elsevier, vol. 43(3), pages 321-324, July.
    2. Rojo, Javier & He, Guo Zhong, 1991. "New properties and characterizations of the dispersive ordering," Statistics & Probability Letters, Elsevier, vol. 11(4), pages 365-372, April.
    3. Zhao, Peng & Balakrishnan, N., 2014. "A stochastic inequality for the largest order statistics from heterogeneous gamma variables," Journal of Multivariate Analysis, Elsevier, vol. 129(C), pages 145-150.
    4. 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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