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Dispersive order of lifetimes of series systems in multiple-outlier Weibull models

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Abstract

This paper considers the multiple-outlier Weibull model, and derives some sufficient conditions for the comparison of lifetimes of series systems with respect to dispersive order. In these models, order statistic is closed under minima, so convex transform, star and Lorenz orders are not investigated because they are scale variant. The results established here strengthen some of the results presented by Fang and Tang (2014).

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Acknowledgments

This work is studied while FANG Longxiang is visiting the Department of Mathematics and Statistics, McMaster University, Canada, and he is grateful to Anhui Normal University for providing the financial support for this visit.

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Authors and Affiliations

  1. Department of Statistics, Anhui Normal University, Wuhu, 241000, China

    Longxiang Fang

  2. Department of Statistics, Zabol University, Sistan and Baluchestan, Iran

    Ghobad Barmalzan

  3. Department of Finance Economic Trade, Anhui Business College, Wuhu, 241002, China

    Jie Ling

Authors
  1. Longxiang Fang
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  2. Ghobad Barmalzan
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  3. Jie Ling
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Corresponding author

Correspondence to Longxiang Fang.

Additional information

This research was supported by the Provincial Natural Science Research Project of Anhui Colleges under Grant No. KJ2016A263, the National Natural Science Foundation of Anhui Province under Grant Nos. 1408085MA07, 1608085J07, and the PhD Research Startup Foundation of Anhui Normal University under Grant No. 2014bsqdjj34.

This paper was recommended for publication by Editor SHI Jianjun.

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Fang, L., Barmalzan, G. & Ling, J. Dispersive order of lifetimes of series systems in multiple-outlier Weibull models. J Syst Sci Complex 29, 1693–1702 (2016). https://doi.org/10.1007/s11424-016-5068-6

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  • DOI: https://doi.org/10.1007/s11424-016-5068-6

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