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Stochastic comparisons of series, parallel and k-out-of-n systems with heterogeneous bathtub failure rate type components

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  • Bhattacharyya, Dhrubasish
  • Khan, Ruhul Ali
  • Mitra, Murari

Abstract

In this paper, we explore stochastic comparisons of order statistics arising from a two parameter distribution with bathtub shaped failure rate. We obtain detailed results in the contexts of the usual stochastic order, the hazard rate order, the reversed hazard rate order and the likelihood ratio order for series, parallel and k-out-of-n systems. Results involving multivariate chain majorization are also established.

Suggested Citation

  • Bhattacharyya, Dhrubasish & Khan, Ruhul Ali & Mitra, Murari, 2020. "Stochastic comparisons of series, parallel and k-out-of-n systems with heterogeneous bathtub failure rate type components," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
  • Handle: RePEc:eee:phsmap:v:540:y:2020:i:c:s0378437119317613
    DOI: 10.1016/j.physa.2019.123124
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    References listed on IDEAS

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    1. Thierry Warin & Daniel Leiter, 2012. "Homogenous goods markets: an empirical study of price dispersion on the internet," International Journal of Economics and Business Research, Inderscience Enterprises Ltd, vol. 4(5), pages 514-529.
    2. Zhao, Peng & Balakrishnan, N., 2011. "New results on comparisons of parallel systems with heterogeneous gamma components," Statistics & Probability Letters, Elsevier, vol. 81(1), pages 36-44, January.
    3. Chen, Zhenmin, 2000. "A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function," Statistics & Probability Letters, Elsevier, vol. 49(2), pages 155-161, August.
    4. Misra, Neeraj & Misra, Amit Kumar, 2013. "On comparison of reversed hazard rates of two parallel systems comprising of independent gamma components," Statistics & Probability Letters, Elsevier, vol. 83(6), pages 1567-1570.
    5. Zhao, Peng & Li, Xiaohu & Balakrishnan, N., 2009. "Likelihood ratio order of the second order statistic from independent heterogeneous exponential random variables," Journal of Multivariate Analysis, Elsevier, vol. 100(5), pages 952-962, May.
    6. 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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    Cited by:

    1. Zhang, Yiying, 2021. "Reliability Analysis of Randomly Weighted k-out-of-n Systems with Heterogeneous Components," Reliability Engineering and System Safety, Elsevier, vol. 205(C).

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