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Answer to an open problem on mean residual life ordering of parallel systems under multiple-outlier exponential models

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  • Wang, Jiantian
  • Cheng, Bin

Abstract

In a comprehensive survey on stochastic comparison, Balakrishnan and Zhao (2013) proposed an open problem on mean residual life ordering between two parallel systems under multiple-outlier exponential models. This paper provides an affirmative answer to this open problem.

Suggested Citation

  • Wang, Jiantian & Cheng, Bin, 2017. "Answer to an open problem on mean residual life ordering of parallel systems under multiple-outlier exponential models," Statistics & Probability Letters, Elsevier, vol. 130(C), pages 80-84.
    • Handle: RePEc:eee:stapro:v:130:y:2017:i:c:p:80-84
    DOI: 10.1016/j.spl.2017.07.013
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    References listed on IDEAS

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    1. Kochar, Subhash & Rojo, Javier, 1996. "Some New Results on Stochastic Comparisons of Spacings from Heterogeneous Exponential Distributions," Journal of Multivariate Analysis, Elsevier, vol. 59(2), pages 272-281, November.
    2. Zhao, Peng & Balakrishnan, N., 2009. "Mean residual life order of convolutions of heterogeneous exponential random variables," Journal of Multivariate Analysis, Elsevier, vol. 100(8), pages 1792-1801, September.
    3. Proschan, F. & Sethuraman, J., 1976. "Stochastic comparisons of order statistics from heterogeneous populations, with applications in reliability," Journal of Multivariate Analysis, Elsevier, vol. 6(4), pages 608-616, December.
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