Abstract
In terms of stochastic orders, the purpose of this paper is to show how the random environment can affect the number of working components of a system with heterogeneous components sharing a common random environment. Applications to a class of semiparametric mixture models, stress-strength model and warm standby system are presented.
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Acknowledgments
This work was supported by the Scientific Research Foundation of Hebei University of Science and Technology (XL201256) for the first author, and by National Natural Science Foundation of China (71231001) for the second author.
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Ling, X., Li, P. Stochastic comparisons for the number of working components of a system in random environment. Metrika 76, 1017–1030 (2013). https://doi.org/10.1007/s00184-012-0429-1
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DOI: https://doi.org/10.1007/s00184-012-0429-1