Review Articles

Stochastic comparisons on total capacity of weighted k-out-of-n systems with heterogeneous components

Yiying Zhang

School of Statistics and Data Science, LPMC and KLMDASR, Nankai University, Tianjin, People’s Republic of China

Pages 72-80 | Received 07 Sep. 2020, Accepted 20 Feb. 2021, Published online: 08 Mar. 2021,
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This paper carries out stochastic comparisons on the total capacity of weighted k-out-of-n systems with heterogeneous components. The expectation order, the increasing convex/concave order and the usual stochastic order are employed to investigate stochastic behaviours of system capacity. Sufficient conditions are established in terms of majorisation-type orders between the vectors of component lifetime distribution parameters and the vectors of weights. Some examples are also provided as illustrations.

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References

To cite this article: Yiying Zhang (2021): Stochastic comparisons on total capacity of weighted
k-out-of-n systems with heterogeneous components, Statistical Theory and Related Fields, DOI:10.1080/24754269.2021.1894402
To link to this article: https://doi.org/10.1080/24754269.2021.1894402