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On comparison of two parallel systems having Log–Lindley distributed components

Shovan Chowdhury, Amarjit Kundu and Surja Kanta Mishra

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 1, 121-140

Abstract: In this article, we compare two parallel systems of heterogeneous-independent Log–Lindley distributed components using the concept of matrix majorization. The comparisons are carried out with respect to the usual stochastic ordering when each component receives a random shock. It is proved that for two parallel systems with a common shape parameter vector, the majorized matrix of the scale and shock parameters leads to better system reliability. Results related to the comparison of two parallel systems having heterogeneous -dependent Log–Lindley component are also presented in terms of usual stochastic ordering.

Date: 2023
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DOI: 10.1080/03610926.2021.1910838

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