Likelihood ratio ordering of parallel systems with heterogeneous scaled components
This paper considers stochastic comparison of parallel systems in terms of likelihood ratio order under scale models. We introduce a new order, the so-called q-larger order, and show that under certain conditions, the q-larger order between the scale vectors can imply the likelihood ratio order of parallel systems. Applications are given to the generalized gamma scale family.
Probability in the Engineering and Informational Sciences
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Wang, Jiantian, "Likelihood ratio ordering of parallel systems with heterogeneous scaled components" (2018). Kean Publications. 1485.