A new stochastic order based on discrete Laplace transform and some ordering results of the order statistics

Fatemeh Gharari; Masoud Ganji

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arXiv · 2104.03716

A new stochastic order based on discrete Laplace transform and some ordering results of the order statistics

Fatemeh Gharari·Masoud Ganji

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Abstract

This paper aims to study a new stochastic order based upon discrete Laplace transforms. By this order, in a setup where the sample size is random, having discrete delta and nabla distributions, we obtain some ordering results involving ordinary and fractional order statistics. Some applications in frailty models and reliability are presented as well.

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Fatemeh Gharari, Masoud Ganji. 2021-04-08. A new stochastic order based on discrete Laplace transform and some ordering results of the order statistics. https://arxiv.org/abs/2104.03716

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