A new stochastic order based on discrete Laplace transform and some ordering results of the order statistics
Statistics Theory
2021-04-09 v1 Statistics Theory
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.
Keywords
Cite
@article{arxiv.2104.03716,
title = {A new stochastic order based on discrete Laplace transform and some ordering results of the order statistics},
author = {Fatemeh Gharari and Masoud Ganji},
journal= {arXiv preprint arXiv:2104.03716},
year = {2021}
}