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A new stochastic order based on discrete Laplace transform and some ordering results of the order statistics (2104.03716v1)
Published 8 Apr 2021 in math.ST and stat.TH
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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