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.

中文翻译：

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一种新的基于离散拉普拉斯变换的随机阶数及阶数统计的一些排序结果

摘要

本文旨在研究一种新的基于离散拉普拉斯变换的随机阶数。通过这个顺序，在样本大小随机的设置中，具有离散的 delta 和 nabla 分布，我们获得了一些涉及普通和分数顺序统计的排序结果。还介绍了一些在脆弱模型和可靠性方面的应用。