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.

翻译：本文旨在研究基于离散变换的新的随机顺序。 依此顺序,在样本大小为随机的、有离散三角洲和纳布拉分布分布的设置中,我们获得了一些涉及普通和分序统计的定序结果,还介绍了脆弱模型和可靠性的一些应用。