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Moment generating functions of record values from a class of doubly truncated distributions
Journal of Taibah University for Science ( IF 2.8 ) Pub Date : 2020-08-10 , DOI: 10.1080/16583655.2020.1804156
Abd EL-Baset A. Ahmad 1 , Mohamad A. Fawzy 2, 3 , Yousef F. Alharbi 2
Affiliation  

In this paper, we consider a class of doubly truncated distributions. Based on this class, recurrence relation for moment generating functions of record values is derived. Recurrence relations for single and product moments of record values are deduced from the main results. Several of the known distributions can be seen as special cases of the used class, which includes the left, right and non-truncated distributions. So, we discuss in detail some examples of these distributions based on the main results. In general, for any distribution in the considered class, we reach to a general form to find recurrence relations of moment generating function and moments.



中文翻译:

从一类双重截断分布中记录值的矩生成函数

在本文中,我们考虑了一类双重截断分布。基于该类,导出记录值的矩生成函数的递归关系。从主要结果推导出记录值的单矩和乘积矩的递归关系。几种已知分布可以看作是所用类的特殊情况,包括左,右和非截断分布。因此,我们根据主要结果详细讨论了这些分布的一些示例。通常,对于所考虑的类别中的任何分布,我们都达到一种通用形式,以找到力矩产生函数和力矩的递归关系。

更新日期:2020-08-10
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