Moment generating functions of record values from a class of doubly truncated distributions

被引：0

作者：

Ahmad, Abd EL-Baset A. ^{[1
]}

Fawzy, Mohamad A. ^{[2
,3
]}

Alharbi, Yousef F. ^{[2
]}

机构：

[1] Assiut Univ, Fac Sci, Math Dept, Assiut, Egypt

[2] Taibah Univ, Coll Sci, Math Dept, Madinah, Saudi Arabia

[3] Suez Univ, Math Dept, Suez, Egypt

来源：

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2020年 / 14卷 / 01期

关键词：

Record values; moment generating function; moments; doubly truncated distributions; RECURRENCE RELATIONS; ORDER-STATISTICS;

D O I：

10.1080/16583655.2020.1804156

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：1089 / 1099

页数：11

共 21 条

[1] Recurrence relations for single moments of generalized order statistics from doubly truncated distributions [J].