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A relation between moments of Liu process and Bernoulli numbers
刊名：
Fuzzy Optimization and Decision Making: A Journal of Modeling and Computation Under Uncertainty
作者：
Ma, Guanzhong
（Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Peoples R China）
Yang, Xiangfeng
（Univ Int Business & Econ, Sch Informat Technol & Management, Beijing 100029, Peoples R China）
Yao, Xiao
（Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China）
刊号：
519LB020
ISSN：
1568-4539
出版年：
2021
年卷期：
2021, vol.20, no.2
页码：
261-272
总页数：
12
分类号：
O22
关键词：
Uncertainty theory
；
Liu process
；
Bernoulli numbers
；
Inverse uncertainty distribution
参考中译：
语种：
eng
文摘：
This paper finds a relation between moments of Liu process and Bernoulli numbers. Firstly, by an exponential generating function of Bernoulli numbers, a useful integral formula is obtained. Secondly, based on this integral formula, the moments of a normal uncertain variable and Liu process are expressed via Bernoulli numbers.
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