A relation between moments of Liu process and Bernoulli numbers

Guanzhong Ma (), Xiangfeng Yang () and Xiao Yao ()
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Guanzhong Ma: Anyang Normal University
Xiangfeng Yang: University of International Business and Economics
Xiao Yao: Nankai University

Fuzzy Optimization and Decision Making, 2021, vol. 20, issue 2, No 7, 272 pages

Abstract: Abstract 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.

Keywords: Uncertainty theory; Liu process; Bernoulli numbers; Inverse uncertainty distribution (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10700-020-09338-5

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