Several expressions for moments of sums of hyperbolic secant random variables
In this paper, we find several expressions for the moments of the hyperbolic secant distribution and the moments of the sum of two independent distributions. They are expressed in terms of Euler and Bernoulli numbers, zeta values, an integral representation, and certain infinite series.
Authors
- Dae San Kim (ORCID: https://orcid.org/0000-0001-9599-7015)
- Taekyun Kim (ORCID: https://orcid.org/0000-0002-3731-7023)
Institutions
- Sogang University (KR)
- Kwangwoon University (KR)
Publication Details
- Journal
- Electronic Research Archive
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/era.2025244
- Citations
- 3
- Primary Topic
- Probability and Risk Models
- Type
- article
- Field-Weighted Citation Impact
- 6.32