A New Class of Distributions Based on Hurwitz Zeta Function with Applications for Risk Management
Zinoviy Landsman, Udi Makov, Tomer Shushi*
Identifiers and Pagination:Year: 2016
First Page: 53
Last Page: 62
Publisher Id: TOSPJ-7-53
Article History:Received Date: 17/08/2016
Revision Received Date: 31/08/2016
Acceptance Date: 01/09/2016
Electronic publication date: 27/12/2016
Collection year: 2016
open-access license: This is an open access article licensed under the terms of the Creative Commons Attribution-Non-Commercial 4.0 International Public License (CC BY-NC 4.0) (https://creativecommons.org/licenses/by-nc/4.0/legalcode), which permits unrestricted, non-commercial use, distribution and reproduction in any medium, provided the work is properly cited.
This paper constructs a new family of distributions, which is based on the Hurwitz zeta function, which includes novel distributions as well important known distributions such as the normal, gamma, Weibull, Maxwell-Boltzmann and the exponential power distributions. We provide the n-th moment, the Esscher transform and premium and the tail conditional moments for this family.