Extended Poisson-Frechet Distribution: Mathematical Properties and Applications to Survival and Repair Times
Year: 2021
Type: article
Abstract: In this paper, a new four parameter zero truncated Poisson Frechet distribution is defined and studied. Various structural mathematical properties of the proposed model including ordinary moments, incomplete moments, generating functions, order statistics, residual and reversed residual life functions are investigated. The maximum likelihood method is used to estimate the model parameters. We assess the performance of the maximum likelihood method by means of a numerical simulation study. The new distribution is applied for modeling two real data sets to illustrate empirically its flexibility.
Source: Journal of Data Science
Author: M.S. Hamed
Institutions: Benha University, Taibah University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W3042020302