Staff Members - Benha University
Extended Poisson-Frechet Distribution: Mathematical Properties and Applications to Survival and Repair Times
Journal of Data Science, • 2020
Publication Information
Authors
M. S. Hamed
Keywords
Zero Truncated Poisson Distribution; Frechet Distribution; Maximum Like-
lihood Estimation; Simulation; Generating Function; Moments; Order Statistics.
Journal
Journal of Data Science,
Publisher
342
Volume
18
Issue
2
Pages
319
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
In this paper, a new four parameter zero truncated Poisson Frechet distribution is
de ned 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 max-
imum likelihood method by means of a numerical simulation study. The new distribution
is applied for modeling two real data sets to illustrate empirically its
exibility.
de ned 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 max-
imum likelihood method by means of a numerical simulation study. The new distribution
is applied for modeling two real data sets to illustrate empirically its
exibility.