Incomplete Gamma Distribution: A New Two Parameter Lifetime Distribution with Survival Regression Model

Authors

Aliakbar Rasekhi, Tarbiat Modares University
Mahdi Rasekhi, Malayer UniversityFollow
Gholamhossein Hamedani, Marquette UniversityFollow

Document Type

Article

Publication Date

2019

Publisher

Univrsitatea Politehnica din Bucuresti

Source Publication

Scientific Bulletin. Series A : Applied Mathematics and Physics

Source ISSN

1223-7027

Abstract

We introduce a new two parameter lifetime distribution constructed via incomplete gamma function which includes exponential distribution as a limiting case. This distribution is more flexible than most of the two parameter extended exponential distributions. Various statistical properties such as moments, moment generating function and certain useful characterizations based on the ratio of two truncated moments are presented. Maximum likelihood estimation method is used for estimating parameters of this distribution and a survival regression model based on the proposed distribution is presented for fitting breast cancer data set.

Comments

Published version. Scientific Bulletin. Series A : Applied Mathematics and Physics, Vol. 81, No. 2 (2019): 177-184. Publisher link. © 2019 Univrsitatea Politehnica din Bucuresti. Used with permission.

Recommended Citation

Rasekhi, Aliakbar; Rasekhi, Mahdi; and Hamedani, Gholamhossein, "Incomplete Gamma Distribution: A New Two Parameter Lifetime Distribution with Survival Regression Model" (2019). Mathematical and Statistical Science Faculty Research and Publications. 76.
https://epublications.marquette.edu/math_fac/76