Type II General Exponential Class of Distributions

Authors

Gholamhossein G. Hamedani, Marquette UniversityFollow
Mahdi Rasekhi, Malayer University
Seyed Morteza Najibi, Persian Gulf University
Haitham M. Yousof, Benha University
Morad Alizadeh, Persian Gulf University-Bushehr

Document Type

Article

Language

eng

Publication Date

2019

Publisher

University of the Punjab

Source Publication

Pakistan Journal of Statistics and Operation Research

Source ISSN

1816-2711

Abstract

In this paper, a new class of continuous distributions with two extra positive parameters is introduced and is called the Type II General Exponential (TIIGE) distribution. Some special models are presented. Asymptotics, explicit expressions for the ordinary and incomplete moments, moment residual life, reversed residual life, quantile and generating functions and stress-strengh [sic] reliability function are derived. Characterizations of this family are obtained based on truncated moments, hazard function, conditional expectation of certain functions of the random variable are obtained. The performance of the maximum likelihood estimators in terms of biases, mean squared errors and confidence interval length is examined by means of a simulation study. Two real data sets are used to illustrate the application of the proposed class.

Comments

Published version. Pakistan Journal of Statistics and Operation Research, Vol. XV, No. 2 (2019): 503-523. DOI. © 2019 University of the Punjab. Used with permission.

Recommended Citation

Hamedani, Gholamhossein G.; Rasekhi, Mahdi; Najibi, Seyed Morteza; Yousof, Haitham M.; and Alizadeh, Morad, "Type II General Exponential Class of Distributions" (2019). Mathematical and Statistical Science Faculty Research and Publications. 29.
https://epublications.marquette.edu/math_fac/29