Type II General Exponential Class of Distributions

G.G. Hamedani; Mahdi Rasekhi; Sayed Najibi; Haitham Yousof; Morad Alizadeh

Author(s)

G.G. Hamedani Department of Mathematics, Statistics and Computer Science, Marquette University, USA

Mahdi Rasekhi Department of Statistics, Malayer University, Malayer, Iran

Sayed Najibi Department of Statistics, Persian Gulf University, Bushehr, Iran

Haitham Yousof Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt

Morad Alizadeh Department of Statistics, Persian Gulf University, Bushehr, Iran

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 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.

Publication Details

Page(s) 503-523

DOI DOI not available

Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 15, Issue: 2, Year: 2019

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Keywords

Quantile function, Order statistics, Maximum Likelihood, Moment

References

Hamedani G. G.,Rasekhi M.,Najibi S. M.,Yousof H. M.,Alizadeh M. .2019 .Type II general exponential class of distributions. Pak. J. Stat. Oper. Res., forthcoming., : .

Hamedani G. G.,Rasekhi M.,Najibi S. M.,Yousof H. M.,Alizadeh M. .2019 .Type II general exponential class of distributions. Pak. J. Stat. Oper. Res., XV(2), : 503-523.

Hamedani G. G.,Rasekhi M.,Najibi S. M.,Yousof H. M.,Alizadeh M. .2019 .Type II general exponential class of distributions. Pak. J. Stat. Oper. Res., forthcoming., : .

Hamedani G. G.,Rasekhi M.,Najibi S. M.,Yousof H. M.,Alizadeh M. .2019 .Type II general exponential class of distributions. Pak. J. Stat. Oper. Res., XV(2), : 503-523.

Hamedani G. G.,Rasekhi M.,Najibi S. M.,Yousof H. M.,Alizadeh M. .2019 .Type II general exponential class of distributions. Pak. J. Stat. Oper. Res., forthcoming., : .

Hamedani G. G.,Rasekhi M.,Najibi S.,Yousof H. M.,Alizadeh M. .2019 .Type II general exponential class of distributions. Pakistan Journal of Statistics and Operation Research, : 503-523.

Hamedani G. G.,Rasekhi M.,Najibi S. M.,Yousof H. M.,Alizadeh M. .2018 .Type II general exponential class of distributions. Pak. J. Stat. Oper. Res.,forthcoming., : .

Hamedani G. G.,Rasekhi M.,Najibi S. M.,Yousof H. M.,Alizadeh M. .2019 .Type II general exponential class of distributions. Pak. J. Stat. Oper. Res., XV (2), : 503-523.

Hamedani G. G.,Rasekhi M.,Najibi S.,Yousof H. M.,Alizadeh M. .2019 .Type II general exponential class of distributions. Pakistan Journal of Statistics and Operation Research, : 503-523.

Hamedani G. G.,Rasekhi M.,Najibi S. M.,Yousof H. M.,Alizadeh M. .2019 .Type II general exponential class of distributions. Pak. J. Stat. Oper. Res., forthcoming., : .

Hamedani G. G.,Rasekhi M.,Najibi S. M.,Yousof H. M.,Alizadeh M. .2019 .Type II general exponential class of distributions. Pak. J. Stat. Oper. Res., XV (2), : 503-523.

Hamedani G. G.,Rasekhi M.,Najibi S.,Yousof H. M.,Alizadeh M. .2019 .Type II General Exponential Class of Distributions. Pakistan Journal of Statistics and Operation Research, 15(2) : 503-523.

Hamedani G. G.,Rasekhi M.,Najib S. M.,Yousof H. M.,Alizadeh M. .2019 .Type II general exponential class of distributions. Pak. J. Stat. Oper. Res., XV (2), : 503-523.

Hamedani G. G.,Rasekhi M.,Najib S. M.,Yousof H. M.,Alizadeh M. .2019 .Type II general exponential class of distributions. Pakistan Journal of Statistics and Operation Research, 15 : 503-523.

Hamedani G. G.,Rasekhi M.,Najibi S.,Yousof H. M.,Alizadeh M. .2019 .Type II general exponential class of distributions. Pakistan Journal of Statistics and Operation Research, : 503-523.