Type I General Exponential Class of Distributions | [Pakistan Journal of Statistics and Operation Research • 2018]

Author(s):

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

2. Haitham M. Yousof: Department of Statistics, Mathematics and Insurance, Benha University, Egypt

3. Mahdi Rasekhi: Department of Statistics, Malayer University, Malayer, Iran

4. Morad Alizadeh: Department of Statistics, Persian Gulf University, Bushehr, Iran

5. Seyed Morteza Najibi: Department of Statistics, College of Sciences, Shiraz University, Shiraz, Iran

Abstract:

We introduce a new family of continuous distributions and study the mathematical properties of the new family. Some useful characterizations based on the ratio of two truncated moments and hazard function are also presented. We estimate the model parameters by the maximum likelihood method and assess its performance based on biases and mean squared errors in a simulation study framework.

Page(s): 39-55

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 14, Issue: 1, Year: 2018

Keywords:

Quantile function , Characterization , Maximum Likelihood , Order Statistic , Hazard function , Moment

References:

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

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

[3] Hamedani G. G.,Yousof H. M.,Rasekhi M.,Alizadeh M.,Najibi S. M. .2017 .Type I general exponential class of distributions. Pak. J. Stat. Oper. Res., XIV(1), : 39-55.

[4] Hamedani G. G.,Yousof H. M.,Rasekhi M.,Alizadeh M.,Najibi S. M. .2017 .Type I general exponential class of distributions. Pak. J. Stat. Oper. Res., XIV(1), : 39-55.

[5] Hamedani G. G.,Yousof H. M.,Rasekhi M.,Alizadeh M.,Najibi S. M. .2017 .Type I general exponential class of distributions. Pak. J. Stat. Oper. Res., XIV(1), : 39-55.

[6] Hamedani G. G.,Yousof H. M.,Rasekhi M.,Alizadeh M.,Najibi S. M. .2017 .Type I general exponential class of distributions. Pak. J. Stat. Oper. Res., XIV(1), : 39-55.

[7] Hamedani G. G.,Yousof H. M.,Rasekhi M.,Alizadeh M.,Najibi S. M. .2017 .Type I general exponential class of distributions. Pak. J. Stat. Oper. Res., XIV(1), : 39-55.

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

[9] Hamedani G. G.,Yousof H. M.,Rasekhi M.,Alizadeh M.,Najibi S. M. .2018 .Type I general exponential class of distributions. Pakistan Journal of Statistics and Operation Research, : 39-55.

[10] Hamedani G. G.,Yousof H. M.,Rasekhi M.,Alizadeh M.,Najibi S. M. .2017 .Type I general exponential class of distributions. Pak. J. Stat. Oper. Res., XIV (1), : 39-55.

[11] Hamedani G. G.,Yousof H. M.,Rasekhi M.,Alizadeh M.,Najibi S. M. .2017 .Type I general exponential class of distributions. Pak. J. Stat. Oper. Res., XIV (1), : 39-55.

[12] Hamedani G. G.,Yousof H. M.,Rasekhi M.,Alizadeh M.,Najibi S. M. .2017 .Type I general exponential class of distributions. Pak. J. Stat. Oper. Res., XIV (1), : 39-55.

[13] Hamedani G. G.,Yousof H. M.,Rasekhi M.,Alizadeh M.,Najibi S. M. .2017 .Type I general exponential class of distributions. Pak. J. Stat. Oper. Res., XIV (1), : 39-55.

[14] Hamedani G. G.,Yousof H. M.,Rasekhi M.,Alizadeh M.,Najibi S. M. .2017 .Type I general exponential class of distributions. Pakistan Journal of Statistics and Operation Research, 14 : 39-55.

[15] Hamedani G. G.,Yousof H. M.,Rasekhi M.,Alizadeh M.,Najibi S. M. .2017 .Type I general exponential class of distributions. Pakistan Journal of Statistics and Operation Research, 14 : 39-55.

[16] Hamedani G. G.,Yousof H. M.,Rasekhi M.,Alizadeh M.,Najibi S. M. .2017 .Type I general exponential class of distributions. Pak. J. Stat. Oper. Res., XIV(1), : 39-55.

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