A New Extended G Family of Continuous Distributions with Mathematical Properties, Characterizations and Regression Modeling | [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. Emrah Altun: Department of Statistics, Bartin University, Bartin 74100, Turkey.

3. Mustafa Ç. Korkmaz: Department of Measurement and Evaluation, Artvin Çoruh University, Artvin, Turkey.

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

5. Nadeem Shafique Butt: Department of Family and Community Medicine, Rabigh King Abdul Aziz University, Jeddah, Kingdom of Saudi Arabia.

Abstract:

We propose a new extended G family of distributions. Some of its structural properties are derived and some useful characterization results are presented. The maximum likelihood method is used to estimate the model parameters by means of graphical and numerical Monte Carlo simulation study. The flexibility of the new family illustrated by means of two real data sets. Moreover, we introduce a new log-location regression model based on the proposed family. The martingale and modified deviance residuals are defined to detect outliers and evaluate the model assumptions. The potentiality of the new regression model is illustrated by means of a real data set.

Page(s): 737-758

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 14, Issue: 3, Year: 2018

Keywords:

Simulation , Characterization , Regression modeling

References:

[1] Hamedani G. G.,Altun E,Yousof M. C.,Butt H. M.,N. S. H. M. .2018 .A new extended G family of continuous distributions with mathematical properties, characterizations and regression modeling. Pak. J. Stat. Oper. Res., 14(3) : 737-758.

[2] Hamedani G. G.,Altun E,Yousof M. C.,Butt H. M.,N. S. H. M. .2018 .A new extended G family of continuous distributions with mathematical properties, characterizations and regression modeling. Pak. J. Stat. Oper. Res., 14(3) : 737-758.

[3] Hamedani G. G.,Altun E,Yousof M. C.,Butt H. M.,N. S. H. M. .2018 .A new extended G family of continuous distributions with mathematical properties, characterizations and regression modeling. Pak. J. Stat. Oper. Res., 14(3) : 737-758.

[4] Hamedani G. G.,Altun E,Yousof M. C.,Butt H. M.,N. S. H. M. .2018 .A new extended G family of continuous distributions with mathematical properties, characterizations and regression modeling. Pak. J. Stat. Oper. Res., 14(3) : 737-758.

[5] Hamedani G. G.,Altun E,Yousof M. C.,Butt H. M.,N. S. H. M. .2018 .A new extended G family of continuous distributions with mathematical properties, characterizations and regression modeling. Pak. J. Stat. Oper. Res., 14(3) : 737-758.

[6] Hamedani G. G.,Altun E.,Korkmaz M. C.,Yousof H. M.,Butt N. S. .2018 .A new extended G family of continuous distributions with mathematical properties, characterizations and regression modeling. Pakistan Journal of Statistics and Operation Research, : 737-758.

[7] Hamedani G. G.,Altun E,Yousof M. C.,Butt H. M.,N. S. H. M. .2018 .A new extended G family of continuous distributions with mathematical properties, characterizations and regression modeling. Pak. J. Stat. Oper. Res., 14(3) : 737-758.

[8] Hamedani G. G.,Altun E,Yousof M. C.,Butt H. M.,N. S. H. M. .2018 .A new extended G family of continuous distributions with mathematical properties, characterizations and regression modeling. Pak. J. Stat. Oper. Res., 14(3) : 737-758.

[9] Hamedani G. G.,Altun E,Yousof M. C.,Butt H. M.,N. S. H. M. .2018 .A new extended G family of continuous distributions with mathematical properties, characterizations and regression modeling. Pak. J. Stat. Oper. Res., 14(3) : 737-758.

[10] Hamedani G. G.,Altun E,Yousof M. C.,Butt H. M.,N. S. H. M. .2018 .A new extended G family of continuous distributions with mathematical properties, characterizations and regression modeling. Pak. J. Stat. Oper. Res., 14(3) : 737-758.

[11] Hamedani G. G.,Altun E,Yousof M. C.,Butt H. M.,N. S. H. M. .2018 .A new extended G family of continuous distributions with mathematical properties, characterizations and regression modeling. Pakistan Journal of Statistics and Operation Research, 14 : 737-758.

[12] Hamedani G. G.,Altun E,Yousof M. C.,Butt H. M.,N. S. H. M. .2018 .A new extended G family of continuous distributions with mathematical properties, characterizations and regression modeling. Pakistan Journal of Statistics and Operation Research, 14 : 737-758.

[13] Hamedani G. G.,Altun E.,Korkmaz M. C.,Yousof H. M.,Butt N. S. .2018 .A new extended G family of continuous distributions with mathematical properties, characterizations and regression modeling. Pakistan Journal of Statistics and Operation Research, : 737-758.

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