The Transmuted Geometric-Weibull distribution: Properties, Characterizations and Regression Models | [Pakistan Journal of Statistics and Operation Research • 2017]

Author(s):

1. Zohdy M. Nofal: Department of Statistics, Mathematics and Insurance, Benha University, Egypt

2. Yehia M. El Gebaly: Department of Statistics, Mathematics and Insurance, Benha University, Egypt

3. Emrah Altun: Department of Statistics,Hacettepe University, Turkey.

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

5. Nadeem Shafique Butt: Department of Family and Community Medicine, Faculy of Medicine King Abdulaziz University, Kingdom of Saudi Arabia

Abstract:

We propose a new lifetime model called the transmuted geometric-Weibull distribution. Some of its structural properties including ordinary and incomplete moments, quantile and generating functions, probability weighted moments, Rényi and q-entropies and order statistics are derived. The maximum likelihood method is discussed to estimate the model parameters by means of Monte Carlo simulation study. A new location-scale regression model is introduced based on the proposed distribution. The new distribution is applied to two real data sets to illustrate its flexibility. Empirical results indicate that proposed distribution can be alternative model to other lifetime models available in the literature for modeling real data in many areas.

Page(s): 395-416

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 13, Issue: 2, Year: 2017

Keywords:

Maximum Likelihood , Order Statistic , Goodness of fit , Lifetime data , Moment , Regression model

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