THE BETA WEIBULL-G FAMILY OF DISTRIBUTIONS: THEORY, CHARACTERIZATIONS AND APPLICATIONS | [Pakistan Journal of Statistics • 2017]

Author(s):

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

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

3. Ahmed Z. Afify: Department of Statistics, Mathematics and Insurance, Benha University, Egypt.

4. Indranil Ghosh: Department of Mathematics and Statistics, University of North Carolina Wilmington, USA.

5. Morad Alizadeh: Department of Statistics, Faculty of Sciences, Persian Gulf University Bushehr, 75169, Iran

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

Abstract:

We propose and study a new class of continuous distributions called the beta WeibullG family which extends the Weibull-G family introduced by Bourguignon et al. (2014). Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, order statistics and probability weighted moments are derived. The maximum likelihood is used for estimating the model parameters. The importance and flexibility of the new family are illustrated by means of two applications to real data sets.

Page(s): 95-116

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics, Volume: 33, Issue: 2, Year: 2017

Keywords:

Order Statistics , Moments , maximum likelihood estimation , NULLBetaG Family , Generating Function , WeibullG Family

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