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The Beta Generalized Inverse Weibull Geometric Distribution and its Applications
Author(s):
1. I. Elbatal: Department of Mathematics and Statistics, College of Science Al Imam Mohammad Ibn Saud Islamic University, Saudi Arabia
2. Yehia M. El Gebaly: Department of Statistics, Mathematics and Insurance Benha University, Egypt
3. Essam A. Amin: Department of Mathematics and Statistics, College of Science Al Imam Mohammad Ibn Saud Islamic University, Saudi Arabia Institute of Statistical Studies and Research Department of Mathematical Statistics, Cairo University, Egypt.
Abstract:
A new six-parameter distribution called the beta generalized inverse Weibull-geometric distribution is proposed. The new distribution is generated from the logit of a beta random variable and includes the generalized inverse Weibull geometric distribution. Various structural properties of the new distribution including explicit expressions for the moments, moment generating function, mean deviation are derived. The estimation of the model parameters is performed by maximum likelihood method. 
Page(s): 75-90
DOI: DOI not available
Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 13, Issue: 1, Year: 2017
Keywords:
Moments , maximum likelihood , Reliability function , Generalized Inverse Weibull , BetaG , Geometric distribution
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