The Kumaraswamy Exponentiated Fréchet Distribution. | [Pakistan Journal of Statistics • 2018]

Author(s):

1. Mahmoud M. Mansour: Department of MIS, Yanbu, Taibah University, Saudi Arabia

2. Gokarna Aryal: Department of Mathematics, Statistics and CS, Purdue University Northwest, USA.

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

4. Munir Ahmad: National College of Business Administration and Economics, Lahore, Pakistan

Abstract:

A new five-parameter model called the Kumaraswamy exponentiated Fréchet (KwEFr) distribution is proposed and studied. The new model generalizes many well known distributions in the literature. It is illustrated that 27 different distribution are embedded in the Kw-EFr distribution. Various structural properties including explicit expressions for ordinary and incomplete moments, quantile, generating function and Rényi and qentropies are derived. The maximum likelihood method is used to estimate the model parameters and the observed information matrix is derived. A real data set is used to compare the new model with other competing models.

Page(s): 177-193

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics, Volume: 34, Issue: 3, Year: 2018

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