The odd Weibull-Topp-Leone-G power series family of distributions: model, properties, and applications

Volume 14, Issue 4, pp 268--286 http://dx.doi.org/10.22436/jnsa.014.04.06

Publication Date: January 13, 2021 Submission Date: October 22, 2020 Revision Date: November 15, 2020 Accteptance Date: December 02, 2020

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Authors

Broderick Oluyede - Department of Mathematical Statistics , Botswana International University of Science and Technology, P. Bag 16, Palapye, Botswana. Fastel Chipepa - Department of Mathematical Statistics , Botswana International University of Science and Technology, P. Bag 16, Palapye, Botswana. - Department of Applied Mathematics and Statistics, Midlands State University, P. Bag 9055, Gweru, Zimbabwe. Divine Wanduku - Department of Mathematical Sciences , Georgia Southern University, GA 30460, USA.

Abstract

A new generalization of the odd Weibull-Topp-Leone-G family of distributions called the odd Weibull-Topp-Leone-G power series family of distributions is developed. Statistical properties of the new distribution were derived. We also derive the maximum likelihood estimates of the proposed model. Some special cases for the new family of distributions were also considered. We conducted a simulation study to evaluate the consistency of the maximum likelihood estimates. Two real data examples were also considered to demonstrate the usefulness of the newly proposed family of distributions.

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Keywords

• Odd Weibull-Topp-Leone-G
• odd Weibull-G
• Topp-Leone-G distribution
• power series distribution

MSC

•  62E99
•  60E05

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