The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions: Model, Properties and Applications

Authors

Fastel Chipepa, Botswana International University of Science and TechnologyFollow
Broderick O. Oluyede, Georgia Southern UniversityFollow
Divine Wanduku, Georgia Southern UniversityFollow
Thatayaone Moakofi, Botswana International University of Science and Technology

Document Type

Contribution to Book

Publication Date

8-27-2021

Publication Title

Methods of Mathematical Modelling and Computation for Complex Systems

DOI

10.1007/978-3-030-77169-0_14

ISBN

978-3-030-77169-0

Abstract

We develop a new class of distributions, namely, the exponentiated half logistic-Topp-Leone-G power series (EHL-TL-GPS) class of distributions. We present some special classes in the proposed distribution. Structural properties were also derived including moments, entropy and maximum likelihood estimates. We conducted a simulation study to evaluate the consistency of the maximum likelihood estimates. We also present two real data examples to illustrate the applicability of the new class of distributions. The proposed model performs better than several non-nested models on selected data sets.

Comments

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Recommended Citation

Chipepa, Fastel, Broderick O. Oluyede, Divine Wanduku, Thatayaone Moakofi. 2021. "The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions: Model, Properties and Applications." Methods of Mathematical Modelling and Computation for Complex Systems, 373: 341-374: Springer. doi: 10.1007/978-3-030-77169-0_14 isbn: 978-3-030-77169-0
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/769