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

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 esti...

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Bibliographic Details
Main Authors: Fastel Chipepa, Broderick Oluyede, Divine Wanduku, Thatayaone Moakofi
Other Authors: Midlands State University
Format: book part
Language:English
Published: Springer, Cham 2022
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Online Access:https://cris.library.msu.ac.zw//handle/11408/5235
https://doi.org/10.1007/978-3-030-77169-0_14
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Summary: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.