Type II Exponentiated Half-Logistic-Topp-Leone-G Power Series Class of Distributions with Applications

Thatayaone Moakofi; Broderick Oluyede; Fastel Chipepa

doi:10.18187/pjsor.v17i4.3775

Type II Exponentiated Half-Logistic-Topp-Leone-G Power Series Class of Distributions with Applications

Thatayaone Moakofi, Broderick Oluyede, Fastel Chipepa

Research output: Contribution to journal › Article › peer-review

Abstract

This paper aims to develop a new class of distributions, namely, type II exponentiated half-logistic Topp-Leone-G power series (TIIEHL-TL-GPS) class of distributions. Some important properties including moments, quantiles,moment generating function, entropy and maximum likelihood estimates are derived. A simulation study is conductedto evaluate the consistency of the maximum likelihood estimates. We also present three real data examples to illustratethe usefulness of the new class of distributions.

Original language	English
Pages (from-to)	885-909
Number of pages	25
Journal	Pakistan Journal of Statistics and Operation Research
Volume	17
Issue number	4
DOIs	https://doi.org/10.18187/pjsor.v17i4.3775
Publication status	Published - 2021
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistics and Probability
Modelling and Simulation
Statistics, Probability and Uncertainty
Management Science and Operations Research

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10.18187/pjsor.v17i4.3775

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abstract = "This paper aims to develop a new class of distributions, namely, type II exponentiated half-logistic Topp-Leone-G power series (TIIEHL-TL-GPS) class of distributions. Some important properties including moments, quantiles,moment generating function, entropy and maximum likelihood estimates are derived. A simulation study is conductedto evaluate the consistency of the maximum likelihood estimates. We also present three real data examples to illustratethe usefulness of the new class of distributions.",

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AB - This paper aims to develop a new class of distributions, namely, type II exponentiated half-logistic Topp-Leone-G power series (TIIEHL-TL-GPS) class of distributions. Some important properties including moments, quantiles,moment generating function, entropy and maximum likelihood estimates are derived. A simulation study is conductedto evaluate the consistency of the maximum likelihood estimates. We also present three real data examples to illustratethe usefulness of the new class of distributions.

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Type II Exponentiated Half-Logistic-Topp-Leone-G Power Series Class of Distributions with Applications

Abstract

All Science Journal Classification (ASJC) codes

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