Open AccessType II Exponentiated Half-Logistic-Topp-Leone-G Power Series Class of Distributions with Applications
Author(s) -
Thatayaone Moakofi,
Broderick O. Oluyede,
Fastel Chipepa
Publication year - 2021
Publication title -
pakistan journal of statistics and operation research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 15
eISSN - 2220-5810
pISSN - 1816-2711
DOI - 10.18187/pjsor.v17i4.3775
Subject(s) - mathematics , quantile , statistics , consistency (knowledge bases) , maximum likelihood , class (philosophy) , series (stratigraphy) , quantile function , econometrics , probability distribution , moment generating function , discrete mathematics , computer science , artificial intelligence , paleontology , biology
This paper aims to develop a new class of distributions, namely, type II exponentiated half-logistic Topp-Leone 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 is conducted study to evaluate the consistency of the maximum likelihood estimates. We also present three real data examples to illustrate the usefulness of the new class of distributions. Results shows that the proposed model performs better than nested and several non-nested models on selected data sets