Open AccessThe The Topp Leone-G Power Series Class of Distributions with Applications
Author(s) -
Fastel Chipepa,
Boikanyo Makubate,
Broderick O. Oluyede,
Kethamile Rana
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.v17i4.3636
Subject(s) - mathematics , statistics , poisson distribution , series (stratigraphy) , distribution (mathematics) , class (philosophy) , mathematical analysis , artificial intelligence , computer science , paleontology , biology
We present a new class of distributions called the Topp-Leone-G Power Series (TL-GPS) class of distributions. This model is obtained by compounding the Topp-Leone-G distribution with the power series distribution. Statistical prop- erties of the TL-GPS class of distributions are obtained. Maximum likelihood estimates for the proposed model were obtained. A simulation study is carried out for the special case of Topp-Leone Log-Logistic Poisson distribution to assess the performance of the maximum likelihood estimates. Finally, we apply Topp-Leone-log-logistic Poisson distribution to real data sets to illustrate the usefulness and applicability of the proposed class of distributions.