The Topp Leone-G Power Series Class of Distributions with Applications

Boikanyo Makubate, Kethamile Rannona, Broderick Oluyede, Fastel Chipepa

Research output: Contribution to journalArticlepeer-review


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 propertiesof the TL-GPS class of distributions are obtained. Maximum likelihood estimates for the proposed model wereobtained. A simulation study is carried out for the special case of Topp-Leone Log-Logistic Poisson distributionto assess the performance of the maximum likelihood estimates. Finally, we apply Topp-Leone-log-logistic Poissondistribution to real data sets to illustrate the usefulness and applicability of the proposed class of distributions

Original languageEnglish
Pages (from-to)827-846
Number of pages20
JournalPakistan Journal of Statistics and Operation Research
Issue number4
Publication statusPublished - 2021

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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