The Type II Topp-Leone-G Power Series Distribution with Applications on Bladder Cancer

Boikanyo Makubate, Marang Pearl Matsuokwane, Broderick O. Oluyede, Lesego Gabaitiri, Simbarashe Chamunorwa

Research output: Contribution to journalArticlepeer-review


Statistical distributions are important in modeling the real life of an item and therefore proper distributions that provide useful information for sound conclusions and decisions are needed. For that reason, the demand for developing new generalized distributions have become appropriate for data that have both monotonic and non-monotonic hazard rate functions. In this paper, we develop a new distribution called the Type II Topp-Leone-G Power Series (TIITLGPS) distribution by compounding the Type II Topp-Leone-G (TIITLG) distribution with the power series distribution. Statistical properties of the TIITLGPS distribution are obtained. A variety of shapes for the densities and hazard rate are presented of the considered special case. A simulation study to examine the efficiency of the maximum likelihood estimates is also conducted. Finally, the bladder cancer data example is analyzed for illustrative purposes, it is displayed that the introduced distribution provides better fit when compared to other non-nested distributions considered in this work.
Original languageEnglish
Number of pages7
JournalJournal of the Nigerian Society of Physical Sciences
Issue number3
Publication statusPublished - Aug 2022


Dive into the research topics of 'The Type II Topp-Leone-G Power Series Distribution with Applications on Bladder Cancer'. Together they form a unique fingerprint.

Cite this