Type II Topp-Leone Generalized Exponentiated Weibull Distribution: Properties and Application to Cancer Stem Cell Data

Oseghale innocent Osezuwa, Oyebimpe Emmanuel Adeniji and Solanke Gbenga
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Oseghale innocent Osezuwa: Department of Mathematics and Statistics, Federal University Otuoke, Bayelsa State, Nigeria.
Oyebimpe Emmanuel Adeniji: Department of Statistics, University of Ibadan, Oyo State, Nigeria.
Solanke Gbenga: Department of Statistics, University of Ibadan, Oyo State, Nigeria.

International Journal of Research and Innovation in Applied Science, 2024, vol. 9, issue 9, 45-55

Abstract: This work presents a flexible lifetime distribution with increasing, increasing and decreasing and non-monotonic hazard rate called Type II Top-Leone Exponentiated Weibull ( ) distribution. The density function of model has right-skewed and symmetrical shapes. Descriptive properties such as quantile function, moments, incomplete moments, probability weighted moments, moment generating functions, Renyl and Shannon entropies are theoretically established. Parameters of distribution are estimated using maximum likelihood method. The potentiality/tractability of distribution is demonstrated by its to cancer stem cell data.

Date: 2024
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