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The properties of Topp Leone exponentiated weibull distribution with application to survival data

Author Affiliations

  • 1Faculty of Physical Sciences, Department of Statistics, Ahmadu Bello University, Zaria, Nigeria

Res. J. Mathematical & Statistical Sci., Volume 9, Issue (1), Pages 9-15, January,12 (2021)

Abstract

In this study, a new four-parameter lifetime distribution called the Topp Leone exponentiated Weibull distribution was introduced. The model includes several important sub-models as special cases such as Topp Leone Weibull, exponentiated Weibull and Weibull distributions. A linear representation for the probability distribution function was carried out. Some mathematical properties of the distribution were presented such as moments, moment generating function, quantile function, survival function, hazard function, reversed hazard function and odd function. The distribution of order statistic was obtained. Estimation of the parameters by maximum likelihood method was discussed. Two real-life application of the distribution was presented and the analysis showed the fit and flexibility of the new distribution over some lifetime models considered. The analysis showed that the model is effective in fitting survival data.

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