Abstract
The Transmuted Topp Leone Flexible Weibull distribution was developed in this paper using the Transmuted Topp Leone family of distributions and its basic statistical properties were established. Estimation of model parameters was considered using the maximum likelihood estimation (MLE) method and three real life applications were provided. The TTLFW distribution is a promising model as its performance relative to other compounds probability models like the Exponentiated Flexible Weibull, Weibull Flexible Weibull, Kumaraswamy Flexible Weibull, Beta Flexible Weibull, Gamma Flexible Weibull, and Exponentiated Generalized Flexible Weibull distributions is quite credible.
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