A New Exponentiated Weibull Distribution’s Extension

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Contributions to Mathematics, 1(1), 57-66 (2020) .


We introduce a new continuous distribution based on the zero truncated Poisson model which accommodates many im- portant failure rate shapes. Some of its mathematical properties are derived. The density of the new distribution can be expressed as a combination of exponentiated Weibull densities. The method of the maximum likelihood is considered to estimate the model parameters. The importance and flexibility of the proposed distribution are also demonstrated via mod- eling three data sets.

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