The Three-Parameter Exponentiated Weibull Exponential Distribution: Theoretical Properties and Practical Implications

Abstract

Various statistical properties of the exponentiated Weibull exponential (EWE) distribution including quantile and hazard rate functions, skewness, kurtosis, order statistics, and entropies are investigated. The parameters are estimated by the maximum likelihood estimation (MLE) method. The flexibility and behaviour of the estimators were studied through a simulation. The empirical flexibility of the presented distribution was examined by means of real-life data. It was observed that our distribution serves as a viable alternative model to existing probability densities in the literature for the analysis of lifetime data.

Keywords

Maximum likelihood estimation (MLE) / Moments / Orders statistics / Weibull distribution / 60E05 / 00A72

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Funding

Fundação para a Ciência e a Tecnologia(UIDP/MAT/00212/2020)

Universidade da Beira Interior (UBI)

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