A new cubic transmuted power-function distribution: Properties, inference, and applications

A new three-parameter cubic transmuted power distribution is proposed using the cubic rank transformation. The density and hazard functions of the new distribution provide great flexibility. Some mathematical properties of the new model such as quantile function, moments, dispersion index, mean residual life, and order statistics are derived. The model parameters are estimated using five different estimation methods. A comprehensive simulation study is carried out to understand the behavior of derived estimators and choose the best estimation method. The usefulness of the proposed distribution is illustrated using a real dataset. It is concluded that the proposed distribution is better than some well-known existing distributions.

Automated summary

A new three-parameter cubic transmuted power distribution is proposed, which provides great flexibility in terms of density and hazard functions. Various mathematical properties such as the quantile function, moments, dispersion index, mean residual life, and order statistics are derived for the new model. The model parameters are estimated using five different estimation methods, and a comprehensive simulation study is conducted to evaluate the performance of the estimators and select the best estimation method. The usefulness of the proposed distribution is demonstrated using a real dataset, and it is concluded that the proposed distribution outperforms some existing well-known distributions.