Alpha power Topp-Leone Weibull distribution : Properties, Characterizations, Regression modeling and applications

Abstract

This paper presents a new four-parameter distribution called the alpha power Topp-Leone Weibull distribution. It is more fexible than some existing well-known distributions due to its diferent shapes of the hazard and density functions. Fundamental mathematical properties of this distribution are obtained including the series expansions of density, quantile function, moments, generating function, conditional moments, mean deviations, Bonferroni and Lorenz curves, Rényi and Shanon entropies and order statistics. Characterizations of the new distribution based on two truncated moments and hazard function are investigated. Estimation of the model parameters is carried out by the maximum likelihood estimation method. A simulation study is conducted to evaluate the performance of the maximum likelihood estimators. A new log-alpha power Topp-Leone Weibull regression model is defined. Three real data sets are provided to examine the fexibility of the new models.

Subject Classification:

• 62E10
• 62E15
• 62H10

Keywords:

• Topp-Leone family of distribution
• Alpha power transform
• Weibull distribution
• Maximum likelihood estimation