A New Alpha Power Transformed Weibull Distribution: Properties and Applications

Abstract

The Weibull distribution is one of the most widely used distributions in applied sciences and has been extensively utilized in reliability and survival analysis. By introducing additional parameters, several generations of the Weibull distribution have been proposed in the recent past to enhance the flexibility of the model. In this chapter, we introduced a three-parameter new alpha power transformed Weibull distribution. New alpha power transformed exponential, Weibull, Rayleigh, and exponential distributions are important sub-models of the proposed distribution. We study several statistical properties of the proposed distribution. Estimation of parameters using the method of maximum likelihood, weighted least squares, and Anderson Darling are discussed. Finally, some real data sets are also considered to demonstrate the applicability of the proposed distribution. © 2023 Mir Masoom Ali, Irfan Ali, Haitham M. Yousof and Mohamed Ibrahim.