Alpha Power Quantile Transformation Distribution

Abstract

A more flexible distribution: Alpha power transformation techniques provide great flexibility in the final distributions. The alpha power Weibull quantile exponential distribution, which may have an asymmetric or near-symmetric density, is shown via the innovative approach. The related failure rate function may take on a variety of asymmetric shapes, including falling, rising, L-shaped, near-symmetrical, and right-skewed forms, which improve its tractability for different modeling purposes. There are many critical mathematical properties of the proposed distribution. The most excellent likelihood approach is used to estimate the unknown parameters of the proposed distribution. Furthermore, many numerical analyses were conducted to assess the accuracy of the estimate's correctness. The utility and flexibility of the suggested distribution are evaluated via an analysis of real-world datasets. The alpha power Weibull quantile exponential distribution that has been suggested may perform better than popular distributions due to its remarkable flexibility.