The (P-A-L) Extended Weibull Distribution: A New Generalization of the Weibull Distribution

Abstract

Recently, some attempts have been made to construct new families of models to extend well-known distributions and at the same time provide great flexibility in modeling data in practice. So, several classes by adding shape parameters to generate new models have been explored in the statistical literature. We propose a new generalization of the three-parameter extended Weibull distribution pioneered by Pappas et al. (2012) by using the generator by Marshall and Olkin (1997). The new model is called the (P-A-L) extended Weibull, where (P-A-L) denote the first letters of the scientists Pappas, Adamidis and Loukas.

Design of Multiple Dependent State Sampling Plan Application for COVID‐19 Data Using Exponentiated Weibull Distribution

“…For more details, please refer, Marshall and Olkin [9]; the extended Weibull distribution, the new extended Weibull distribution by Peng and Yan [10]; Lee et al [11] the beta Weibull distribution, the modified Weibull distribution by Sarhan and Zaindin [12]. Others are the (P-A-L) extended Weibull distribution by Al-Zahrani et al [13]; the additive Weibull distribution by [14], the generalized Weibull distribution by [15,16] proposed EWD, the Kumaraswamy Weibull distribution as proposed by Cordeiro, et al [17] and the generalized modified Weibull distribution established by Carrasco et al [18].…”

Exponentiated power generalized Weibull power series family of distributions: Properties, estimation and applications

“…EPGWG distribution: The EPGWG distribution arises by taking a n = 1 and C(θ) = θ(1 − θ) −1 with θ 2 (0, 1). By using the cdf given by (6), the EPGWG distribution is defined by the following cdf:…”

“…The limitations of the Weibull distribution have motivated various generalizations and extensions, offering more flexible alternatives in terms of modelling. Among them, there are the extended Weibull distribution by [2], the new extended Weibull distribution by [3], the beta Weibull distribution by [4], the modified Weibull distribution by [5], the (P-A-L) extended Weibull distribution by [6], the additive Weibull distribution by [7], the generalized Weibull distribution by [8], the exponentiated Weibull distribution by [9], the Kumaraswamy Weibull distribution by [10] and the generalized modified Weibull distribution by [11].…”