An Extended Alpha Power Family of Distributions: Its Applications to the Scientific Data

In this study, a Novel Extended Alpha Power (NEAP) family of distributions is introduced to improve efficiency of the existing class of lifetime distributions. A sub-mode of NEAP is further studied using Weibull distribution as an input model. This new version of distribution is referred as novel extended alpha power Weibull (NEAPW) distribution. The new distribution is suitable for modeling both monotone and non-monotone type data. Various statistical characteristics of the suggested model are estimation of parameters, the order statistics, mean residual, quantile function, and moments are obtained. A simulation study of the novel distribution is also conducted. The usefulness and effectiveness of the novel model is established by investigating two real data sets from the field of basic sciences.