The Power Zeghdoudi Distribution: Properties, Estimation, and Applications to Real Right-Censored Data

A new two-parameter power Zeghdoudi distribution (PZD) is suggested as a modification of the using transformation method. As result, PZD may have increasing, decreasing, and unimodal probability density function decreasing mean residual life function. In addition, other properties are presented, such moments, order statistics, reliability measures, Bonferroni Lorenz curves, Gini index, stochastic ordering, median deviations, quantile Following this, section devoted to related model parameters which estimated maximum likelihood estimation method, weighted least squares methods, product spacing Cramer–von Mises right-tail left-tail Anderson–Darling Nikulin–Rao–Robson test statistic considered. simulation study conducted assess these methods investigate with right-censored data. The applicability proposed studied based on three real data sets failure times, bladder cancer patients, glass fiber comparison competitors gamma, xgamma, Lomax, Darna, Lindley, exponentiated Lindley models. According several established criteria, comparative findings overwhelmingly favorable model.