GOODNESS-OF-FIT TESTS FOR THE NEW WEIBULL-G FAMILY OF DISTRIBUTIONS

In this paper, we present two New models named New-Weibull-Weibull ($NWW$) and New-Weibull-Rayleigh ($NWR$) from The New-Wei- bull-G family recently introduced that can have a variety of hazard rate shapes allows to describe observations different fields study. unknown parameters the $NWW$ $NWR$ been estimated under maximum likelihood estimation method. Moreover, construct modified chi-squared goodness-of-fit test based on \textit{Nikulin– Rao–Robson} ($NRR$) statistic verify applicability proposed models. shows studied be used as good candidate for analyzing large real phenomena. are applied upon five complete right-censored data sets in order evaluate its practicability flexibility.