Generalized New Extended Weibull Distribution with Real Life Application

Zubair Ahmad


In the present study, a new lifetime distribution is introduced by considering a serial system of two component parts, with one component following a Rayleigh distribution and other part following a new extended Weibull distribution. The new model may be named as generalized new extended Weibull distribution and is able to model lifetime data with increasing, unimodal or modified unimodal shaped failure rates. A brief derivation of the expressions of the mathematical properties including moments, generation of random numbers and densities of the order statistics are provided. The maximum likelihood estimates of the unknown parameters are also obtained. The proposed distribution is illustrated by analyzing a real data set and its goodness of fit result is compared with some of the prominent extensions of the Weibull distribution.

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