New Modified Extended Weibull Distribution with Real Life Application

Zubair Ahmad

Abstract


In this study, a new lifetime distribution is introduced by considering a serial system with one component following a new extended Weibull distribution and another following an exponential distribution. The mathematical properties including moments, generation of random numbers and densities of the order statistics are derived. The estimation of the model parameters through maximum likelihood is discussed. The proposed distribution is demonstrated by analyzing a real data set from reliability engineering, and its goodness of fit result is compared with some of the well-known modifications of the Weibull distribution.

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MAYFEB Journal of Mathematics 
Toronto, Ontario, Canada
MAYFEB TECHNOLOGY DEVELOPMENT
ISSN 2371-6193