Modeling for the Lifetime Data with Applications

In our life there are many distribution that can be used to model life time data. However there are many important problem in which the real data cannot fit any of the previous life time distributions . Wherefore this works deals with new two flexible distributions, which are (the Weibull - Exponentiated Exponential and the Rayleigh_ Exponentiated Exponential), by finding the cumulative probability and probability density functions of the two distributions and discussion some of statistical and mathematical properties of each moments, variances, the coefficient of skewness, the generating function of moments, entropy, and ordered statistics . The parameters of each of these distribution have estimated using the maximum likelihood, moment method. The useful, of their distribution has explained by application of two real data sets . The proposed distribution are better than (Weibull _Exponentiated Exponential, Exponential - Weibull, odd Generalized Exponential, Flexible_Weibull; Weibull Rayleigh, Rayleigh _Rayleigh, extended odd Weibull Rayleigh) through the comparison between them.All computation and plot have done by using program Matlab (R2012b).