Exponentiated Exponential - Exponentiatd Weibull Linear Mixed Distribution

The present article deals with the linear mixing of exponentiated Exponential and exponentiated Weibull distributions. The proposed model is named as exponentiated Exponential-Exponentiated Weibull linear mixed distribution. Several existing distributions arise as special cases of the proposed model. Statistical properties such as shape of the density and the distribution function, moments, generating functions and reliability are studied. An empirical study is presented for mean, variance, coefficient of skewness, and coefficient of kurtosis. The method of maximum likelihood is used for estimation of the parameters. Applicability of the proposed model in the field of reliability and medical sciences accommodate its validity.