Abouzar Bazyari

‎In this paper‎, ‎two new distributions‎, ‎weibull-rayleigh and weibull-exponential of $X-$weibull family are introduced‎. ‎The various properties of theses distributions‎, ‎for example‎, ‎the density functions‎, ‎distribution functions‎, ‎hazard rate functions‎, ‎moment functions and Shannon entropy are investigated and capabilities of distributions compared to other distributions‎. ‎Also by using simulation from these two distributions with various parameters some of the sample statistical indexes are estimated‎. ‎Two real data sets are used to illustrate the applicability of these distributions‎.