Parameters Estimation for Modified Weibull Distribution Using Some Methods of Estimators with Simmulation

This paper concerned with the parameters estimation of modified Weibull distribution (MWD) depending on complete data. The least squares (L.S.) and maximum likelihood (M.L.) methods used for parameters estimation. The results applied on simulated samples with different sizes and different values for scale and shape parameters. The mean square error (MSE) criterion is used for the comparison between estimators in different cases. It is concluded that the sample size has a negative effect on the values of (MSE). This result gave an indicator to the researcher there is no need to use larger samples of sizes than or equal to (50). This indication built on the fact that the improvement in (MSE) is very small which can be ignored. On the other hand the increasing values on a scale parameter have a positive effect on (MSE).