Estimation of Weibull Distribution Parameters

This paper is concerned with the estimation of the parameters of Weibull distribution whose density function is given by Samples for each of the different sample sizes were simulated 1000 times computer simulation is used to obtain the statistical properties of the estimators .Estimators have been obtained by method of least squares,for the two cases, presence and absence of the second order approximation in the Taylor expansion, and comparison between the two cases is made. The estimators is less biased for the case where second approximation in Taylor expansion is present than for other case. In order check the model examination of the residual is carried out for a sample of size 50 with 5 simulations for both in case of presence and absence of second order approximation in the Taylor expansion.The errors have zero mean and constant variance.The calculation is carried out by computer.