In this paper, we present some methods for estimating the parameters of the two parameter Power function distribution. We use the least squares method (L.S.M), relative least squares method (R.L.S.M) and ridge regression method (R.R.M). Sampling behavior of the estimates is indicated by a monte carlo simulation. We use total deviation (T.D) and mean square error (M.S.E) to identify the best estimator among them. We determine the best method of estimation using different values for the parameters and different sample size.