Comparison of Estimation Methods for Frechet Distribution with Known Shape

This paper deals with the estimation of scale parameter for Frechet distribution with known shape. The Maximum likelihood estimation and Probability weighted moment estimation are discussed. Bayes estimator is obtained using Jeffreys’ prior under quadratic loss function, El-Sayyad’s loss function and linex loss function. Through extensive simulation study, we compared the performance of these estimators considering various sample size based on mean squared error (MSE).