Abstract:
In this paper, we proposed a weighted least square estimator based method to estimate the shape parameter of the Frechet distribution. We show the performance of the proposed estimator in a simulation study, it is found that the considered weighted estimation method shows better performance than the maximum likelihood estimation. Maximum product of spacing estimation and least-squares in terms of bias and root mean square error for most of the considered sample sizes. In addition, a real example from Danish data is provided to demonstrate the performance of the considered method.
Keywords:Frechet distribution, weighted least-squares regression, Rank regression, Monte Carlo simulation, shape parameter.
UDC:519.65
Received: 10.07.2022 Received in revised form: 15.09.2022 Accepted: 20.10.2022