Abstract :

In this paper, we will consider the MLEs (maximum likelihood estimators), and meds (median estimators) of the parameters of the Cauchy distribution using SRS (simple random sample) and RSS (ranked set sample). A comparison between these estimators using bias, MSE (mean square error) and the efficiency will be done using simulation. It appears that the MLE based on RSS can be a real competitor to the MLE based on SRS.