An Example on Maximum Likelihood Estimates

Abstract

In most introdcuctory courses in matlhematical statistics, students see examples and work problems in which the maximum likelihood estimate (MLE) of a parameter turns out to be either the sample meani, the sample variance, or the largest, or the smallest sample item. The purpose of this note is to provide ani example in wlhich the AILE is the sample median and a simple proof of this fact.