Remarks on the Estimation of Position Parameters

Abstract The article contains some theoretical remarks about selected models of position parameters estimation as well as numerical examples of the problem. We ask a question concerning the existence of possible measures of the quality of interval estimation and we mention some popular measures applied to the task. Point estimation is insufficient in practical problems and it is rather interval estimation that is in wide use. Too wide interval suggests that the information available is not sufficient to make a decision and that we should look for more information, perhaps by increasing the sample size.