A study on detection probability of correct selection of central parameters

In this study two procedures are described which use for detection probability of correct selection to central parameters of population. İndifferences zone and subset selection approaches which know for estimating to probability of correct selection to central parameters. Subset selection procedure which we used one stage procedure and indifferences zone which we used two stage procedure when the variances unknown. Also weighted sample means are used each procedure and we demonstrate the probability of correct selection of variances-free. The application to found probability of correct selection values with simulation method used for different numbers of population