SIMPLE COMPUTATIONAL FORMULAS FOR INCLUSION PROBABILITIES IN RANKED SET SAMPLING

Abstract

In this study, we derived new formulations for the first and secondorder inclusion probabilities of a ranked set sample in a finite populationsetting. G¨okpınar and ¨Ozdemir (2010) developed a formula to calculatethe first order inclusion probabilities. However, the formula given inthis study is much easier than the one given by G¨okpınar and ¨Ozdemir(2010). Second order inclusion probabilities are computed based onthe formulas which are used for the calculation of first order inclusionprobabilities. Also, we give a numerical example to show the calculationof the formulas and Matlab codes which give first and second inclusionprobabilities for any set and population sizes.