SIMPLE COMPUTATIONAL FORMULAS FOR INCLUSION PROBABILITIES IN RANKED SET SAMPLING

Authors : Fikri GÖKPINAR, Yaprak Arzu ÖZDEMİR

Pages : 117-130

View : 15 | Download : 8

Publication Date : 2014-01-01

Article Type : Research Paper

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 insert ignore into journalissuearticles values(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 ¨Ozdemirinsert ignore into journalissuearticles values(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.
Keywords : Ranked Set Sampling, First Order Inclusion Probability, Second OrderInclusion Probability, Finite Population Setting, 2000 AMS Classification 62D05