SIMPLE COMPUTATIONAL FORMULAS FOR INCLUSION PROBABILITIES IN RANKED SET SAMPLING

Yıl 2014, Cilt: 43 Sayı: 1, 117 - 130, 01.01.2014

Fikri Gökpınar Yaprak Arzu Özdemir

Öz

SIMPLE COMPUTATIONAL FORMULAS FOR INCLUSION PROBABILITIES IN RANKED SET SAMPLING

Öz

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.

Anahtar Kelimeler

Ranked Set Sampling, First Order Inclusion Probability, Second OrderInclusion Probability, Finite Population Setting., 2000 AMS Classification: 62D05

Kaynakça

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