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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2007 / Cilt: 36 - Sayı: 1

A Generalized Formula for Inclusion Probabilities in Ranked Set Sampling

Fikri GÖKPINAR
Yaprak Arzu ÖZDEMİR
Sayfa
89–99
Yayın Tarihi
2022-10-18
DOI
—
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Also we compare these probabilitieswith simple random samplings for various given samples and populationsizes.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In probability sampling, the inclusion probability of any element in thepopulation is the probability of the element which will be chosen inthe sample.
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Temel Bulgular & Veri:Al-Saleh and Samawi (A note on inclusion probability inranked set sampling and some of its variations, Test., in press) introduced inclusion probabilities in ranked set sampling for sample sizes 2and 3.
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Sonuç & Katkı:Also we compare these probabilitieswith simple random samplings for various given samples and populationsizes.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Ranked Set sampling · Simple random sampling · Inclusion probability

Abstract

In probability sampling, the inclusion probability of any element in thepopulation is the probability of the element which will be chosen inthe sample. Al-Saleh and Samawi (A note on inclusion probability inranked set sampling and some of its variations, Test., in press) introduced inclusion probabilities in ranked set sampling for sample sizes 2and 3. In this paper we gave a generalized formula of these inclusionprobabilities for any sample size. Also we compare these probabilitieswith simple random samplings for various given samples and populationsizes.

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Bu Makaleye Atıf Yap

GÖKPINAR, F., ÖZDEMİR, Y. A. (2022). A Generalized Formula for Inclusion Probabilities in Ranked Set Sampling. Hacettepe Journal of Mathematics and Statistics, Cilt: 36 - Sayı: 1, 89–99. https://ajindex.com/articles/530751

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Kaynakça (6)

  1. Al Saleh, M. F. and Samawi, H. M. A note on inclusion probability in ranked set sampling and some of its variations. Test.(In Press) Dell, D. R. and Clutter, J. L. Ranked set sampling theory with order statistics background, Biometrics 28, 545–555, 1972.
  2. McIntyre, G. A. A method of unbiased selective sampling, using ranked sets, Australian Jour- nal of Agricultural Research 3, 385–390, 1952.
  3. Patil, G. P., Sinha, A. K. and Taillie, C. Finite population correction for ranked set sampling, Annals of the Institute of Statistical Mathematics 47, 621–636, 1995. ¨Ozt¨urk, ¨O., Bilgin, ¨O.C. and Wolfe, D. A. Estimation of population mean and variance in flock management: A ranked set sampling approach in a finite population setting, Journal Of Statistical Computation and Simulation 75, 905–919, 2005.
  4. Takahasi, K. and Futatsuya, M. Ranked set sampling from a finite population, Proceedings of the institute of statistical mathematics 36, 55–68, 1988.
  5. Takahasi, K. and Futatsuya, M. Dependence between order statistics in samples from finite population and its application to ranked set sampling, Proceeding of the institute of statistical mathematics 50, 49–70, 1998.
  6. Takahasi, K. and Wakimoto, K. On unbiased estimates of the population mean based on the sample stratified by means of ordering, Annals of the Institute of Statistical Mathematics 21, 249–255, 1968.