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A Generalized Formula for Inclusion Probabilities in Ranked Set Sampling

Yıl 2007, Cilt: 36 Sayı: 1, 89 - 99, 01.01.2007

Öz

Kaynakça

  • 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.
  • McIntyre, G. A. A method of unbiased selective sampling, using ranked sets, Australian Jour- nal of Agricultural Research 3, 385–390, 1952.
  • 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.
  • Takahasi, K. and Futatsuya, M. Ranked set sampling from a finite population, Proceedings of the institute of statistical mathematics 36, 55–68, 1988.
  • 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.
  • 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.

A Generalized Formula for Inclusion Probabilities in Ranked Set Sampling

Yıl 2007, Cilt: 36 Sayı: 1, 89 - 99, 01.01.2007

Öz

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

Kaynakça

  • 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.
  • McIntyre, G. A. A method of unbiased selective sampling, using ranked sets, Australian Jour- nal of Agricultural Research 3, 385–390, 1952.
  • 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.
  • Takahasi, K. and Futatsuya, M. Ranked set sampling from a finite population, Proceedings of the institute of statistical mathematics 36, 55–68, 1988.
  • 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.
  • 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.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular İstatistik
Bölüm Matematik
Yazarlar

Y. A. Özdemir Bu kişi benim

F. Gökpınar Bu kişi benim

Yayımlanma Tarihi 1 Ocak 2007
Yayımlandığı Sayı Yıl 2007 Cilt: 36 Sayı: 1

Kaynak Göster

APA Özdemir, Y. A., & Gökpınar, F. (2007). A Generalized Formula for Inclusion Probabilities in Ranked Set Sampling. Hacettepe Journal of Mathematics and Statistics, 36(1), 89-99.
AMA Özdemir YA, Gökpınar F. A Generalized Formula for Inclusion Probabilities in Ranked Set Sampling. Hacettepe Journal of Mathematics and Statistics. Ocak 2007;36(1):89-99.
Chicago Özdemir, Y. A., ve F. Gökpınar. “A Generalized Formula for Inclusion Probabilities in Ranked Set Sampling”. Hacettepe Journal of Mathematics and Statistics 36, sy. 1 (Ocak 2007): 89-99.
EndNote Özdemir YA, Gökpınar F (01 Ocak 2007) A Generalized Formula for Inclusion Probabilities in Ranked Set Sampling. Hacettepe Journal of Mathematics and Statistics 36 1 89–99.
IEEE Y. A. Özdemir ve F. Gökpınar, “A Generalized Formula for Inclusion Probabilities in Ranked Set Sampling”, Hacettepe Journal of Mathematics and Statistics, c. 36, sy. 1, ss. 89–99, 2007.
ISNAD Özdemir, Y. A. - Gökpınar, F. “A Generalized Formula for Inclusion Probabilities in Ranked Set Sampling”. Hacettepe Journal of Mathematics and Statistics 36/1 (Ocak 2007), 89-99.
JAMA Özdemir YA, Gökpınar F. A Generalized Formula for Inclusion Probabilities in Ranked Set Sampling. Hacettepe Journal of Mathematics and Statistics. 2007;36:89–99.
MLA Özdemir, Y. A. ve F. Gökpınar. “A Generalized Formula for Inclusion Probabilities in Ranked Set Sampling”. Hacettepe Journal of Mathematics and Statistics, c. 36, sy. 1, 2007, ss. 89-99.
Vancouver Özdemir YA, Gökpınar F. A Generalized Formula for Inclusion Probabilities in Ranked Set Sampling. Hacettepe Journal of Mathematics and Statistics. 2007;36(1):89-9.