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Hartley-Ross type unbiased estimators using the stratified random sampling

Yıl 2017, Cilt: 46 Sayı: 2, 293 - 302, 01.04.2017

Öz

This study mentions Hartley-Ross type unbiased ratio estimators of the finite population mean in the stratified random sampling using the auxiliary variable. We propose the unbiased estimators using the estimators in Kadilar and Cingi [5],[6]. We derive the variance equations, up to the first degree of approximation, for all proposed estimators. The proposed estimators have been compared with the mentioned estimators in theory. Finally, we also demonstrate theoretical findings by the support of numerical illustrations.

Kaynakça

  • Cochran, W. G. The estimation of yields of cereal experiments by sampling for ratio of grain to total produce J. Agricultural Sci 30, 262275, 1940.
  • Cingi, H., Kadilar, C. and Kocberber, G. Determination of the opportunities of the primary and the secondary schools in Turkey and suggestions to solve the determined problems (Turkey: TUBITAK, SOBAG106K077, 2007)
  • Hartley, H. O. and Ross, A. Unbiased ratio estimators Nature 174, 270272, 1954.
  • Kadilar, C. and Cekim, H. O. Hartley-Ross type estimators in simple random sampling In Proceedings of the International Conference on Numerical Analysis and Applied Mathemat- ics, AIP Publishing 1648 (610007), 1-4, 2015.
  • Kadilar, C. and Cingi, H. Ratio estimators in stratified random sampling Biometrical Journal 45 (2), 218-225, 2003.
  • Kadilar, C. and Cingi, H. A new ratio estimator in stratied sampling Communications in Statistics-Theory and Methods 34, 597602, 2005.
  • Khan, L. and Shabbir, J. A class of Hartley-Ross type unbiased estimators for popu- lation mean using ranked set sampling Hacettepe Journal of Mathematics and Statistics Doi:10.15672/HJMS.20156210579, 2016.
  • Khan, L. and Shabbir, J. Hartley-Ross type unbiased estimators using ranked set sampling and stratified ranked set sampling North Carolina Journal of Mathematics and Statistics 2, 10-22, 2016.
  • Khan, L., Shabbir, J. and Gupta, S. Unbiased ratio estimators of the mean in stratified ranked set sampling Hacettepe Journal of Mathematics and Statistics Doi:10.15672/HJMS.201610814857, 2016.
  • Pascual, J. N. Unbiased ratio estimators in stratified sampling Journal of the American Statistical Association 293 (5), 70-87, 1961.
  • Singh, H. P., Sharma, B. and Tailor, R. Hartley-Ross type estimators for population mean using known parameters of auxiliary variate Communications in Statistics: Theory and Methods 43, 547-565, 2014.
Yıl 2017, Cilt: 46 Sayı: 2, 293 - 302, 01.04.2017

Öz

Kaynakça

  • Cochran, W. G. The estimation of yields of cereal experiments by sampling for ratio of grain to total produce J. Agricultural Sci 30, 262275, 1940.
  • Cingi, H., Kadilar, C. and Kocberber, G. Determination of the opportunities of the primary and the secondary schools in Turkey and suggestions to solve the determined problems (Turkey: TUBITAK, SOBAG106K077, 2007)
  • Hartley, H. O. and Ross, A. Unbiased ratio estimators Nature 174, 270272, 1954.
  • Kadilar, C. and Cekim, H. O. Hartley-Ross type estimators in simple random sampling In Proceedings of the International Conference on Numerical Analysis and Applied Mathemat- ics, AIP Publishing 1648 (610007), 1-4, 2015.
  • Kadilar, C. and Cingi, H. Ratio estimators in stratified random sampling Biometrical Journal 45 (2), 218-225, 2003.
  • Kadilar, C. and Cingi, H. A new ratio estimator in stratied sampling Communications in Statistics-Theory and Methods 34, 597602, 2005.
  • Khan, L. and Shabbir, J. A class of Hartley-Ross type unbiased estimators for popu- lation mean using ranked set sampling Hacettepe Journal of Mathematics and Statistics Doi:10.15672/HJMS.20156210579, 2016.
  • Khan, L. and Shabbir, J. Hartley-Ross type unbiased estimators using ranked set sampling and stratified ranked set sampling North Carolina Journal of Mathematics and Statistics 2, 10-22, 2016.
  • Khan, L., Shabbir, J. and Gupta, S. Unbiased ratio estimators of the mean in stratified ranked set sampling Hacettepe Journal of Mathematics and Statistics Doi:10.15672/HJMS.201610814857, 2016.
  • Pascual, J. N. Unbiased ratio estimators in stratified sampling Journal of the American Statistical Association 293 (5), 70-87, 1961.
  • Singh, H. P., Sharma, B. and Tailor, R. Hartley-Ross type estimators for population mean using known parameters of auxiliary variate Communications in Statistics: Theory and Methods 43, 547-565, 2014.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm İstatistik
Yazarlar

Hatice Oncel Cekim

Cem Kadilar

Yayımlanma Tarihi 1 Nisan 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 46 Sayı: 2

Kaynak Göster

APA Oncel Cekim, H., & Kadilar, C. (2017). Hartley-Ross type unbiased estimators using the stratified random sampling. Hacettepe Journal of Mathematics and Statistics, 46(2), 293-302.
AMA Oncel Cekim H, Kadilar C. Hartley-Ross type unbiased estimators using the stratified random sampling. Hacettepe Journal of Mathematics and Statistics. Nisan 2017;46(2):293-302.
Chicago Oncel Cekim, Hatice, ve Cem Kadilar. “Hartley-Ross Type Unbiased Estimators Using the stratified Random Sampling”. Hacettepe Journal of Mathematics and Statistics 46, sy. 2 (Nisan 2017): 293-302.
EndNote Oncel Cekim H, Kadilar C (01 Nisan 2017) Hartley-Ross type unbiased estimators using the stratified random sampling. Hacettepe Journal of Mathematics and Statistics 46 2 293–302.
IEEE H. Oncel Cekim ve C. Kadilar, “Hartley-Ross type unbiased estimators using the stratified random sampling”, Hacettepe Journal of Mathematics and Statistics, c. 46, sy. 2, ss. 293–302, 2017.
ISNAD Oncel Cekim, Hatice - Kadilar, Cem. “Hartley-Ross Type Unbiased Estimators Using the stratified Random Sampling”. Hacettepe Journal of Mathematics and Statistics 46/2 (Nisan 2017), 293-302.
JAMA Oncel Cekim H, Kadilar C. Hartley-Ross type unbiased estimators using the stratified random sampling. Hacettepe Journal of Mathematics and Statistics. 2017;46:293–302.
MLA Oncel Cekim, Hatice ve Cem Kadilar. “Hartley-Ross Type Unbiased Estimators Using the stratified Random Sampling”. Hacettepe Journal of Mathematics and Statistics, c. 46, sy. 2, 2017, ss. 293-02.
Vancouver Oncel Cekim H, Kadilar C. Hartley-Ross type unbiased estimators using the stratified random sampling. Hacettepe Journal of Mathematics and Statistics. 2017;46(2):293-302.