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Hartley-Ross type unbiased estimators using the stratified random sampling

Year 2017, Volume: 46 Issue: 2, 293 - 302, 01.04.2017

Abstract

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.

References

  • 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.
Year 2017, Volume: 46 Issue: 2, 293 - 302, 01.04.2017

Abstract

References

  • 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.
There are 11 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Statistics
Authors

Hatice Oncel Cekim

Cem Kadilar

Publication Date April 1, 2017
Published in Issue Year 2017 Volume: 46 Issue: 2

Cite

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. April 2017;46(2):293-302.
Chicago Oncel Cekim, Hatice, and Cem Kadilar. “Hartley-Ross Type Unbiased Estimators Using the stratified Random Sampling”. Hacettepe Journal of Mathematics and Statistics 46, no. 2 (April 2017): 293-302.
EndNote Oncel Cekim H, Kadilar C (April 1, 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 and C. Kadilar, “Hartley-Ross type unbiased estimators using the stratified random sampling”, Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 2, pp. 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 (April 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 and Cem Kadilar. “Hartley-Ross Type Unbiased Estimators Using the stratified Random Sampling”. Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 2, 2017, pp. 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.