Research Article

Hartley-Ross type unbiased estimators using the stratified random sampling

Volume: 46 Number: 2 April 1, 2017
EN

Hartley-Ross type unbiased estimators using the stratified random sampling

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.

Keywords

References

  1. 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.
  2. 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)
  3. Hartley, H. O. and Ross, A. Unbiased ratio estimators Nature 174, 270272, 1954.
  4. 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.
  5. Kadilar, C. and Cingi, H. Ratio estimators in stratified random sampling Biometrical Journal 45 (2), 218-225, 2003.
  6. Kadilar, C. and Cingi, H. A new ratio estimator in stratied sampling Communications in Statistics-Theory and Methods 34, 597602, 2005.
  7. 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.
  8. 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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

April 1, 2017

Submission Date

June 23, 2016

Acceptance Date

August 4, 2016

Published in Issue

Year 2017 Volume: 46 Number: 2

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. https://izlik.org/JA84EC66EB
AMA
1.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. https://izlik.org/JA84EC66EB
Chicago
Oncel Cekim, Hatice, and Cem Kadilar. 2017. “Hartley-Ross Type Unbiased Estimators Using the Stratified Random Sampling”. Hacettepe Journal of Mathematics and Statistics 46 (2): 293-302. https://izlik.org/JA84EC66EB.
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
[1]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, Apr. 2017, [Online]. Available: https://izlik.org/JA84EC66EB
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 1, 2017): 293-302. https://izlik.org/JA84EC66EB.
JAMA
1.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, Apr. 2017, pp. 293-02, https://izlik.org/JA84EC66EB.
Vancouver
1.Hatice Oncel Cekim, Cem Kadilar. Hartley-Ross type unbiased estimators using the stratified random sampling. Hacettepe Journal of Mathematics and Statistics [Internet]. 2017 Apr. 1;46(2):293-302. Available from: https://izlik.org/JA84EC66EB