Hartley-Ross type unbiased estimators using the stratified random sampling
Year 2017,
Volume: 46 Issue: 2, 293 - 302, 01.04.2017
Hatice Oncel Cekim
,
Cem Kadilar
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
Hatice Oncel Cekim
,
Cem Kadilar
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.