EN
Unbiased ratio estimators of the mean in stratified ranked set sampling
Abstract
Stratified ranked set sampling (StRSS) combines the advantages of stratification and ranked set sampling (RSS). In this paper, we propose several unbiased ratio type estimators using StRSS, when population mean of the auxiliary variable is known. The variances of the proposed
unbiased ratio-type estimators are obtained to first degree of approximation. In simulation study the proposed estimators are more efficient as compared to other competitor estimators using Percentage Relative Efficiency (PRE), Percentage Relative Bias (PRB) and Percentage Relative Root Mean Square Error (PRRMSE).
unbiased ratio-type estimators are obtained to first degree of approximation. In simulation study the proposed estimators are more efficient as compared to other competitor estimators using Percentage Relative Efficiency (PRE), Percentage Relative Bias (PRB) and Percentage Relative Root Mean Square Error (PRRMSE).
Keywords
References
- Arnold, B. C., Balakrishnan, N. and Nagaraja, H. N. A First Course in Order Statistics, Vol. 54, Siam, 1992.
- Chambers, R.L. and Dunstan, R. Estimating the distribution function from survey data, Biometrika, 73, 597-604, 1986.
- Harms, T and Duchesne, P. On calibration estimation for quantile, Survey Methodology, 32, 37-52, 2006.
- Hartley, H.O. and Ross, A. Unbiased ratio estimators, Nature, 174, 270-271, 1954.
- Kadilar, C and Cingi, H. A new ratio estimator in stratified random sampling, Communication in Statistics: Theory and Methods, 34, 597-602, 2005.
- Kadilar, C and Cingi, H. New ratio estimators using correlation coefficient, Interstat, 1-11, 2006.
- Kadilar, C and Cingi, H. An improvement in estimating the population mean by using the correlation coefficient, Hacettepe Journal of Mathematics and Statistics, 35 (1), 103-109, 2006.
- Kadilar, C , Candan, M. and Cingi, H. Ratio estimators using robust regression, Hacettepe Journal of Mathematics and Statistics, 36 (2), 181-188, 2007.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
December 1, 2017
Submission Date
August 6, 2015
Acceptance Date
January 3, 2016
Published in Issue
Year 2017 Volume: 46 Number: 6
APA
Khan, L., Shabbir, J., & Gupta, S. (2017). Unbiased ratio estimators of the mean in stratified ranked set sampling. Hacettepe Journal of Mathematics and Statistics, 46(6), 1151-1158. https://izlik.org/JA87XS78JN
AMA
1.Khan L, Shabbir J, Gupta S. Unbiased ratio estimators of the mean in stratified ranked set sampling. Hacettepe Journal of Mathematics and Statistics. 2017;46(6):1151-1158. https://izlik.org/JA87XS78JN
Chicago
Khan, Lakhkar, Javid Shabbir, and Sat Gupta. 2017. “Unbiased Ratio Estimators of the Mean in Stratified Ranked Set Sampling”. Hacettepe Journal of Mathematics and Statistics 46 (6): 1151-58. https://izlik.org/JA87XS78JN.
EndNote
Khan L, Shabbir J, Gupta S (December 1, 2017) Unbiased ratio estimators of the mean in stratified ranked set sampling. Hacettepe Journal of Mathematics and Statistics 46 6 1151–1158.
IEEE
[1]L. Khan, J. Shabbir, and S. Gupta, “Unbiased ratio estimators of the mean in stratified ranked set sampling”, Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 6, pp. 1151–1158, Dec. 2017, [Online]. Available: https://izlik.org/JA87XS78JN
ISNAD
Khan, Lakhkar - Shabbir, Javid - Gupta, Sat. “Unbiased Ratio Estimators of the Mean in Stratified Ranked Set Sampling”. Hacettepe Journal of Mathematics and Statistics 46/6 (December 1, 2017): 1151-1158. https://izlik.org/JA87XS78JN.
JAMA
1.Khan L, Shabbir J, Gupta S. Unbiased ratio estimators of the mean in stratified ranked set sampling. Hacettepe Journal of Mathematics and Statistics. 2017;46:1151–1158.
MLA
Khan, Lakhkar, et al. “Unbiased Ratio Estimators of the Mean in Stratified Ranked Set Sampling”. Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 6, Dec. 2017, pp. 1151-8, https://izlik.org/JA87XS78JN.
Vancouver
1.Lakhkar Khan, Javid Shabbir, Sat Gupta. Unbiased ratio estimators of the mean in stratified ranked set sampling. Hacettepe Journal of Mathematics and Statistics [Internet]. 2017 Dec. 1;46(6):1151-8. Available from: https://izlik.org/JA87XS78JN