A new estimator for mean under stratified random sampling. (English) Zbl 1417.62022
Summary: In this paper, we have proposed an estimator of finite population mean in stratified random sampling. The expressions for the bias and mean square error of the proposed estimator are obtained up to the first order of approximation. It is found that the proposed estimator is more efficient than the traditional mean, ratio, exponential, regression, J. Shabbir and S. Gupta [Commun. Stat., Theory Methods 40, No. 2, 199–212 (2011; Zbl 1208.62015)] and S. A. Khan et al. [“A class of transformed efficient ratio estimators of finite population mean”, Pakistan J. Stat. 31, No. 4, 353–362 (2015)] estimators. We have utilized four natural and four artificial data sets under stratified random sampling scheme for assessing the performance of all the estimators considered here.
MSC:
| 62D05 | Sampling theory, sample surveys |
Citations:
Zbl 1208.62015References:
| [1] | Bahl, S.; Tuteja, RK, Ratio and product type exponential estimator, J. Inf. Optim. Sci., 12, 159-163, (1991) · Zbl 0727.62018 |
| [2] | Kadilar, C.; Cingi, H., Ratio estimators in stratified sampling, Biom. J., 45, 218-225, (2003) · Zbl 1441.62391 · doi:10.1002/bimj.200390007 |
| [3] | Khan, SA; Ali, H.; Manzoor, S.; Alamgir, A class of transformed efficient ratio estimators of finite population mean, Pak. J. Stat., 31, 353-362, (2015) |
| [4] | Koyuncu, N.; Kadilar, C., Ratio and product estimators in stratified random sampling, J. Stat. Plann. Inference, 139, 2552-2558, (2009) · Zbl 1162.62003 · doi:10.1016/j.jspi.2008.11.009 |
| [5] | Koyuncu, N.; Kadilar, C., Calibration weighting in stratified random sampling, Commun. Stat. Simul. Comput., 45, 2267-2275, (2016) · Zbl 1351.62023 · doi:10.1080/03610918.2014.901354 |
| [6] | Murthy, M.N.: Sampling Theory and Methods. Statistical Publishing Society, Calcutta (1967) · Zbl 0183.20602 |
| [7] | Rao, T., On certain methods of improving ratio and regression estimators, Commun. Stat. Theory Methods, 20, 3325-3340, (1991) · Zbl 0800.62046 · doi:10.1080/03610929108830705 |
| [8] | Shabbir, J.; Gupta, S., On estimating finite population mean in simple and stratified random sampling, Commun. Stat. Theory Method, 40, 199-212, (2011) · Zbl 1208.62015 · doi:10.1080/03610920903411259 |
| [9] | Singh, H.P., Kakran, M.S.: A Modified Ratio Estimator using Known Coefficient of Kurtosis of an Auxiliary Character.(unpublished) (1993) |
| [10] | Singh, R., Mangat, N.S.: Elements of Survey Sampling. Kluwer Academic Publishers, London (1996) · Zbl 0937.62546 · doi:10.1007/978-94-017-1404-4 |
| [11] | Sisodia, BVS; Dwivedi, VK, A modified ratio estimator using coefficient of variation of auxiliary variable, J. Indian Soc. Agric. Stat., 33, 13-18, (1981) |
| [12] | Upadhyaya, LN; Singh, HP, Use of transformed auxiliary variable in estimating the finite population mean, Biom. J., 41, 627-636, (1999) · Zbl 0963.62014 · doi:10.1002/(SICI)1521-4036(199909)41:5<627::AID-BIMJ627>3.0.CO;2-W |
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