Browse > Article
http://dx.doi.org/10.5351/CSAM.2014.21.1.001

Ratio and Product Type Exponential Estimators of Population Mean in Double Sampling for Stratification  

Tailor, Rajesh (School of Studies in Statistics, Vikram University)
Chouhan, Sunil (Shri Vaishnav Institute of Management)
Kim, Jong-Min (Division of Science and Mathematics, University of Minnesota at Morris)
Publication Information
Communications for Statistical Applications and Methods / v.21, no.1, 2014 , pp. 1-9 More about this Journal
Abstract
This paper discusses the problem of estimation of finite population mean in double sampling for stratification. In fact, ratio and product type exponential estimators of population mean are proposed in double sampling for stratification. The biases and mean squared errors of proposed estimators are obtained upto the first degree of approximation. The proposed estimators have been compared with usual unbiased estimator, ratio and product estimators in double sampling for stratification. To judge the performance of the proposed estimators an empirical study has been carried out.
Keywords
Finite population mean; double sampling for stratification; bias; mean squared error;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Robson, D. S. (1957). Applications of multivariate polykays to the theory of unbiased ratio type estimation, Journal of the American Statistical Association, 52, 511-522.   DOI   ScienceOn
2 Saini, M. and Bahl, S. (2012). Estimation of population mean in two stage design using double sampling for stratification and multi-auxiliary information, International Journal of Computer Applications, 47, 17-21.
3 Singh, H. P. and Vishwakrama, G. K. (2006). An efficient variant of the product and ratio estimators in stratified random sampling, Statistics in Transition, 7, 1311-1325.
4 Singh, H. P. and Vishwakarma, G. K. (2007). A general procedure for estimating the mean using double sampling for stratification, Model Assisted Statistics and Applications, 2, 225-237.
5 (Official website of National Horticulture Board, India) http://nhb.gov.in/statistics/area-production-statistics.html
6 (Website of Japan Meteorological Society.) http://www.data.jma.go.jp/obd/stats/data/en/index.html
7 Ige, A. F. and Tripathi, T. P. (1987). On double sampling for stratification and use of auxiliary infor-mation, Journal of the Indian Society of Agricultural Statistics, 39, 191-201.
8 Bahl, S. and Tuteja, R. K. (1991). Ratio and product type exponential estimator, Journal of Information and Optimization Sciences, 12, 159-163.   DOI
9 Cochran, W. G. (1940). The estimation of yield of cereal experiments by sampling for the ratio of gain to total produce, Journal of Agricultural Science, 30, 262-275.   DOI
10 Hansen, M. H., Hurwitz, W. N. and Gurney, M. (1946). Problems and methods of the sample survey of business, Journal of the American Statistical Association, 41, 173-189.   DOI   ScienceOn
11 Kadilar, C. and Cingi, H. (2003). Ratio estimators in stratified random sampling, Biometrical Journal, 45, 218-225.   DOI   ScienceOn
12 Murthy, M. N. (1967). Sampling Theory and Methods, Statistical Publishing Society, Calcutta, India, 228.
13 Neyman, J. (1938). Contribution to the theory of sampling human population, Journal of the American Statistical Association, 33, 101-116.   DOI   ScienceOn
14 Singh, H. P., Tailor, R., Singh, S. and Kim, J. M. (2008). A modified estimator of population mean using power transformation, Statistical Papers, 49, 37-58.   DOI