Abstract
References
- Al-Hossain, A. Y. and Khan, M. Efficiency of ratio, product, and regression estimators under maximum and minimum values, using two auxiliary variables, Journal of Applied Mathematics, 6 pages, 2014.
- Cochran, W. The estimation of the yields of cereal experiments by sampling for the ratio of grain to total produce, The Journal of Agricultural Science 30(02), 26-275, 1940.
- Hansen, M. H., Hurwitz, W. N., and Gurney, M. Problems and methods of the sample survey of business, Journal of the American Statistical Association 41(234), 173-189, 1946.
- Khan, M. and Shabbir, J. Some improved ratio, product, and regression estimators of finite population mean when using minimum and maximum values, The Scientific World Journal, 7 pages, 2013.
- Särndal, C.-E. Sample survey theory vs. general statistical theory: Estimation of the population mean, International Statistical Review/Revue Internationale de Statistique 40, 1-12, 1972.
- Singh, R. and Mangat, N. S. Elements of Survey Sampling, Kluwer Academic Publishers, Netherlands, 1996.
Abstract
Unusual observations can occur in sample survey data. Mean estimator is sensitive to very large and/or small values, if included in sample. It can provide biased results and ultimately, tempted to delete from the sample data. Extreme values, if known, can be retained in data and used as the auxiliary information to increase the precision of estimate. Similarly, a known auxiliary variable is always source of improvement in precision of estimates. A transformation can be used for the auxiliary variable to get even more precised estimates. In this article, we have suggested modified estimators for finite population mean when a sample is drawn under stratified random sampling design. We used extreme values and fractional raw moments of the auxiliary variable and suggested improved ratio, product and regression type estimators. By theoretical comparison, efficiency of proposed estimators is established and numerical and simulation studies are conducted to support the theoretical results.
References
- Al-Hossain, A. Y. and Khan, M. Efficiency of ratio, product, and regression estimators under maximum and minimum values, using two auxiliary variables, Journal of Applied Mathematics, 6 pages, 2014.
- Cochran, W. The estimation of the yields of cereal experiments by sampling for the ratio of grain to total produce, The Journal of Agricultural Science 30(02), 26-275, 1940.
- Hansen, M. H., Hurwitz, W. N., and Gurney, M. Problems and methods of the sample survey of business, Journal of the American Statistical Association 41(234), 173-189, 1946.
- Khan, M. and Shabbir, J. Some improved ratio, product, and regression estimators of finite population mean when using minimum and maximum values, The Scientific World Journal, 7 pages, 2013.
- Särndal, C.-E. Sample survey theory vs. general statistical theory: Estimation of the population mean, International Statistical Review/Revue Internationale de Statistique 40, 1-12, 1972.
- Singh, R. and Mangat, N. S. Elements of Survey Sampling, Kluwer Academic Publishers, Netherlands, 1996.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Statistics |
| Authors | |
| Publication Date | April 1, 2018 |
| Published in Issue | Year 2018 Volume: 47 Issue: 2 |