- Author
- Pumputis Dalius (Lithuanian University of Educational Sciences), Ciginas Andrius (Vilnius University, Lithuania)
- Title
- Estimation of Quadratic Finite, Population Functions Using Calibration
- Source
- Statistics in Transition, 2011, vol. 12, nr 2, s. 309-330, tab., bibliogr. 11 poz.
- Keyword
- Kalibracja, Estymatory, Analiza symulacyjna
Calibration, Estimators, Simulation analysis - Note
- Materiały z The Third Baltic-Nordic Conference on Survey Statistics.
summ. - Abstract
- Since the quadratic finite population functions can be expressed as totals over a synthetic population consisting of some ordered pairs of elements of the initial population, the traditional and penalized calibration technique is used to derive some calibrated estimators of the quadratic finite population functions. A linear combination of estimators discussed is considered as well. A comparison of approximate variances of the calibrated estimators is also presented. A simulation study is performed to analyze the empirical properties of the calibrated estimators of the finite population variance and covariance which appear as special cases of the quadratic functions. It is shown also how the calibrated estimators of the population covariance (variance) can be applied in regression estimation of the finite population total. (original abstract)
- Accessibility
- The Main Library of the Cracow University of Economics
The Library of Warsaw School of Economics
The Library of University of Economics in Katowice
The Main Library of Poznań University of Economics and Business
The Main Library of the Wroclaw University of Economics - Full text
- Show
- Bibliography
-
- Deville, J.C. and Särndal, C. E., 1992. Calibration estimators in survey sampling. Journal of the American Statistical Association, 87, pp.376-382.
- Farrell, P. and Singh, S., 2002. Penalized chi square distance function in survey sampling. ASA Proceedings, pp.963-968.
- Guggemos, F. and Tille, Y., 2010. Penalized calibration in survey sampling: Design-based estimation assisted by mixed models. Journal of Statistical Planning and Inference, 140, pp.3199- 3212.
- Plikusas, A. and Pumputis, D., 2007. Calibrated estimators of the population covariance. Acta Applicandae Mathematicae, 97, pp.177- 187.
- Plikusas, A. and Pumputis, D., 2010. Estimation of the finite population covariance using calibration. Nonlinear Analysis: Modelling and Control, 15(3), pp.325-340.
- Särndal, C.E., 2007. The calibration approach in survey theory and practice. Survey Methodology, 33(2), pp.99-119.
- Särndal, C.E. Swensson, B. and Wretman, J., 1992. Model Assisted Survey Sampling. New York: Springer-Verlag.
- Singh, S., 2003. On Farrell and Singh's penalized chi square distance functions in survey sampling. SСС Proceedings, pp.173-178.
- Singh, S. Horn, S. Chowdhury, S. and Yu, F., 1999. Calibration of the estimators of variance. Austral. & New Zealand J. Statist., 41(2), pp. 199-212.
- Sitter, R.R. and Wu, C., 2002. Efficient estimation of quadratic finite population functions in the presence of auxiliary information. Journal of the American Statistical Association, 97(458), pp.535-543.
- Yates, F. and Grundy, P., 1953. Selection without replacement from within strata with probability proportional to size. Journal of the Royal Statistical Society, 15(2), pp.253-261.
- Cited by
- ISSN
- 1234-7655
- Language
- eng
