- Author
- Wywiał Janusz L. (University of Economics in Katowice, Poland)
- Title
- Estimation of Domain Means on the Basis of Strategy Dependent on Depth Function of Auxiliary Variables' Distribution
- Source
- Statistics in Transition, 2011, vol. 12, nr 1, s. 127-138, rys., tab., bibliogr. 7 poz.
- Keyword
- Estymatory, Estymacja, Dobór próby badawczej, Statystyka małych obszarów
Estimators, Estimation, Selection of test methods, Small area estimates - Note
- The research was supported by the grant number N N111 434137 from the Polish Ministry of Science and Higher Education.
summ. - Abstract
- The paper deals with the problem of estimation of a domain means in a finite and fixed population. We assume that observations of amultidimensional auxiliary variable are known in the population. The proposed estimation strategy consists of the well known Horvitz-Thompson estimator and the non-simple sampling design dependent on a synthetic auxiliary variable whose observations are equal to the values ofa depth function of the auxiliary variable distribution. The well known spherical and Mahalanobis depth functions are considered. A sampling design is proportionate to the maximal order statistic determined on the basis of the synthetic auxiliary variable observations in a simple sample drawn without replacement. A computer simulation analysis leads to the conclusion that the proposed estimation strategy is more accurate for domain means than the well known simple sample means. (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
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- Bibliography
-
- HORVITZD.G., THOMPSON D. J. (1952). A generalization of sampling without replacement from finite universe. Journal of the American Statistical Association, vol. 47, 663-685.
- LIU R.Y., PARELIUS J.M., SINGH K. (1999). Multivariate analysis by data depth: Descriptive statistics, graphics and inference. The Annals of' Statistics, vol. 27, No. 3, 783-858.
- MAHALANOBIS P. C. (1936). On the generalized distance in statistics. Proc. Nat. Acad. Sci. India vol. 12, 49-55.
- Tille Y. (2006). Sampling Algorithms. Springer.
- WYWIAŁ J. L. (2007). Simulation analysis of accuracy estimation of population mean on the basis of strategy dependent on sampling design proportionate to the order statistic of an auxiliary variable. Statistics in Transition-new series vol. 8, No. 1, 125-137.
- WYWIAŁ J. L. (2008). Sampling design proportional to order statistic of auxiliary variable. Statistical Papers, vol. 49, No. 2/April, 277- 289.
- WYWIAŁ J. L. (2009). Sampling design proportional to positive function of order statistics of auxiliary variable. Studia Ekonomiczne-Zeszyty Naukowe, 2009, 53,35-60.
- Cited by
- ISSN
- 1234-7655
- Language
- eng
