Research and Innovation Articles
Published 2010-06-09
Keywords
- Sampling,
- linear estimator,
- estimator of Neyman,
- Horvitz and Thompson,
- Godambe and Stanek
- Singer and Lencina ...More
How to Cite
Moreno, G., & Lemonte, A. J. (2010). Relationship Between some Classes of Linear Estimators. Revista Integración, Temas De matemáticas, 28(1), 51–65. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/2059
Abstract
We propose a different way of representing the information of asample realization. In this new approach, a sample realization is representedby a common mathematic object that allows to identify the manner in whichthe all sample information is being used in the construction of linear estimators.We show the relationship between the major classes of linear estimatorsproposed in the literature: Neyman, Horvitz and Thompson, Godambe, andStanek, Singer and Lencina.
Keywords: Sampling, linear estimator, estimator of Neyman, Horvitz andThompson, Godambe and Stanek, Singer and Lencina.
Downloads
Download data is not yet available.
References
[1] Bolfarine H., and Zacks S., “Prediction theory for finite populations”, Springer Verlag, New York, 1992.
[2] Cochran W. G., “Sampling Techniques”, 3rd Edition, Wiley, New York, 1977.
[3] Godambe V.P., A unified theory of sampling from finite populations, Journal of The Royal Statistics Society, Series B, 17 (1955), 269-278.
[4] Horvitz D.G., and Thompson D.J., A generalization of sampling without replacement from a finite universe, Journal of the American Statistical Association, 47 (1952), 663-685.
[5] Moreno G., “Modelos mistos para populações finitas com erros de medida endógenos e exógenos”, Tesis de doctorado, Instituto de Matemática y Estatística, Universidade de São Paulo, IME-USP, 2009.
[6] Neyman J., On the two different aspects of the representative method: the method of stratified sampling and the method of purposive selection, Journal of The Royal Statistical Society, Series A, 109 (1934), 558-606.
[7] Stanek III E.J., Singer J.M., y Lencina V.B., A unified approach to estimation and prediction under simple random sampling, Journal of Statistical Planning and Inference, 121 (2004), 325-338.
[2] Cochran W. G., “Sampling Techniques”, 3rd Edition, Wiley, New York, 1977.
[3] Godambe V.P., A unified theory of sampling from finite populations, Journal of The Royal Statistics Society, Series B, 17 (1955), 269-278.
[4] Horvitz D.G., and Thompson D.J., A generalization of sampling without replacement from a finite universe, Journal of the American Statistical Association, 47 (1952), 663-685.
[5] Moreno G., “Modelos mistos para populações finitas com erros de medida endógenos e exógenos”, Tesis de doctorado, Instituto de Matemática y Estatística, Universidade de São Paulo, IME-USP, 2009.
[6] Neyman J., On the two different aspects of the representative method: the method of stratified sampling and the method of purposive selection, Journal of The Royal Statistical Society, Series A, 109 (1934), 558-606.
[7] Stanek III E.J., Singer J.M., y Lencina V.B., A unified approach to estimation and prediction under simple random sampling, Journal of Statistical Planning and Inference, 121 (2004), 325-338.