APPLICATION OF EBLUP ESTIMATION TO THE ANALYSIS OF SMALL AREAS ON THE BASIS OF POLISH HOUSEHOLD BUDGET SURVEY

• Authors: Alina Jędrzejczak , Jan Kubacki
• Languages of publication: EN

Abstracts

EN

In the paper the results of small area estimation using empirical best linear unbiased predictor (EBLUP) for the data coming from Polish Household Budget Survey are presented. The results were obtained using small area models of household expenditures for regions. Estimation of sampling errors was conducted by means of the balanced repeated replication (BRR) technique. The estimation of EBLUPs and their corresponding mean square errors (MSE) was carried out using variance components technique. To calculate MSE of EBLUP the maximum likelihood method (ML) and restricted maximum likelihood method (REML) were used. The computation was made using SAE package designed for R-project.

Keywords

EN

small area estimation; empirical best linear unbiased predictor (EBLUP); household budget survey; variance estimation

• Publisher: Katedra Ekonometrii i Statystyki, Szkoła Główna Gospodarstwa Wiejskiego w Warszawie
• Journal: Metody Ilościowe w Badaniach Ekonomicznych
• Year: 2009
• Volume: 10
• Issue: 1
• Pages: 121-130

Contributors

author

Alina Jędrzejczak

• Katedra Metod Statystycznych UŁ

author

Jan Kubacki

• USLORB

References

• Bracha, Cz., Lednicki, B., Wieczorkowski, R. (2004) Wykorzystanie złożonych metod estymacji do dezagregacji danych z Badania Aktywności Ekonomicznej Ludności w 2003 roku. „Z Prac Zakładu Badań Statystyczno-Ekonomicznych” z. 299.
• The EURAREA Consortium (2004), Project Reference, Volume I and III.
• Fay, R.E., Herriot, R.A. (1979), Estimation of Income from Small Places: Applica-tion of James Stein Procedure to Census Data. Journal of the American Statistical Association, 74, pp. 269-277.
• Kordos, J. (2005), Household surveys in transition countries. Chap. XXV in Household Sample Surveys in Developing and Transition Countries, United Na-tions, New York.
• Kordos, J., Lednicki, B., Żyra, M. (2002), The household sample surveys in Po-land. Statistics in Transition, vol. 5, No. 4, pp. 555-589.
• Pratesi, M., Salvati, N. (2008), Small area estimation: the EBLUP estimator based on spatially correlated random area effects, Statistical Methods and Applications, 17, No 1, pp. 113-141.
• Rao, J.N.K. (2003), Small Area Estimation, Wiley, London.
• Software for ecological inference (2007) http://www.bias-project.org.uk/software/
• UNDP Polska (2006), Report “Social Exclusion and Integration in Poland: An Indicators-based Approach”, Warsaw.