Skip Navigation

Biometrika 2004 91(1):95-112; doi:10.1093/biomet/91.1.95
© 2004 by Biometrika Trust
This Article
Right arrow FREE Full Text (PDF) Freely available
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Ghosh, M.
Right arrow Articles by Maiti, T.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Small-area estimation based on natural exponential family quadratic variance function models and survey weights

Malay Ghosh1 and Tapabrata Maiti2

1 Department of Statistics, University of Florida, Gainesville, Florida 32611-8545, U.S.Aghoshm{at}stat.ufl.edu 2 Department of Statistics, Iowa State University, Ames, Iowa 50011-1210, U.S.A.taps{at}iastate.edu

We propose pseudo empirical best linear unbiased estimators of small-area means based on natural exponential family quadratic variance function models when the basic data consist of survey-weighted estimators of these means, area-specific covariates and certain summary measures involving the weights.We also provide explicit approximate mean squared errors of these estimators in the spirit of Prasad & Rao (1990), and these estimators can be readily evaluated. A simulation study is undertaken to evaluate the performance of the proposed inferential procedure. We estimate also the proportion of poor children in the 5–17 years age-group for the different counties in one of the states in the United States.

Key Words: Area specific covariate; Linear unbiased estimator; Mean squared error; Optimal estimating equation; Poor school-age children; Pseudo empirical best

Received January 2002. Revised June 2003


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?


This article has been cited by other articles:


Home page
 BiometrikaHome page
S. N. Lahiri, T. Maiti, M. Katzoff, and V. Parsons
Resampling-based empirical prediction: an application to small area estimation
Biometrika, June 1, 2007; 94(2): 469 - 485.
[Abstract] [Full Text] [PDF]


Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.