Empirical Likelihood Methods for Sample Survey Data: An Overview

Authors

  • J.N.K. Rao Carleton University, Ottawa, Canada

DOI:

https://doi.org/10.17713/ajs.v35i2&3.365

Abstract

The use of empirical likelihood (EL) in sample surveys dates back to Hartley and Rao (1968). In this paper, an overview of the developments in empirical likelihood methods for sample survey data is presented. Topics covered include EL estimation using auxiliary population information and EL confidence intervals. Issues related to pseudo-EL estimation for general sampling designs are also discussed.

References

Chen, J., Chen, S. Y., and Rao, J. N. K. (2003). Empirical likelihood confidence intervals for the mean of a population containing many zero values. The Canadian Journal of Statistics, 31, 53-68.

Chen, J., and Qin, J. (1993). Empirical likelihood estimation for finite population and the effective usage of auxiliary information. Biometrika, 80, 107-116.

Chen, J., and Sitter, R. R. (1999). A pseudo empirical likelihood approach to the effective use of auxiliary information in complex surveys. Statistica Sinica, 9, 385-406.

Chen, J., and Wu, C. (2002). Estimation of distribution function and quantiles using the model-calibrated pseudo empirical likelihood method. Statistica Sinica, 12, 1223-1239.

Godambe, V. P. (1966). A unified theory of sampling from finite populations. Journal of the Royal Statistical Society, B, 28, 310-328.

Hartley, H. O., and Rao, J. N. K. (1968). A new estimation theory for sample surveys. Biometrika, 55, 547-557.

Hartley, H. O., and Rao, J. N. K. (1969). A new estimation theory for sample surveys II. In New Developments in Survey Sampling (p. 147-169). New York: Wiley Inter-Science.

Hartley, H. O., and Rao, J. N. K. (1971). Foundations of survey sampling (a Don Quizote tragedy). American Statistician, 25, 21-27.

Owen, A. B. (1988). Empirical likelihood ratio confidence intervals for a single functional. Biometrika, 75, 237-249.

Owen, A. B. (2001). Empirical Likelihood. New York: Chapman and Hall.

Rao, J. N. K. (1994). Estimating totals and distribution functions using auxiliary information at the estimation stage. Journal of Official Statistics, 10, 153-165.

Wu, C. (2004b). R/S-PLUS implementation of pseudo empirical likelihood methods under unequal probability sampling (Tech. Rep.). Department of Statistics and Actuarial Science, University of Waterloo. (Working Paper 2004-07)

Wu, C. (2004c). Combining information from multiple surveys through empirical likelihood method. The Canadian Journal of Statistics, 34, 15-26.

Wu, C., and Rao, J. N. K. (2004a). Empirical likelihood ratio confidence intervals for complex surveys. (Submitted for publication)

Wu, C., and Rao, J. N. K. (2004b). Pseudo empirical likelihood inference for multiple surveys and dual frame surveys. (Paper under preparation)

Wu, C., and Sitter, R. R. (2001). A model-calibration approach to using complete auxiliary information from survey data. Journal of the American Statistical Association, 96, 185-193.

Zhong, C. X. B., and Rao, J. N. K. (1996). Empirical likelihood inference under stratified random sampling using auxiliary information. In Proceedings of the Section on Survey Research Methods (p. 798-803). American Statistical Association.

Zhong, C. X. B., and Rao, J. N. K. (2000). Empirical likelihood inference under stratified sampling using auxiliary population information. Biometrika, 87, 929-938.

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Published

2016-04-03

How to Cite

Rao, J. (2016). Empirical Likelihood Methods for Sample Survey Data: An Overview. Austrian Journal of Statistics, 35(2&3), 191–196. https://doi.org/10.17713/ajs.v35i2&3.365

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Articles