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On Estimating Quantiles Using Auxiliary Information Cover

On Estimating Quantiles Using Auxiliary Information

By: Yves G. Berger and  Juan F. Munoz  
Open Access
|Mar 2015

References

  1. Bahadur, R.R. 1966. “A Note on Quantiles in Large Samples.” The Annals of Mathematical Statistics 37: 577-580.10.1214/aoms/1177699450
  2. Berger, Y.G. and C.J. Skinner. 2003. “Variance Estimation of a Low-Income Proportion.” Journal of the Royal Statistical Society Series C 52: 457-468. DOI: http://dx.doi.org/ 10.1111/1467-9876.00417.10.1111/1467-9876.00417
  3. Berger, Y.G. and O. De la Riva Torres. 2015. “An Empirical Likelihood Approach for Inference Under Complex Sampling Design. To Appear in Journal of Royal Statistical Society, Senes B, 22p.”.10.1111/rssb.12115
  4. Cassel, C.M., C.-E. Särndal, and J.H. Wretman. 1976. “Some Results on Generalized Difference Estimation and Generalized Regression Estimation for Finite Populations.” Biometrika 63: 615-620. DOI: http://dx.doi.org/10.1093/biomet/63.3.615.10.1093/biomet/63.3.615
  5. Cassel, C.M., C.-E. Särndal, and J.H. Wretman. 1977. Foundation of Inference in Survey Sampling. New York: Wiley.
  6. Chambers, R.L. and R. Dunstan. 1986. “Estimating Distribution Functions From Survey Data.” Biometrika 73: 597-604. DOI: http://dx.doi.org/10.1093/biomet/73.3.597.10.1093/biomet/73.3.597
  7. Chaudhuri, S., M.S. Handcock, and M.S. Rendall. 2008. “Generalized Linear Models Incorporating Population Level Information: An Empirical-Likelihood-Based Approach.” Journal of the Royal Statistical Society - Series B (Statistical Methodology) 70: 311-328. DOI: http://dx.doi.org/10.1111/j.1467-9868.2007.00637.x.10.1111/j.1467-9868.2007.00637.x
  8. Chen, J. and C. Wu. 2002. “Estimation of Distribution Function and Quantiles Using Model-Calibrated Pseudo Empirical Likelihood Method.” Statistica Sinica 12: 1223-1239.
  9. Deville, J.C. and C.-E. Särndal. 1992. “Calibration Estimators in Survey Sampling.” Journal of the American Statistical Association 87: 376-382. DOI: http://dx.doi.org/ 10.1080/01621459.1992.10475217.10.1080/01621459.1992.10475217
  10. Dorfman, A.H. 2009. “Inference on Distribution Functions and Quantiles.” In Handbook of Statistics 29B Sample Surveys: Inference and Analysis, edited by D. Pfeffermann and C.R. Rao, pp. 371-395. Amsterdam, North-Holland: Elsevier.10.1016/S0169-7161(09)00236-3
  11. Eurostat. 2003. “Laeken” Indicators-Detailed Calculation Methodology, Directorate E: Social Statistics, Unit E-2: Living Conditions, DOC.E2/IPSE/2003. Available at: http://www.cso.ie/en/media/csoie/eusilc/documents/Laeken%20Indicators%20- %20calculation%20algorithm.pdf.
  12. Eurostat. 2012. European Union Statistics on Income and Living Conditions (EU-SILC).
  13. Available at: http://epp.eurostat.ec.europa.eu/portal/page/portal/microdata/eu_silc.
  14. Francisco, C.A. and W.A. Fuller. 1991. “Quantile Estimation With a Complex Survey Design.” Annals of Statistics 19: 454-469.10.1214/aos/1176347993
  15. Hájek, J. 1971. Comment on a paper by D. Basu. In Foundations of Statistical Inference, edited by V.P. Godambe and D.A. Sprott. Toronto: Holt, Rinehart and Winston.
  16. Hansen, M.H., W.G. Madow, and B.J. Tepping. 1983. “An Evaluation of Model- Dependent and Probability-Sampling Inferences in Sample Surveys.” Journal of the American Statistical Association 78: 776-793. DOI: http://dx.doi.org/10.1080/ 01621459.1983.10477018.10.1080/01621459.1983.10477018
  17. 118 Journal of Official Statistics Harms, T. and P. Duchesne. 2006. “On Calibration Estimation for Quantiles.” Survey Methodology 32: 37-52.
  18. Huang, E.T. and W.A. Fuller. 1978. “Nonnegative Regression Estimation for Survey Data.” In Procceding of the Social Statistics Section of the American Statistical Association, Washington DC, 300-303.
  19. Isaki, C.T. and W.A. Fuller. 1982. “Survey Design Under the Regression Superpopulation Model.” Journal of the American Statistical Association 77: 89-96. DOI: http://dx.doi.10.1080/01621459.1982.10477770
  20. org/10.1080/01621459.1982.10477770.
  21. Lehmann, E.L. 1999. Elements of Large-Sample Theory. New York: Springer-Verlag.10.1007/b98855
  22. Lesage, E. 2011. “The Use of Estimating Equations to Perform a Calibration on Complex Parameters.” Survey Methodology 37: 103-108.
  23. Nygård, F. and A. Sandström. 1985. “The Estimation of the Gini and the Entropy Inequality Parameters in Finite Populations.” Journal of Official Statistics 4: 399-412.
  24. Osier, G. 2009. “Variance Estimation for Complex Indicators of Poverty and Inequality Using Linearization Techniques.” Journal of the European Survey Research Association 3: 167-195.
  25. Owen, A.B. 1991. “Empirical Likelihood for Linear Models.” The Annals of Statistics 19: 1725-1747.10.1214/aos/1176348368
  26. Rao, J.N.K., J.G. Kovar, and H.J. Mantel. 1990. “On Estimating Distribution Functions and Quantiles From Survey Data Using Auxiliary Information.” Biometrika 77: 365-375. DOI: http://dx.doi.org/10.1093/biomet/77.2.365.10.1093/biomet/77.2.365
  27. Rao, J.N.K. and C.F.J. Wu. 1988. “Resampling Inference with Complex Survey Data.” Journal of the American Statistical Association 83: 231-241. DOI: http://dx.doi.org/ 10.1080/01621459.1988.10478591.10.1080/01621459.1988.10478591
  28. Rao, J.N.K., C.F.J. Wu, and K. Yue. 1992. “Some Recent Work on Resampling Methods for Complex Surveys.” Survey Methodology 18: 209-217.
  29. Robinson, P.M. and C.-E. Särndal. 1983. “Asymptotic Properties of the Generalized Regression Estimator in Probability Sampling.” Sankhya B 45: 240-248.
  30. Särndal, C.-E., B. Swensson, and J.H. Wretman. 1992. Model Assisted Survey Sampling. New York: Springer Verlag.10.1007/978-1-4612-4378-6
  31. Serfling, N. 1980. Approximation Theorems of Mathematical Statistics. New York: Wiley.10.1002/9780470316481
  32. Silva, P.L.D., Nascimento and C.J. Skinner. 1995. “Estimating Distribution Functions With Auxiliary Information Using Poststratification.” Journal of Official Statistics 11: 277-294.
  33. Verma, V. and G. Betti. 2011. “Taylor Linearization Sampling Errors and Design Effects for Poverty Measures and Other Complex Statistics.” Journal of Applied Statistics 38: 1549-1576. DOI: http://dx.doi.org/10.1080/02664763.2010.515674.10.1080/02664763.2010.515674
Language: English
Page range: 101 - 119
Submitted on: Oct 1, 2013
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Accepted on: Nov 1, 2014
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Published on: Mar 1, 2015
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2015 Yves G. Berger, Juan F. Munoz, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.