Estimation of the CDF of a finite population in the presence of a calibration sample

Environmental and Ecological Statistics

Volumn 5, Issue 3, 1998, Pages 277-289

  Luo, Ming ^a   Stokes, Lynne ^b   Sager, Thomas ^b  

^a First Data Analytics   (United States)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Distribution function; Finite population; Measurement error; Two phase sampling

Indexed keywords

EID: 0006944268     PISSN: 13528505     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009677504572     Document Type: Article

References (18)

1. Carroll, R.J. and Hall, P. (1988) Optimal rates of convergence for deconvolving a density. Journal of the American Statistical Association 83, 1184-86.
2. Chambers, R.L. and Dunstan, R. (1986) Estimating distribution functions from survey data. Biometrika, 73, 597-604.
3. Cochran, W.G. (1977) Sampling Techniques, John Wiley & Sons, New York.
4. Cohen, T. and Spencer, B.D. (1991) Shrinking weights for unequal probability samples. Proceedings of the American Statistical Association, Survey Research Section, 625-30.
5. Cook, J.R. and Stefanski, L.A. (1994) Simulation-extrapolation estimation in parametric measurement error models. Journal of the American Statistical Association, 89(428), 1314-28.
6. Dorfman, A.H. (1993) A comparison of design-based and model-based estimators of the finite population distribution function. Australian Journal of Statistics, 35(1), 29-41.
7. Fan, J. (1992) Deconvolution with supersmooth distributions. Canadian Journal of Statistics 20, 155-69.
8. Kuk, A.Y.C. (1989) Estimation of distribution functions and medians under sampling with unequal probabilities. Biometrika, 75, 97-103.
9. Kuk, A.Y.C. (1993) A kernel method for estimating finite population distribution functions using auxiliary information. Biometrika, 80, 385-92.
10. Kuk, A.Y.C. & Mak, T.K. (1989) Median estimation in the presence of auxiliary information. Journal of the Royal Statistical Society (B), 51, 261-69.
11. Masry, E. and Rice, J.A. (1992) Gaussian deconvolution via differentiation. Canadian Journal of Statistics 20, 9-21.
12. Nusser, S.M., Carriquiry, A.L., Dodd, K.W. and Fuller, W.A. (1996) A seminparametric transformation approach to estimating usual daily intake distributions. Journal of the American Statistical Association, 91, 1440-49.
13. Rao, J.N.K., Kovar, J.G. and Mantel, H.J. (1990) On estimating distribution functions and quantiles from survey data using auxiliary information. Biometrika, 77, 365-75.
14. Sarndal, C., Swensson, B., and Wretman J. (1992) Model Assisted Survey Sampling. Springer-Verlag, New York.
15. Stefanski, L.A. and Carroll, R.J. (1990) Deconvolving kernel density estimators. Statistics, 21, 169-84.
16. Stefanski, L.A. and Bay, J.M. (1996) Simulation extrapolation deconvolution of finite population cumulative distribution function estimators. Biometrika, 83, 407-17.
17. Stenfanski, L.A. and Cook, J.R. (1995) Simulation-extrapolation: the measurement error jacknife. Journal of the American Statistical Association, 90(432), 1247-56.
18. Wolter, Kirk M. (1985) Introduction to Variance Estimation, Springer-Verlag, New York.