Imputation methods for quantile estimation under missing at random

Statistics and its Interface

Volumn 6, Issue 3, 2013, Pages 369-377

  Yang, Shu ^a   Kim, Jae Kwang ^a   Shin, Dong Wan ^b  

^a E005A Lagomarcino Hall   (United States)

^b Ewha Womans University   (South Korea)

Author keywords

Bahadur representation; Estimating equation; Fractional hot deck imputation; Jackknife variance estimator; Linearization method; Nonparametric imputation; Woodruff variance

Indexed keywords

EID: 84885127414     PISSN: 19387989     EISSN: 19387997     Source Type: Journal    
DOI: 10.4310/SII.2013.v6.n3.a7     Document Type: Article

References (17)

1. Bahadur, R. R. (1966). A note on quantiles in large samples. Annals of Mathematical Statistics, 37, 577-580. MR0189095
2. Brick, J. M. and Kalton, G. (1996). Handling missing data in survey research. Statistical Methods in Medical Research, 5, 215-238.
3. Cheng, P. E. (1994). Nonparametric estimation of mean functionals with data missing at random. Journal of the American Statistical Association, 89, 81-87.
4. Fay R. E. (1996). Alternative paradigms for the analysis of imputed survey data. Journal of the American Statistical Association, 91, 490-498.
5. Little, R. J. A. and Rubin, D. B. (2002). Statistical Analysis with Missing Data (2nd ed.). Wiley-Interscience. MR1925014
6. Meng, X. L. (1994). Multiple-imputation inferences with uncongenial sources of input (with discussion). Statistical Science, 9, 538-573.
7. Milliken, G. A. and Johnson, D. E. (2002). Analysis of Messy Data: Analysis of Covariance. Chapman and Hall/CRC.
8. Nadaraya, E. A. (1964). On estimating regression. Theory of Probability and its Applications, 9(1), 141-142.
9. Kalton, G. and Kish, L. (1984). Some efficient random imputation methods. Communications in Statistics-Theory and Methods, 13, 1919-1939.
10. Kim, J. K. (2004). Finite sample properties of multiple imputation estimators. The Annals of Statistics, 32, 766-783. MR2060177
11. Kim, J. K. (2011). Parametric fractional imputation for missing data analysis. Biometrika, 98, 119-132. MR2804214
12. Kim, J. K. and Fuller, W. (2004). Fractional hot deck imputation. Biometrika, 91, 559-578. MR2090622
13. Kim, J. K. and Yu, C. Y. (2011). A semi-parametric estimation of mean functional with non-ignorable missing data. Journal of the American Statistical Association, 106, 157-165. MR2816710
14. Rubin, D. B. (1987). Multiple Imputation for Nonresponse in Surveys. New York: Wiley. MR0899519
15. Schenker, N. and Welsh, A. H. (1988). Asymptotic results for multiple imputation. Annals of Statistics, 16, 1550-1566. MR0964938
16. Watson, G. S. (1964). Smooth regression analysis. Sankhya: The Indian Journal of Statistics, Series A, 26(4), 359-372. MR0185765
17. Woodruff, R. S. (1952). Confidence intervals for medians and other position measures. Journal of the American Statistical Association, 47, 635-646. MR0050845