Censored Regression Quantiles

Journal of the American Statistical Association

Volumn 98, Issue 464, 2003, Pages 1001-1012

  Portnoy, Stephen ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Accelerated failure time; Bahadur representation; Censored data; Cox proportional hazard; Kaplan Meier; Regression quantiles

Indexed keywords

EID: 1142277399     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214503000000954     Document Type: Article

References (30)

1. Bilias, Y., Chen, S., and Ying, Z. (2000), "Simple Resampling Methods for Censored Regression Quantiles," Journal of Econometrics, 99, 373-386.
2. Bose, A., and Chatterjee, S. (2001), "Generalized Bootstrap in Non-Regular M -Estimation Problems," Statistics and Probability Letters, 55, 319-328.
3. Buchinsky, M., and Hahn, J. (1998), "A Alternative Estimator for Censored Quantile Regression," Econometrica, 66, 653-671.
4. Chernozhukov, V., and Hong, H. (2001), "Three-Step Censored Quantile Regression and Extramarital Affairs," Journal of the American Statistical Association, 872-882.
5. Dasgupta, R. (1984), "On Large Deviation Probabilities of U -Statistics in Non IID Case, Sankhyā, Ser. A, 46, 110-116.
6. Efron, B. (1967), "The Two-Sample Problem With Censored Data," in Proc. Fifth Berkeley Symposium in Mathematical Statistics, IV, eds. L. Le Cam and J. Neyman, New York: Prentice-Hall, pp. 831-853.
7. Fitzenberger, B. (1997), "A Guide to Censored Quantile Regressions," in Handbooks of Statistics: Robust Inference, Vol. 15, eds. G. S. Maddala and C. R. Rao, Amsterdam: North-Holland, pp. 405-437.
8. Gutenbrunner, C., Jurečková, J., Koenker, R., and Portnoy, S. (1993), "Tests of Linear Hypotheses Based on Regression Rank Scores," Journal of Nonparametric Statistics, 2, 302-333.
9. He, X., and Hu, F. (2002), "Markov Chain Marginal Bootstrap," Journal of the American Statistical Association, 97, 783-795.
10. Hoeffding, W. (1963), "Probability Inequalities for Sums of Bounded Random Variables," Journal of the American Statistical Association, 58, 13-30.
11. Honoré, B., Khan, S., and Powell, J. (2002), "Quantile Regression Under Random Censoring," Journal of Econometrics, 109, 67-105.
12. Hosmer, D., and Lemeshow, S. (1999), Applied Survival Analysis: Regression Modelling of Time to Event Data, New York: Wiley.
13. Kocherginsky, M., He, X., and Mu, Y. (2003), "Practical Confidence Intervals for Regression Quantiles," preprint.
14. Koenker, R., and Bassett, G. (1978), "Regression Quantiles," Econometrica, 46, 33-50.
15. Koenker, R., and d'Orey, V. (1987), "Computing Regression Quantiles," Applied Statistics, 36, 383-393.
16. Koenker, R., and Geling, O. (2001), "Reappraising Medfly Longevity: A Quantile Regression Survival Analysis," Journal of the American Statistical Association, 96, 458-468.
17. Koenker, R., and Hallock, K. (2001), "Quantile Regression: An Introduction," Journal of Economic Perspectives, 15, 143-156.
18. Koenker, R., and Xiao, Z. (2001), "Inference on the Quantile Regression Process," Econometrika, 70, 1583-1612.
19. 1 Minimization," Computational Statistics and Data Analysis, 23, 509-524.
20. Newey, W., and Powell, J. (1990), "Efficient Estimation of Linear and Type I Censored Regression Models Under Conditional Quantile Restrictions," Econometric Theory, 6, 295-317.
21. Portnoy, E. (1996), "Regression-Quantile Graduation of Australian Life Tables," Actuarial Research Clearing House, 1997.1, 269-291.
22. Portnoy, S. (1991a), "Behavior of Regression Quantiles in Non-Stationary, Dependent Cases," Journal of Muliivariate Analysis, 38, 100-113.
23. _ (1991b), "Asymptotic Behavior of the Number of Regression Quantile Breakpoints," SIAM Journal on Scientific and Statistical Computing, 12, 867-883.
24. Portnoy, S., and Koenker, R. (1997), "The Gaussian Hare and the Laplacian Tortoise: Computability of Squared-Error vs. Absolute-Error Estimators," Statistical Science, 12, 279-300.
25. Powell, J. (1986), "Censored Regression Quantiles," Journal of Econometrics, 32, 143-155.
26. Reid, N. (1994), "A Conversation With Sir David Cox," Statistical Science, 9, 439-455.
27. Robins, J. M., and Ritov, Y. (1997), "A Curse of Dimensionality Appropriate (CODA) Asymptotic Theory for Semiparametric Models," Statistics in Medicine, 16, 285-319.
28. Yang, S. (1999), "Censored Median Regression Using Weighted Empirical Survival and Hazard Functions," Journal of the American Statistical Association, 94, 137-145.
29. Ying, Z., Jung, S. H., and Wei, L. J. (1995), "Survival Analysis With Median Regression Models," Journal of the American Statistical Association, 90, 178-184.
30. Zhou, Q., and Portnoy, S. (1998), "Statistical Inference on Heteroscedastic Models Based on Regression Quantiles," Journal of Nonparametric Statistics, 9, 239-260.