Additive expectancy regression

Journal of the American Statistical Association

Volumn 102, Issue 477, 2007, Pages 153-166

  Chen, Ying Qing ^a  

^a Fred Hutchinson Cancer Research Center   (United States)

Author keywords

Additive models; Expectancy function; Positively skewed outcomes; Semiparametric methods

Indexed keywords

EID: 33947266123     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214506000000870     Document Type: Article

References (30)

1. Allison, T., and Cicchetti, D. V. (1976), "Sleep in Mammals: Ecological and Constitutional Correlates," Science, 194, 732-734.
2. Arias, E. (2006), "United States Life Tables. 2003," National Vital Statistics Reports, 54, 2-3.
3. Barrett, J., and Goldsmith, L. (1976). "When Is n Sufficiently Large?" The American Statistician, 30, 67-70.
4. Box, G. E. P., and Cox, D. R. (1964), "An Analysis of Transformations," Journal of the Royal Statistical Society, Ser. B, 26, 211-252.
5. Chen, Y. Q., and Jewell, N. P. (2001), "On a General Class of Hazards Regression Models," Biometrika, 88, 687-702.
6. Chiang, C. L. (1960), "A Stochastic Study of the Life Table and Its Applications: I. Probability Distributions of the Biometrie Functions." Biometrics, 16, 618-635.
7. Cox, D. R. (1972), "Regression Models and Life-Tables" (with discussion), Journal of the Royal Statistical Society, Ser. B, 34, 187-220.
8. Dabrowska, D. M., and Doksum, K. A. (1987), "Estimates and Confidence Intervals for Median and Mean Life in the Proportional Hazard Model," Biometrika, 74, 799-807.
9. Dominici, F., Cope, L., Naiman, D. Q., and Zeger, S. L. (2005), "Smooth Quantile Ratio Estimation," Biometrika, 92, 543-557.
10. Duan, N. (1983), "Smearing Estimate: A Nonparametric Retransformation Methods," Journal of the American Statistical Association, 78, 605-610.
11. Etzioni, R. D., Feuer, E. J., Sullivan, S. D., Lin, D. Y., Hu, C., and Ramsey, S. D. (1999), "On the Use of Survival Analysis Techniques to Estimate Medical Care Costs," Journal of Health Economics, 18, 365-380.
12. Fenn, P., McGuire, A., Backhouse, M., and Jones, D. (1996), "Modelling Programme Costs in Economic Evaluation," Journal of Health Economics, 15, 115-125.
13. Gayen, A. (1949). "The Distribution of Student t in Random Samples of Any Size Drawn From Non-Normal Universe," Biometrika, 36, 353-369.
14. Grambsch, P. M., and Therneau, T. M. (1994), "Proportional Hazards Tests and Diagnostics Based on Weighted Residuals," Biometrika, 81, 515-526.
15. Guess, F., and Proschan, F. (1988), "Mean Residual Life: Theory and Application," in Handbook of Statistics, Vol. 7, eds. P. R. Krishnaiah and C. R. Rao, New York: North-Holland, pp. 215-224.
16. Gumbel, E. I. (1924), "Eine Darstellung der Sterbetafel," Biometrika, 16, 283-296.
17. Hall, W. J., and Wellner, J. A. (1984), "Mean Residual Life," in Proceedings of the International Symposium on Statistics and Related Topics, eds. M. Csorgo, D. A. Dawson, J. N. K. Rao, and A. K. Md. E. Saleh, Amsterdam: North-Holland, pp. 169-184.
18. Hastie, T. J., and Tibshirani, R. J. (1990), Generalized Additive Models, New York: CRC Press.
19. Johnson, N. (1978), "Modified t Tests and Confidence Intervals for Asymmetrical Populations," Journal of the American Statistical Association, 73, 536-544.
20. Kalbfleisch, J. D., and Prentice, R. L. (2002), The Statistical Analysis of Failure Time Data (2nd ed.), New York: Wiley.
21. Lin, D. Y., Fleming, T. R., and Wei, L. J. (1994), "Confidence Bands for Survival Curves Under the Proportional Hazards Model," Biometrika, 81, 73-81.
22. Maguluri, G., and Zhang, C.-H. (1994), "Estimation in the Mean Residual Life Regression Model," Journal of the Royal Statistical Society, Ser. B, 56, 477-489.
23. McCullagh, P., and Neider, J. A. (1989), Generalized Linear Models (2nd ed.), London: Chapman & Hall.
24. Oakes, D., and Dasu, T. (1990), "A Note on Residual Life," Biometrika, 77, 409-410.
25. O'Brien, P. C. (1988), "Comparing Two Samples: Extension of the t, Rank Sum, and Log-Rank Tests," Journal of the American Statistical Association, 83, 52-61.
26. Rao, C. R. (2001), Linear Statistical Inference and Its Applications (2nd ed.). New York: Wiley.
27. Therneau, T. M., and Grambsch, P. (2000), Modeling Survival Data: Extending the Cox Model, New York: Springer-Verlag.
28. Weisberg, S. (2005), Applied Linear Regression (3rd ed.), New York: Wiley.
29. Yang, G. L. (1978), "Estimation of a Biometric Function," The Annals of Statistics, 6, 112-116.
30. Zhou, X. H., and Dinh, P. (2005), "Nonparametric Confidence Intervals for the One- and Two-Sample Problems," Biostatistics, 6, 187-200.