Model checking of dimension-reduction type for regression

Statistica Sinica

Volumn 13, Issue 2, 2003, Pages 283-296

  Zhu, Li Xing ^a,b  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

^b INSTITUTE OF APPLIED MATHEMATICS   (China)

Author keywords

Bootstrap approximation; Dimension reduction; Empirical process; Model checking; Residual plot

Indexed keywords

EID: 0038383116     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. Buckley, M. J. (1991). Detecting a smooth signal: optimality of cusum based on procedures. Biometrika 78, 253-262.
2. Dawkins, B. (1989). Multivariate analysis of national track records. Amer. Statist. 43, 110-112.
3. Eubank, R. L. and Hart, J. D. (1993). Commonality of cusum, von Neumann and smoothing-based goodness-of-fit tests. Biometrika 80, 89-98.
4. Gaenssler, P. (1983). Empirical Processes. Lecture Notes-Monograph Series 3: Institute of Mathematical Statistics, Hayward, California.
5. Härdle, W. and Mammen, E. (1993). Comparing non-parametric versus parametric regression fits. Ann. Statist. 21, 1926-1947.
6. Hart, J. D. (1997). Nonparametric Smoothing and Lack-of-fit Tests. Springer, New York.
7. Koul, H. L. (1992). Weighted Empiricals and Linear Models. Lecture Notes - Monograph Series, 21. Institute of Mathematical Statistics, Hayward, California.
8. Liu, R. Y. (1988). Bootstrap procedures under some non-i.i.d. models. Ann. Statist. 16, 1696-1708.
9. Müller, H. G. (1992). Goodness-of-fit diagnostics for regression models. Scand. J. Statist. 19, 157-172.
10. Naik, D. N. and Khattree, R. (1996). Revisiting Olympic track records: Some practical considerations in the principal component analysis. Amer. Statist. 50, 140-144.
11. Pollard, D. (1984). Convergence of Stochastic Processes. Springer-Verlag, New York.
12. Stute, W. (1997). Non-parametric model checks for regression. Ann. Statist. 25, 613-641.
13. Stute, W. and Manteiga, G. W. (1995). NN goodness-of-fit tests for linear models. J. Statist.Plann. Inference 53, 75-92.
14. Stute, W., Manteiga, G. W. and Quindimil, M. P. (1998). Bootstrap approximations in model checks for regression. J. Amer. Statist. Assoc. 93, 141-149.
15. Stute, W., Thies, G. and Zhu, L. X. (1998). Model checks for regression: An innovation approach. Ann. Statist. 26, 1916-1934.
16. Su, J. Q. and Wei, L. J.(1991). A lack-of-fit test for the mean function in a generalized linear model. J. Amer. Statist. Assoc. 86, 420-426.
17. Wu, C. F. J. (1986). Jackknife, bootstrap and other re-sampling methods in regression analysis. Ann. Statist. 14, 1261-1295.