Some properties of A lack-of-fit test for a linear errors in variables model

Acta Mathematicae Applicatae Sinica

Volumn 20, Issue 4, 2004, Pages 533-540

  Zhu, Li Xing ^a,b   Cui, Heng Jian ^c   Ng, K W ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

^b CHINESE ACADEMY OF SCIENCES   (China)

^c BEIJING NORMAL UNIVERSITY   (China)

Author keywords

Conditional expectation; Linear errors in variables model; Model checking; Weight score test

Indexed keywords

EID: 30744459644     PISSN: 01689673     EISSN: 16183932     Source Type: Journal    
DOI: 10.1007/s10255-004-0190-y     Document Type: Article

References (20)

1. Anderson, T.W. Estimating linear statistical relationships. Ann. Statist., 12: 1-45 (1984)
2. Carroll, R.J., Ruppert, D. and Stefanski, L. A. Measurement error on nonlinear models. Monographs on statistics and applied probability, Chapman & Hall, 1995
3. Cook, R.D., Weisberg, S. Residual and influence in regression. Chapman and Hall, New York, 1982
4. Eubank, R.L., Hart, J.D. Commonality of cusum, von Neumann and smoothing-based goodness-of-fit tests. Biometrika, 80: 89-98 (1993)
5. Eubank, R.L., Spiegelman, C.H. Testing the goodness of fit of a linear model via nonparametric regression techniques. J. Amer. Statist. Assoc., 85: 387-392 (1990)
6. Fuller, W.A. Measurement error models. John Wiley, New York, 1987
7. Hall, P., Hart, J.D. Bootstrap test for difference between means in nonparametric regression, J. Amer. Statist. Assoc., 85: 1039-1049 (1990)
8. Härdle, W., Mammen, E. Comparing non-parametric versus parametric regression fits. Ann. Statist., 21: 1926-1947 (1993)
9. Härdle, W., Mammen, E., Müller, M. Testing parametric versus semiparametric modeling in generalized linear models. J. Amer. Statist. Assoc., 93: 1461-1474 (1998)
10. Hart, J.D. Nonparametric Smoothing and lack-of-fit tests. Springer Series in Statistics, New York, 1997
11. He, X., Ng, P. Quantile splines with several covariates. J. Statist. Plann. Inference, 75: 343-352 (1999)
12. He, X., Zhu, L.X. A lack-of-fit test for quantile regression. Journal of the American Statistical Association, 98: 1013-1022 (2003)
13. King, E. Testing the equality of two regression curves using linear smoothers. Statistics and Probability Letters, 12: 239-247 (1991)
14. Müller, H.G. Goodness-of-fit diagnostic for regression models. Scand. J. Statist., 19: 157-172 (1993)
15. Stute, W. Nonparametric model checks for regression. Ann. Statist., 25: 613-641 (1997)
16. Stute, W., Manteiga, G., Quindimil, M.P. Bootstrap approximations in model checks for regression. J. Amer. Statist. Asso., 93: 141-149 (1998)
17. Stute, W., Thies, S., Zhu, L.X. Model checks for regression: An innovation process approach. Ann. Statist., 26: 1916-1934 (1998)
18. Stute, W., Zhu, L.X. Model checks for generalized linear models. Scan. J. Statist., 29: 535-546 (2002)
19. Zhu, L.X. Model checking of dimension-reduction type for regression. Statist. Sinica, 13: 283-296 (2003)
20. Zhu, L.X., Ng, K.W. Checking the adequacy of a partial linear model. Statist. Sinica, 13: 763-781 (2003)