Cook's distance in local polynomial regression

Statistics and Probability Letters

Volumn 54, Issue 1, 2001, Pages 33-40

  Kim, Choongrak ^a   Lee, Yonjoo ^a   Park, Byeong U ^b  

^a Pusan National University   (South Korea)

^b Seoul National University   (South Korea)

Author keywords

Bandwidth; Cross validation; Influential observations; Kernel function; Local leverage; Local residual

Indexed keywords

EID: 0011019154     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(01)00031-1     Document Type: Article

References (17)

1. Atkinson A.C. Two graphical displays for outlying and influential observations in regression. Biometrika. 68:1981;13-20.
2. Cook R.D. Detection of influential observation in linear regression. Technometrics. 19:1977;15-18.
3. Cook R.D., Wang P.C. Transformations and influential cases in regression. Technometrics. 25:1983;337-343.
4. Eubank R.L. Diagnostics for smoothing splines. J. Roy. Statist. Soc. Ser. B. 47:1985;332-341.
5. Fan J., Gijbels I. Local Polynomial Modelling and Its Applications. 1996;Chapman & Hall, London.
6. Hastie T., Tibshirani R. Generalized Additive Models. 1990;Chapman & Hall, London.
7. Hinkley D.V., Wang S. More about transformations and influential cases in regression. Technometrics. 30:1988;435-440.
8. Kim C. Cook's distance in spline smoothing. Statist. Probab. Lett. 31:1996;139-144.
9. Kim C., Hwang S. Influential subsets on the variable selection. Comm. Statist. Theory Methods. 29:2000;335-347.
10. Kim C., Kim W. Some diagnostics results in nonparametric density estimation. Comm. Statist. Theory Methods. 27:1998;291-303.
11. Kim C., Storer B.E. Reference values for Cook's distance. Comm. Statist. Simulation Comput. 25:1996;691-709.
12. Kim C., Storer B.E., Jeong M. A note on Box-Cox transformation diagnostics. Technometrics. 38:1996;178-180.
13. Pregibon D. Logistic regression diagnostics. Ann. Statist. 9:1981;705-724.
14. Silverman B.W. Some aspects of the spline smoothing approach to non-parametric regression curve fitting (with discussion). J. Roy. Statist. Soc. Ser. B. 47:1985;1-52.
15. Simonoff J.S. Smoothing Methods in Statistics. 1996;Springer, New York.
16. Thomas W. Influence diagnostics for the cross-validated smoothing parameter in spline smoothing. J. Amer. Statist. Assoc. 86:1991;693-698.
17. Tsai C.L., Wu X. Diagnostics in transformation and weighted regression. Technometrics. 32:1990;315-322.