Local likelihood SiZer map

Sankhya: The Indian Journal of Statistics

Volumn 67, Issue 3, 2005, Pages 476-498

  Li, Runze ^a   Marron, J S ^b,c  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF NORTH CAROLINA   (United States)

^c University of North Carolina at Chapel Hill   (United States)

Author keywords

Confidence bands; Generalized linear models; Local likelihood; Local polynomials; Quasi likelihood; Significant features; SiZer map

Indexed keywords

EID: 33645451716     PISSN: 09727671     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. BICKEL, P.J. (1975). One-step Huber estimates in linear models. J. Amer. Statist. Assoc., 70, 428-433.
2. CAI, Z., FAN, J. and LI, R. (2000). Efficient estimation and inferences for varying-coefficient models. J. Amer. Statist. Assoc., 95, 888-902.
3. CHAUDHURI, P. and MARRON, J.S. (1999). SiZer for exploration of structures in curves. J. Amer. Statist. Assoc., 94, 807-823.
4. FAN, J. and CHEN, J. (1999). One-step local quasi-likelihood estimation, J. Roy. Statist. Soc. Ser. B, 61, 927-943.
5. FAN, J., FARMEN, M. and GIJBELS, I. (1998). Local Maximum Likelihood Estimation and Inference, J. Roy. Statist. Soc. Ser. B, 60, 591-608.
6. FAN, J. and GIJBELS, I. (1995). Data-driven bandwidth selection in local polynomial fitting: variable bandwidth and spatial adaptation. J. Roy. Statist. Soc. Ser. B, 57, 371-394.
7. FAN, J. and GIJBELS, I. (1996). Local Polynomial Modeling and Its Applications, Chapman and Hall, London.
8. FAN, J., HECKMAN, N.E. and WAND, M.P. (1995). Local polynomial kernel regression for generalized linear models and quasi-likelihood functions. J. Amer. Statist. Assoc., 90, 141-150.
9. FAN, J. and MARRON, J.S. (1994). Fast implementations of nonparametric curve estimators, J. Comput. Graph. Statist., 3, 35-56.
10. GASSER, T., KNEIP, A. and KÖHLER, W. (1991). A flexible and fast method for automatic smoothing. J. Amer. Statist. Assoc., 86, 643-652.
11. GHOSH, A. K., CHAUDHURI, P. and MURTHY, C.A. (2004). On visualization and aggregation of nearest neighbor. Manuscript.
12. GHOSH, A.K., CHAUDHURI, P. and SENGUPTA, D. (2004). Classification using kernel density estimates: multi-scale analysis and visualization. To appear in Technometrics.
13. GODTLIEBSEN, F., MARRON, J.S. and CHAUDHURI, P. (2002). Significance in scale space for bivariate density estimation. J. Comput. Graph. Statist., 11, 1-22.
14. HÄRDLE, W. (1990). Applied Nonparametric Regression. Cambridge University Press, Boston.
15. MCCULLAGH, P. and NELDER, J.A. (1989). Generalized Linear Models. 2nd ed. Chapman and Hall, London.
16. LINDEBERG, T. (1994). Scale-Space Theory in Computer Vision, Kluwer, Dordrecht.
17. RAKESH, R.R., CHAUDHURI, P. and MURTHY, C. A. (2004). Thresholding in edge detection: a statistical approach. IEEE Transaction on Image Processing. To appear.
18. RUPPERT, D., SHEATHER, S. J. and WAND, M.P. (1995). An effective bandwidth selector for local least squares regression. J. Amer. Statist. Assoc., 90, 1257-1270.
19. SHEATHER, S.J. and JONES, M.C. (1991). A reliable data-based bandwidth selection method for kernel density estimation. J. Roy. Statist. Soc. Ser. B, 53, 683-690.
20. SIMONOFF, J.S. (1996). Smoothing Methods in Statistics, Springer, New York.
21. TER HAAR ROMENY, B.M. (2001). Front-End Vision and Multiscale Image Analysis, Kluwer, Dordrecht.
22. TIBSHIRANI, R. and HASTIE, T.J. (1987). Local likelihood estimation. J. Amer. Statist. Assoc., 82, 559-567.
23. WEDDERBURN, R.W.M. (1974). Quasi-likelihood functions, generalized linear models and the Gauss-Newton method, Biometrika, 61, 439-447.