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REGRESSION ANALYSIS

Some Uniform Limit Results in Additive Regression Model

Pages 3090-3114 | Received 16 Apr 2007, Accepted 18 Mar 2008, Published online: 15 Aug 2008

References

  • Ango-Nze , P. , Rios , R. ( 2000 ). Density estimation in L ∞ norm for mixing processes . J. Statist. Plann. Infer. 83 ( 1 ): 75 – 90 .
  • Camlong-Viot , C. , Sarda , P. , Vieu , P. ( 2000 ). Additive time series: the kernel integration method . Math. Meth. Statist. 9 ( 4 ): 358 – 375 .
  • Debbarh , M. ( 2004 ). Loi du logarithme itéré pour les composantes du modèle additif de régression . C. R. Math. Acad. Sci. Paris 339 ( 10 ): 717 – 720 .
  • Deheuvels , P. , Mason , D. ( 2004 ). General confidence bounds for nonparametric functional estimators . Statist. Inf. for Stoch. Proc. 7 : 225 – 277 .
  • Einmahl , U. , Mason , D. M. ( 2000 ). An empirical process approach to the uniform consistency of kernel-type function estimators . J. Theoret. Probab. 13 ( 1 ): 1 – 37 .
  • Giné , E. , Guillou , A. ( 2002 ). Rates of strong uniform consistency for multivariate kernel density estimators . Ann. I. H. Poincaré 38 ( 6 ): 907 – 921 .
  • Hastie , T. , Tibshirani , R. ( 1986 ). Generalized additive models . Statist. Sci. 1 ( 3 ): 297 – 318 .
  • Linton , O. , Nielsen , J. P. ( 1995 ). A kernel method of estimating structured nonparametric regression based on marginal integration . Biometrika 82 ( 1 ): 93 – 100 .
  • Newey , W. K. ( 1994 ). Kernel estimation of partial means and a general variance estimator . Econometric Theor. 10 ( 2 ): 233 – 253 .
  • Nolan , D. , Pollard , D. ( 1987 ). U-processes: rates of convergence . Ann. Statist. 15 : 780 – 799 .
  • Pollard , D. ( 1984 ). Convergence of Stochastic Processes . New York : Springer-Verlag .
  • Sperlich , S. , Linton , O. B. , Hardle , W. (1999). Integration and backfitting methods in additive models: Finite sample properties and comparison. Test 8:419–458.
  • Sperlich , S. , Tj⊘stheim , D. , Yang , L. ( 2002 ). Nonparametric estimation and testing of interaction in additive models . Econometric Theor. 18 ( 2 ): 197 – 251 .
  • Stone , C. J. ( 1985 ). Additive regression and other nonparametric models . Ann. Statist. 13 ( 2 ): 689 – 705 .
  • Talagrand , M. ( 1994 ). Sharper bounds for gaussian and empirical processes . Ann. Probab. 22 ( 1 ): 28 – 76 .
  • Tj⊘stheim , D. , Auestad , B. H. ( 1994 ). Nonparametric identification of nonlinear time series: projections . J. Amer. Statist. Assoc. 89 ( 428 ): 1398 – 1409 .

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