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Volumn 115, Issue 2, 2003, Pages 521-542

Derivative estimation and testing in generalized additive models

Author keywords

Component analysis; Derivative estimation; Generalized additive models; Local polynomial estimator; Marginal integration

Indexed keywords


EID: 0037902274     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(02)00163-5     Document Type: Article
Times cited : (38)

References (28)
  • 1
    • 0000828930 scopus 로고
    • Additive interactive regression models: Circumvention of the curse of dimensionality
    • Andrews D.W.K. Whang Y.J. Additive interactive regression models: circumvention of the curse of dimensionality Econom. Theory 6 1990 466-479
    • (1990) Econom. Theory , vol.6 , pp. 466-479
    • Andrews, D.W.K.1    Whang, Y.J.2
  • 2
    • 1542637559 scopus 로고    scopus 로고
    • SiZer for exploration of structures in curves
    • Chaudhuri P. Marron J.S. SiZer for exploration of structures in curves J. Amer. Statist. Assoc. 94 1999 807-823
    • (1999) J. Amer. Statist. Assoc. , vol.94 , pp. 807-823
    • Chaudhuri, P.1    Marron, J.S.2
  • 3
    • 0038779056 scopus 로고    scopus 로고
    • A comparison of different nonparametric methods for inference on additive models
    • Working Paper 01-28, Carlos III de Madrid, Spain
    • Dette, H., von Liers und Wilkau, C., Sperlich, S., 2001. A comparison of different nonparametric methods for inference on additive models. Working Paper 01-28, Carlos III de Madrid, Spain.
    • (2001)
    • Dette, H.1    von Liers, A.2    Wilkau, C.3    Sperlich, S.4
  • 4
    • 0032359619 scopus 로고    scopus 로고
    • Direct estimation of low dimensional components in additive models
    • Fan J. Härdle W. Mammen E. Direct estimation of low dimensional components in additive models Ann. Statist. 26 1998 943-971
    • (1998) Ann. Statist. , vol.26 , pp. 943-971
    • Fan, J.1    Härdle, W.2    Mammen, E.3
  • 5
    • 0038441190 scopus 로고    scopus 로고
    • Testing additivity in generalized nonparametric regression models
    • Gozalo P.L. Linton O.B. Testing additivity in generalized nonparametric regression models J. Econom. 104 2001 1-48
    • (2001) J. Econom. , vol.104 , pp. 1-48
    • Gozalo, P.L.1    Linton, O.B.2
  • 6
    • 0001872520 scopus 로고
    • Central limit theorem for integrated square error of multivariate nonparametric density estimators
    • Hall P. Central limit theorem for integrated square error of multivariate nonparametric density estimators J. Multivariate Anal. 14 1984 1-16
    • (1984) J. Multivariate Anal. , vol.14 , pp. 1-16
    • Hall, P.1
  • 7
    • 21344496537 scopus 로고
    • Comparing nonparametric versus parametric regression fits
    • Härdle W. Mammen E. Comparing nonparametric versus parametric regression fits Ann. Statist. 21 1993 1926-1947
    • (1993) Ann. Statist. , vol.21 , pp. 1926-1947
    • Härdle, W.1    Mammen, E.2
  • 8
    • 0000958548 scopus 로고
    • Bootstrap simultaneous error bars for nonparametric regression
    • Härdle W. Marron J.S. Bootstrap simultaneous error bars for nonparametric regression Ann. Statist. 19 1991 778-796
    • (1991) Ann. Statist. , vol.19 , pp. 778-796
    • Härdle, W.1    Marron, J.S.2
  • 9
    • 4243951774 scopus 로고    scopus 로고
    • Bootstrap inference in semiparametric generalized additive models
    • Working Paper 00-70, Carlos III de Madrid, Spain
    • Härdle, H., Huet, S., Mammen, E., Sperlich, S., 2001. Bootstrap inference in semiparametric generalized additive models. Working Paper 00-70, Carlos III de Madrid, Spain.
    • (2001)
    • Härdle, H.1    Huet, S.2    Mammen, E.3    Sperlich, S.4
  • 12
    • 0002435105 scopus 로고
    • Estimation non-parametrique par noyaux: Regression polynomiale mobile
    • Lejeune M. Estimation non-parametrique par noyaux: regression polynomiale mobile Rev. Statist. Appl. XXXIII 1985 43-67
    • (1985) Rev. Statist. Appl. , vol.33 , pp. 43-67
    • Lejeune, M.1
  • 13
    • 0000346456 scopus 로고    scopus 로고
    • Estimation of additive regression models with known links
    • Linton O.B. Härdle W. Estimation of additive regression models with known links Biometrika 83 1996 529-540
    • (1996) Biometrika , vol.83 , pp. 529-540
    • Linton, O.B.1    Härdle, W.2
  • 14
    • 77956888636 scopus 로고
    • A kernel method of estimating structured nonparametric regression based on marginal integration
    • Linton O.B. Nielsen J.P. A kernel method of estimating structured nonparametric regression based on marginal integration Biometrika 82 1995 93-101
    • (1995) Biometrika , vol.82 , pp. 93-101
    • Linton, O.B.1    Nielsen, J.P.2
  • 15
    • 0000712557 scopus 로고
    • Bootstrap procedures under some non i.i.d. models
    • Liu R. Bootstrap procedures under some non i.i.d. models Ann. Statist. 16 1988 1696-1708
    • (1988) Ann. Statist. , vol.16 , pp. 1696-1708
    • Liu, R.1
  • 16
    • 0033233743 scopus 로고    scopus 로고
    • The existence and asymptotic properties of a backfitting projection algorithm under weak conditions
    • Mammen E. Linton O.B. Nielsen J.P. The existence and asymptotic properties of a backfitting projection algorithm under weak conditions Ann. Statist. 27 1999 1443-1490
    • (1999) Ann. Statist. , vol.27 , pp. 1443-1490
    • Mammen, E.1    Linton, O.B.2    Nielsen, J.P.3
  • 17
    • 38249028534 scopus 로고
    • Canonical kernels for density estimation
    • Marron J.S. Nolan D. Canonical kernels for density estimation Statist. Probab. Lett. 7 1988 195-199
    • (1988) Statist. Probab. Lett. , vol.7 , pp. 195-199
    • Marron, J.S.1    Nolan, D.2
  • 18
    • 0038102088 scopus 로고    scopus 로고
    • An optimization interpretation of integration and backfitting estimators for separable nonparametric models
    • Nielsen J.P. Linton O.B. An optimization interpretation of integration and backfitting estimators for separable nonparametric models J. Roy. Statist. Soc. Ser. B 60 1997 217-222
    • (1997) J. Roy. Statist. Soc. Ser. B , vol.60 , pp. 217-222
    • Nielsen, J.P.1    Linton, O.B.2
  • 19
    • 21844518517 scopus 로고
    • Multivariate locally weighted least squares regression
    • Ruppert D. Wand M.P. Multivariate locally weighted least squares regression Ann. Statist. 22 1994 1346-1370
    • (1994) Ann. Statist. , vol.22 , pp. 1346-1370
    • Ruppert, D.1    Wand, M.P.2
  • 20
    • 0345975459 scopus 로고    scopus 로고
    • Estimation of derivatives for additive separable models
    • Severance-Lossin E. Sperlich S. Estimation of derivatives for additive separable models Statistics 33 1999 241-265
    • (1999) Statistics , vol.33 , pp. 241-265
    • Severance-Lossin, E.1    Sperlich, S.2
  • 21
    • 0001681777 scopus 로고    scopus 로고
    • Integration and backfitting methods in additive models: Finite sample properties and comparison
    • Sperlich S. Linton O.B. Härdle W. Integration and backfitting methods in additive models: finite sample properties and comparison Test 8 1999 419-458
    • (1999) Test , vol.8 , pp. 419-458
    • Sperlich, S.1    Linton, O.B.2    Härdle, W.3
  • 22
    • 0036004262 scopus 로고    scopus 로고
    • Nonparametric estimation and testing of interaction in additive models
    • Sperlich S. Tjøstheim D. Yang L. Nonparametric estimation and testing of interaction in additive models Econom. Theory 18 2002 197-251
    • (2002) Econom. Theory , vol.18 , pp. 197-251
    • Sperlich, S.1    Tjøstheim, D.2    Yang, L.3
  • 23
    • 0001227575 scopus 로고
    • Additive regression and other nonparametric models
    • Stone C.J. Additive regression and other nonparametric models Ann. Statist. 13 1985 689-705
    • (1985) Ann. Statist. , vol.13 , pp. 689-705
    • Stone, C.J.1
  • 24
    • 0001719983 scopus 로고
    • The dimensionality reduction principle for generalized additive models
    • Stone C.J. The dimensionality reduction principle for generalized additive models Ann. Statist. 14 1986 90-606
    • (1986) Ann. Statist. , vol.14 , pp. 90-606
    • Stone, C.J.1
  • 25
    • 0346862811 scopus 로고
    • The use of polynomial splines and their tensor products in multivariate function estimation
    • Stone C.J. The use of polynomial splines and their tensor products in multivariate function estimation Ann. Statist. 22 1994 118-184
    • (1994) Ann. Statist. , vol.22 , pp. 118-184
    • Stone, C.J.1
  • 26
    • 84950953819 scopus 로고
    • Nonparametric identification of nonlinear time series: Projections
    • Tjøstheim D. Auestad B.H. Nonparametric identification of nonlinear time series: projections J. Amer. Statist. Assoc. 89 1994 1398-1409
    • (1994) J. Amer. Statist. Assoc. , vol.89 , pp. 1398-1409
    • Tjøstheim, D.1    Auestad, B.H.2
  • 27
    • 0001673027 scopus 로고
    • Jacknife, bootstrap and other resampling methods in regression analysis (with discussion)
    • Wu C.F.J. Jacknife, bootstrap and other resampling methods in regression analysis (with discussion) Ann. Statist. 14 1986 1261-1350
    • (1986) Ann. Statist. , vol.14 , pp. 1261-1350
    • Wu, C.F.J.1
  • 28
    • 0033479793 scopus 로고    scopus 로고
    • Multivariate bandwidth selection for local linear regression
    • Yang L. Tschernig R. Multivariate bandwidth selection for local linear regression J. Roy. Statist. Soc. Ser. B 61 1999 793-815
    • (1999) J. Roy. Statist. Soc. Ser. B , vol.61 , pp. 793-815
    • Yang, L.1    Tschernig, R.2


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