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Volumn 35, Issue 1, 2007, Pages 300-323

Nonparametric estimation when data on derivatives are available

Author keywords

Cost function estimation; Dimension reduction; Kernel methods; Nonparametric regression; Partial derivative data; Rates of convergence; Statistical smoothing

Indexed keywords


EID: 49449105146     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053606000001127     Document Type: Article
Times cited : (13)

References (26)
  • 1
    • 0041857920 scopus 로고    scopus 로고
    • Nonparametric estimators which can be "plugged-in
    • BICKEL, P. and RITOV, Y. (2003). Nonparametric estimators which can be "plugged-in". Ann. Statist. 31 1033-1053.
    • (2003) Ann. Statist , vol.31 , pp. 1033-1053
    • BICKEL, P.1    RITOV, Y.2
  • 3
    • 0000014224 scopus 로고
    • Linear smoothers and additive models (with discussion)
    • BUJA, A., HASTIE, T. and TIBSHIRANI, R. (1989). Linear smoothers and additive models (with discussion). Ann. Statist. 17 453-555.
    • (1989) Ann. Statist , vol.17 , pp. 453-555
    • BUJA, A.1    HASTIE, T.2    TIBSHIRANI, R.3
  • 4
    • 0002531537 scopus 로고
    • Projection-based approximation and a duality with kernel methods
    • DONOHO, D. L. and JOHNSTONE, I. M. (1989). Projection-based approximation and a duality with kernel methods. Ann. Statist. 17 58-106.
    • (1989) Ann. Statist , vol.17 , pp. 58-106
    • DONOHO, D.L.1    JOHNSTONE, I.M.2
  • 6
    • 0032359619 scopus 로고    scopus 로고
    • Direct estimation of low-dimensional components in additive models
    • FAN, J., HÄRDLE, W. and MAMMEN, E. (1998). Direct estimation of low-dimensional components in additive models. Ann. Statist. 26 943-971.
    • (1998) Ann. Statist , vol.26 , pp. 943-971
    • FAN, J.1    HÄRDLE, W.2    MAMMEN, E.3
  • 8
    • 0002432565 scopus 로고
    • Multivariate adaptive regression splines (with discussion)
    • FRIEDMAN, J. H. (1991). Multivariate adaptive regression splines (with discussion). Ann. Statist. 19 1-141.
    • (1991) Ann. Statist , vol.19 , pp. 1-141
    • FRIEDMAN, J.H.1
  • 10
    • 85011932500 scopus 로고
    • Production Economics: A Dual Approach to Theory and Applications 1
    • FUSS, M. and MCFADDEN, D, eds, North-Holland, Amsterdam
    • FUSS, M. and MCFADDEN, D., eds. (1978). Production Economics: A Dual Approach to Theory and Applications 1. The Theory of Production. North-Holland, Amsterdam.
    • (1978) The Theory of Production
  • 11
    • 84972488102 scopus 로고
    • Generalized additive models (with discussion)
    • HASTIE, T. and TIBSHIRANI, R. (1986). Generalized additive models (with discussion). Statist. Sci. 1 297-318.
    • (1986) Statist. Sci , vol.1 , pp. 297-318
    • HASTIE, T.1    TIBSHIRANI, R.2
  • 12
  • 13
    • 0000263797 scopus 로고
    • Projection pursuit (with discussion)
    • HUBER, P. J. (1985). Projection pursuit (with discussion). Ann. Statist. 13 435-525.
    • (1985) Ann. Statist , vol.13 , pp. 435-525
    • HUBER, P.J.1
  • 14
    • 56349083120 scopus 로고
    • Econometric methods for modeling producer behavior
    • Z. Griliches and M. D. Intriligator, eds, North-Holland, Amsterdam. 1986
    • JORGENSON, D. (1986). Econometric methods for modeling producer behavior. In Handbook of Econometrics 3 (Z. Griliches and M. D. Intriligator, eds.) 1841-1915. North-Holland, Amsterdam.
    • (1841) Handbook of Econometrics , vol.3
    • JORGENSON, D.1
  • 15
    • 77956888636 scopus 로고
    • A kernel method of estimating structured nonparametric regression based on marginal integration
    • LINTON, O. and NIELSEN, J. (1995). A kernel method of estimating structured nonparametric regression based on marginal integration. Biometrika 82 93-100.
    • (1995) Biometrika , vol.82 , pp. 93-100
    • LINTON, O.1    NIELSEN, J.2
  • 16
    • 33645583062 scopus 로고    scopus 로고
    • Nonlinear adaptive control using nonparametric Gaussian process prior models
    • Barcelona
    • MURRAY-SMITH, R. and SBARBARO, D. (2002). Nonlinear adaptive control using nonparametric Gaussian process prior models. In 15th IFAC World Congress on Automatic Control 21-26. Barcelona.
    • (2002) 15th IFAC World Congress on Automatic Control , pp. 21-26
    • MURRAY-SMITH, R.1    SBARBARO, D.2
  • 20
    • 0000439527 scopus 로고
    • Optimal rates of convergence for nonparametric estimators
    • STONE, C. J. (1980). Optimal rates of convergence for nonparametric estimators. Ann. Statist. 8 1348-1360.
    • (1980) Ann. Statist , vol.8 , pp. 1348-1360
    • STONE, C.J.1
  • 21
    • 0000439527 scopus 로고
    • Optimal global rates of convergence for nonparametric regression
    • STONE, C. J. (1982). Optimal global rates of convergence for nonparametric regression. Ann. Statist. 10 1040-1053.
    • (1982) Ann. Statist , vol.10 , pp. 1040-1053
    • STONE, C.J.1
  • 22
    • 0001227575 scopus 로고
    • Additive regression and other nonparametric models
    • STONE, C. J. (1985). Additive regression and other nonparametric models. Ann. Statist. 13 689-705.
    • (1985) Ann. Statist , vol.13 , pp. 689-705
    • STONE, C.J.1
  • 26
    • 49449094124 scopus 로고    scopus 로고
    • Recursive partitioning and tree-based methods
    • J. E. Gentle, W. Härdle and Y. Mori, eds, Springer, Berlin
    • ZHANG, H. (2004). Recursive partitioning and tree-based methods. In Handbook of Computational Statistics (J. E. Gentle, W. Härdle and Y. Mori, eds.) 813-840. Springer, Berlin.
    • (2004) Handbook of Computational Statistics , pp. 813-840
    • ZHANG, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.