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Volumn 14, Issue 2, 1998, Pages 165-175

Dimension-reduction type test for linearity of a stochastic regression model

Author keywords

Kernel estimate; Number theoretic method; Projection pursuit; Regression model; Test of linearity

Indexed keywords


EID: 54649084906     PISSN: 01689673     EISSN: 16183932     Source Type: Journal    
DOI: 10.1007/bf02677423     Document Type: Article
Times cited : (14)

References (21)
  • 1
    • 0001390272 scopus 로고
    • A Kolmogorov-Smirnov type statistic with application to test for nonlinearity in time series
    • H.Z. An and B. Chen. A Kolmogorov-Smirnov Type Statistic with Application to Test for Nonlinearity in Time Series, international Statistical Review, 1991, 59: 287-307.
    • (1991) International Statistical Review , vol.59 , pp. 287-307
    • An, H.Z.1    Chen, B.2
  • 2
    • 84950429607 scopus 로고
    • Measurement error regression with unknown link: Dimension reduction and data visualization
    • R.J. Carroll and K.C. Li. Measurement Error Regression with Unknown Link: Dimension Reduction and Data Visualization. J. Amer. Statist. Assoc., 1992, 87: 1040-1050.
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 1040-1050
    • Carroll, R.J.1    Li, K.C.2
  • 6
    • 0002989306 scopus 로고
    • Commonalty of Cusum, von Neumann and smoothing-based goodness-of-fit tests
    • R.L. Eubank and J.D. Hart. Commonalty of Cusum, von Neumann and Smoothing-based Goodness-of-fit Tests. Biometrika, 1993, 80: 89-98.
    • (1993) Biometrika , vol.80 , pp. 89-98
    • Eubank, R.L.1    Hart, J.D.2
  • 7
    • 84950450933 scopus 로고
    • Testing the goodness of fit of a linear model via nonparametric regression techniques
    • R.L. Eubank and C.H. Speiegelman. Testing the Goodness of Fit of a Linear Model via Nonparametric Regression Techniques. J. Amer. Statist. Assoc., 1990, 85: 387-392.
    • (1990) J. Amer. Statist. Assoc. , vol.85 , pp. 387-392
    • Eubank, R.L.1    Speiegelman, C.H.2
  • 9
    • 21344496537 scopus 로고
    • Comparing nonparametric versus parametric regression fits
    • W. Härdle and E. Mammen. Comparing Nonparametric Versus Parametric Regression Fits. Annals of Statistics, 1993, 21: 1926-1947.
    • (1993) Annals of Statistics , vol.21 , pp. 1926-1947
    • Härdle, W.1    Mammen, E.2
  • 10
    • 0002470428 scopus 로고
    • Investigating smooth multiple regression by the method of average derivatives
    • W. Härdle and T.M. Stoker. Investigating Smooth Multiple Regression by the Method of Average Derivatives. J. Amer. Statist. Assoc, 1989, 84: 986-995.
    • (1989) J. Amer. Statist. Assoc. , vol.84 , pp. 986-995
    • Härdle, W.1    Stoker, T.M.2
  • 11
    • 0000906634 scopus 로고
    • Asymptotic properties of sliced inverse regression
    • T. Hsing and R.J. Carroll. Asymptotic Properties of Sliced Inverse Regression. Ann. Statist., 1992, 20:, 1040-1061.
    • (1992) Ann. Statist. , vol.20 , pp. 1040-1061
    • Hsing, T.1    Carroll, R.J.2
  • 12
    • 0000263797 scopus 로고
    • Projection pursuit
    • with Discussions
    • P. Huber. Projection Pursuit (with Discussions). Ann. Statist., 1985, 13: 435-525.
    • (1985) Ann. Statist. , vol.13 , pp. 435-525
    • Huber, P.1
  • 13
    • 54749133742 scopus 로고
    • Office of Naval Research, ONR Task No. 389-150, 117. (Available from the Documents Clearing House, Arlington, Va., as document AD 705 625)
    • W.C. Kumbein and R.L. Shreve. Some Statistical Properties of Density Channel Networks. Tech. Rept., 1970, 13: Office of Naval Research, ONR Task No. 389-150, 117. (Available from the Documents Clearing House, Arlington, Va., as document AD 705 625).
    • (1970) Some Statistical Properties of Density Channel Networks. Tech. Rept. , vol.13
    • Kumbein, W.C.1    Shreve, R.L.2
  • 14
    • 84945116550 scopus 로고
    • Sliced inverse regression for dimension reduction
    • K.C. Li. Sliced Inverse Regression for Dimension Reduction. J. Amer. Statist. Assoc., 1991, 84: 316-345.
    • (1991) J. Amer. Statist. Assoc. , vol.84 , pp. 316-345
    • Li, K.C.1
  • 15
    • 84950441056 scopus 로고
    • On principal hessian directions for data visualization and dimension reduction: Another application of Stein's Lemma
    • K.C. Li. On Principal Hessian Directions for Data Visualization and Dimension Reduction: Another Application of Stein's Lemma. J. Amer. Statist. Assoc., 1992, 87: 1025-1039.
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 1025-1039
    • Li, K.C.1
  • 17
    • 0001099098 scopus 로고
    • Semiparametric estimation of index coefficients
    • J.L. Powell, J.H. Stock and T.M. Stoker. Semiparametric Estimation of Index Coefficients. Econometrics, 1989, 57: 1403-1430.
    • (1989) Econometrics , vol.57 , pp. 1403-1430
    • Powell, J.L.1    Stock, J.H.2    Stoker, T.M.3
  • 19
    • 0043159068 scopus 로고
    • Convergence rates of the empirical processes indexed by the classes of functions and applications
    • L.X. Zhu. Convergence Rates of the Empirical Processes Indexed by the Classes of Functions and Applications. Chinese J. Sys. Sci. & Math. Scis., 1993, 13: 33-41.
    • (1993) Chinese J. Sys. Sci. & Math. Scis. , vol.13 , pp. 33-41
    • Zhu, L.X.1
  • 20
    • 0038153750 scopus 로고    scopus 로고
    • Asymptotic for the Kernel estimate of sliced inverse regression
    • L.X. Zhu and K.T. Fang. Asymptotic for the Kernel Estimate of Sliced Inverse Regression. Annals of Statistics, 1996, 24: 1053-1068.
    • (1996) Annals of Statistics , vol.24 , pp. 1053-1068
    • Zhu, L.X.1    Fang, K.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.