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Volumn 109, Issue 1-2, 2003, Pages 125-154

Some higher-order theory for a consistent non-parametric model specification test

Author keywords

Consistent test; Edgeworth expansion; Kernel estimation; Non linear regression

Indexed keywords


EID: 0037209655     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(02)00307-5     Document Type: Article
Times cited : (42)

References (43)
  • 1
    • 0001179485 scopus 로고    scopus 로고
    • A conditional Kolmogorov test
    • Andrews, D.W.K., 1997. A conditional Kolmogorov test. Econometrica 65, 1097-1128.
    • (1997) Econometrica , vol.65 , pp. 1097-1128
    • Andrews, D.W.K.1
  • 2
    • 0000931301 scopus 로고
    • On the validity of the formal edgeworth expansion
    • Bhattacharya, R.N, Ghosh, J.K., 1978. On the validity of the formal edgeworth expansion. Ann. Statist. 6, 434-451.
    • (1978) Ann. Statist , vol.6 , pp. 434-451
    • Bhattacharya, R.N.1    Ghosh, J.K.2
  • 3
    • 0004205082 scopus 로고
    • Normal Approximation and Asymptotic Expansions
    • Wiley, New York
    • Bhattacharya, R.N., Rao, R., 1976. Normal Approximation and Asymptotic Expansions. Wiley, New York.
    • (1976)
    • Bhattacharya, R.N.1    Rao, R.2
  • 4
    • 0000640312 scopus 로고
    • The Edgeworth expansion for U statistics of degree two
    • Bickel, P.J., Götze, F., Van Zwet, W.R., 1986. The Edgeworth expansion for U statistics of degree two. Ann. Statist. 14, 1463-1484.
    • (1986) Ann. Statist , vol.14 , pp. 1463-1484
    • Bickel, P.J.1    Götze, F.2    Van Zwet, W.R.3
  • 5
    • 0000473677 scopus 로고
    • Consistent model specification tests
    • Bierens, H.J., 1982. Consistent model specification tests. J. Econometrics 20, 105-134.
    • (1982) J. Econometrics , vol.20 , pp. 105-134
    • Bierens, H.J.1
  • 6
    • 0000932315 scopus 로고
    • A consistent conditional moment test of functional form
    • Bierens, H.J., 1990. A consistent conditional moment test of functional form. Econometrica 58, 1443-1458.
    • (1990) Econometrica , vol.58 , pp. 1443-1458
    • Bierens, H.J.1
  • 7
    • 0001003419 scopus 로고    scopus 로고
    • Asymptotic theory of integrated conditional moment tests
    • Bierens, H.J., Ploberger, W., 1997. Asymptotic theory of integrated conditional moment tests. Econometrica 65, 1129-1152.
    • (1997) Econometrica , vol.65 , pp. 1129-1152
    • Bierens, H.J.1    Ploberger, W.2
  • 9
    • 21144481988 scopus 로고
    • Asymptotic comparison of Cramér-von Mises and non-parametric function estimation techniques for testing goodness-of-fit
    • Eubank, R.L., LaRiccia, V.N., 1992. Asymptotic comparison of Cramér-von Mises and non-parametric function estimation techniques for testing goodness-of-fit. Ann. Statist. 20, 2071-2086.
    • (1992) Ann. Statist , vol.20 , pp. 2071-2086
    • Eubank, R.L.1    LaRiccia, V.N.2
  • 10
    • 84974231625 scopus 로고
    • Testing the goodness-of-fit of a parametric density function by Kernel method
    • Fan, Y., 1994. Testing the goodness-of-fit of a parametric density function by Kernel method. Econometric Theory 10, 316-356.
    • (1994) Econometric Theory , vol.10 , pp. 316-356
    • Fan, Y.1
  • 11
    • 0011062891 scopus 로고
    • Bootstrapping a consistent nonparametric goodness-of-fit test
    • Fan, Y., 1995. Bootstrapping a consistent nonparametric goodness-of-fit test. Econometric Rev. 14, 367-382.
    • (1995) Econometric Rev , vol.14 , pp. 367-382
    • Fan, Y.1
  • 12
    • 0030353969 scopus 로고    scopus 로고
    • Consistent model specification tests: Omitted variables and semi-parametric functional forms
    • Fan, Y., Li, Q., 1996. Consistent model specification tests: omitted variables and semi-parametric functional forms. Econometrica 64, 865-890.
    • (1996) Econometrica , vol.64 , pp. 865-890
    • Fan, Y.1    Li, Q.2
  • 13
    • 0034363394 scopus 로고    scopus 로고
    • Consistent model specification tests: Kernel based tests versus Bierens' ICM tests
    • Fan, Y., Li, Q., 2000. Consistent model specification tests: kernel based tests versus Bierens' ICM tests. Econometric Theory, 16, 1016-1041.
    • (2000) Econometric Theory , vol.16 , pp. 1016-1041
    • Fan, Y.1    Li, Q.2
  • 14
    • 0003421261 scopus 로고
    • An Introduction to Probability Theory and its Applications
    • Wiley, New York
    • Feller, W., 1966. An Introduction to Probability Theory and its Applications, Vol. 2. Wiley, New York.
    • (1966) , vol.2
    • Feller, W.1
  • 15
    • 0000150950 scopus 로고
    • The power and optimal kernel of the Bickel-Rosenblatt test for goodness-of-fit
    • Ghosh, B.K., Huang, W., 1991. The power and optimal kernel of the Bickel-Rosenblatt test for goodness-of-fit. Ann. Statist. 19, 999-1009.
    • (1991) Ann. Statist , vol.19 , pp. 999-1009
    • Ghosh, B.K.1    Huang, W.2
  • 17
    • 33744790321 scopus 로고
    • A consistent model specification test for nonparametric estimation of regression function models
    • Gozalo, P.L., 1993. A consistent model specification test for nonparametric estimation of regression function models. Econometric Theory 9, 451-477.
    • (1993) Econometric Theory , vol.9 , pp. 451-477
    • Gozalo, P.L.1
  • 18
    • 0011117409 scopus 로고
    • Nonparametric bootstrap analysis with applications to Engel demand curves
    • Working Paper 95-7, Brown University, to appear
    • Gozalo, P.L., 1995. Nonparametric bootstrap analysis with applications to Engel demand curves. Working Paper 95-7, Brown University, J. Econometrics, to appear.
    • (1995) J. Econometrics
    • Gozalo, P.L.1
  • 19
    • 0003972176 scopus 로고
    • The Bootstrap and Edgeworth Expansion
    • Springer, Berlin
    • Hall, P., 1992. The Bootstrap and Edgeworth Expansion. Springer, Berlin.
    • (1992)
    • Hall, P.1
  • 20
    • 21344496537 scopus 로고
    • Comparing nonparametric versus parametric regression fits
    • Härdle, W., Mammen, E., 1993. Comparing nonparametric versus parametric regression fits. Ann. Statist. 21, 1926-1947.
    • (1993) Ann. Statist , vol.21 , pp. 1926-1947
    • Härdle, W.1    Mammen, E.2
  • 21
    • 0003968158 scopus 로고    scopus 로고
    • Nonparametric Smoothing and Lack-of-Fit Tests
    • Springer, Berlin
    • Hart, J.D., 1997. Nonparametric Smoothing and Lack-of-Fit Tests. Springer, Berlin.
    • (1997)
    • Hart, J.D.1
  • 22
    • 0001244469 scopus 로고    scopus 로고
    • Nonparametric statistics for testing of linearity and serial independence
    • Hjellvik, V., Tjøtheim, D., 1996. Nonparametric statistics for testing of linearity and serial independence. J. Nonparametric Statist. 6, 223-251.
    • (1996) J. Nonparametric Statist , vol.6 , pp. 223-251
    • Hjellvik, V.1    Tjøtheim, D.2
  • 23
    • 0029423775 scopus 로고
    • Consistent specification testing via nonparametric series regression
    • Hong, Y., White, H., 1995. Consistent specification testing via nonparametric series regression. Econometrica 63, 1133-1159.
    • (1995) Econometrica , vol.63 , pp. 1133-1159
    • Hong, Y.1    White, H.2
  • 24
    • 0347838440 scopus 로고    scopus 로고
    • An adaptive, rate-optimal test of a parametric model against a nonparametric alternative
    • Manuscript, University of Iowa
    • Horowitz, J.L., Spokoiny, V.G., 1998. An adaptive, rate-optimal test of a parametric model against a nonparametric alternative. Manuscript, University of Iowa.
    • (1998)
    • Horowitz, J.L.1    Spokoiny, V.G.2
  • 25
    • 0346937817 scopus 로고    scopus 로고
    • A simple consistent bootstrap test for a parametric regression function
    • Li, Q., Wang, S., 1998. A simple consistent bootstrap test for a parametric regression function. J. Econometrics 87, 145-165.
    • (1998) J. Econometrics , vol.87 , pp. 145-165
    • Li, Q.1    Wang, S.2
  • 26
    • 0029427071 scopus 로고
    • Second order approximation in the partially linear regression model
    • Linton, O.B., 1995. Second order approximation in the partially linear regression model. Econometrica 63, 1079-1112.
    • (1995) Econometrica , vol.63 , pp. 1079-1112
    • Linton, O.B.1
  • 27
    • 0030556164 scopus 로고    scopus 로고
    • Edgeworth approximation for MINPIN estimators in semiparametric regression models
    • Linton, O.B., 1996. Edgeworth approximation for MINPIN estimators in semiparametric regression models. Econometric Theory 12, 30-60.
    • (1996) Econometric Theory , vol.12 , pp. 30-60
    • Linton, O.B.1
  • 28
    • 0002029748 scopus 로고
    • Functional limit theorems for random quadratic forms
    • Mikosch, T., 1991. Functional limit theorems for random quadratic forms. Stochastic Processes Appl. 37, 81-98.
    • (1991) Stochastic Processes Appl , vol.37 , pp. 81-98
    • Mikosch, T.1
  • 29
    • 38249017440 scopus 로고
    • On the asymptotic power of the two-sided Kolmogorov-Smirnov test
    • Milbrodt, H., Strasser, H., 1990. On the asymptotic power of the two-sided Kolmogorov-Smirnov test. J. Statist. Planning Inference 26, 1-23.
    • (1990) J. Statist. Planning Inference , vol.26 , pp. 1-23
    • Milbrodt, H.1    Strasser, H.2
  • 30
    • 0017885485 scopus 로고
    • Edgeworth and saddlepoint approximations in first order noncircular autoregression
    • Phillips, P.C.B., 1978. Edgeworth and saddlepoint approximations in first order noncircular autoregression. Biometrika 65, 91-98.
    • (1978) Biometrika , vol.65 , pp. 91-98
    • Phillips, P.C.B.1
  • 31
    • 0001099098 scopus 로고
    • Semiparametric estimation of index coefficients
    • Powell, J.L., Stock, J.H., Stoker, T.M., 1989. Semiparametric estimation of index coefficients. Econometrica 57, 1403-1430.
    • (1989) Econometrica , vol.57 , pp. 1403-1430
    • Powell, J.L.1    Stock, J.H.2    Stoker, T.M.3
  • 32
    • 0002394561 scopus 로고
    • Large sample tests of statistical hypotheses concerning several parameters with applications to problems of estimation
    • Rao, C.R., 1948. Large sample tests of statistical hypotheses concerning several parameters with applications to problems of estimation. Proceedings of the Cambridge Philosophical Society 44, 50-57.
    • (1948) Proceedings of the Cambridge Philosophical Society , vol.44 , pp. 50-57
    • Rao, C.R.1
  • 33
    • 0000788831 scopus 로고
    • The stochastic difference between econometric statistics
    • Robinson, P.M., 1988. The stochastic difference between econometric statistics. Econometrica 56, 531-548.
    • (1988) Econometrica , vol.56 , pp. 531-548
    • Robinson, P.M.1
  • 34
    • 0000947972 scopus 로고
    • The normal approximation for semiparametric average derivatives
    • Robinson, P.M., 1995. The normal approximation for semiparametric average derivatives. Econometrica 63, 667-680.
    • (1995) Econometrica , vol.63 , pp. 667-680
    • Robinson, P.M.1
  • 35
    • 0002542168 scopus 로고
    • Quadratic measure of deviation of two-dimensional density estimates and a test of independence
    • Rosenblatt, M.A., 1975. Quadratic measure of deviation of two-dimensional density estimates and a test of independence. Ann. Statist. 3, 1-14.
    • (1975) Ann. Statist , vol.3 , pp. 1-14
    • Rosenblatt, M.A.1
  • 36
    • 0010704649 scopus 로고
    • Approximating the distributions of econometric estimators and test statistics
    • Griliches, Z., Intriligator, M. (Eds.), Chapter 14. North-Holland, Amsterdam
    • Rothenberg, T., 1984. Approximating the distributions of econometric estimators and test statistics. In: Griliches, Z., Intriligator, M. (Eds.), Handbook of Econometrics, Vol. 2, Chapter 14. North-Holland, Amsterdam.
    • (1984) Handbook of Econometrics , vol.2
    • Rothenberg, T.1
  • 37
    • 0000017584 scopus 로고
    • A general approximation to the distribution of instrumental variable estimates
    • Sargan, J.D., Mikhail, E., 1971. A general approximation to the distribution of instrumental variable estimates. Econometrica 39, 131-169.
    • (1971) Econometrica , vol.39 , pp. 131-169
    • Sargan, J.D.1    Mikhail, E.2
  • 39
    • 0031520116 scopus 로고    scopus 로고
    • Nonparametric model checks for regression
    • Stute, W., 1997. Nonparametric model checks for regression. Ann. Statist. 25, 613-641.
    • (1997) Ann. Statist , vol.25 , pp. 613-641
    • Stute, W.1
  • 42
    • 0032271144 scopus 로고    scopus 로고
    • Model checks for regression: An innovation process approach
    • Stute, W., Thies, S., Zhu, L.-X., 1998b. Model checks for regression: an innovation process approach. Ann. Statist. 26, 1916-1934.
    • (1998) Ann. Statist , vol.26 , pp. 1916-1934
    • Stute, W.1    Thies, S.2    Zhu, L.-X.3
  • 43
    • 0000617856 scopus 로고    scopus 로고
    • A consistent test of functional form via nonparametric estimation techniques
    • Zheng, J.X., 1996. A consistent test of functional form via nonparametric estimation techniques. J. Econometrics 75, 263-289.
    • (1996) J. Econometrics , vol.75 , pp. 263-289
    • Zheng, J.X.1


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