메뉴 건너뛰기




Volumn 33, Issue 2, 2005, Pages 840-870

Data-driven rate-optimal specification testing in regression models

Author keywords

Hypothesis testing; Nonparametric adaptive tests; Selection methods

Indexed keywords


EID: 22944480863     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053604000001200     Document Type: Review
Times cited : (58)

References (34)
  • 2
    • 0346444888 scopus 로고    scopus 로고
    • Testing lack of fit in multiple regression
    • AERTS, M., CLAESKENS, G. and HART, J. D. (2000). Testing lack of fit in multiple regression. Biometrika 87 405-424.
    • (2000) Biometrika , vol.87 , pp. 405-424
    • Aerts, M.1    Claeskens, G.2    Hart, J.D.3
  • 3
    • 0000501656 scopus 로고
    • Information theory and an extension of the maximum likelihood principle
    • (B. N. Petrov and F. Csaki, eds.): Akadémiai Kiadó, Budapest
    • AKAIKE, H. (1973). Information theory and an extension of the maximum likelihood principle. In Proc. Second International Symposium on Information Theory (B. N. Petrov and F. Csaki, eds.) 267-281: Akadémiai Kiadó, Budapest.
    • (1973) Proc. Second International Symposium on Information Theory , pp. 267-281
    • Akaike, H.1
  • 4
    • 0036997840 scopus 로고    scopus 로고
    • Model selection for regression on a random design
    • BARAUD, Y. (2002). Model selection for regression on a random design. ESAIM Probab. Statist. 6 127-146.
    • (2002) ESAIM Probab. Statist. , vol.6 , pp. 127-146
    • Baraud, Y.1
  • 5
    • 21144438312 scopus 로고    scopus 로고
    • Adaptive tests of linear hypotheses by model selection
    • BARAUD, Y., HUET, S. and LAURENT, B. (2003). Adaptive tests of linear hypotheses by model selection. Ann. Statist. 31 225-251.
    • (2003) Ann. Statist. , vol.31 , pp. 225-251
    • Baraud, Y.1    Huet, S.2    Laurent, B.3
  • 6
    • 38149146463 scopus 로고
    • Testing goodness-of-fit of polynomial models via spline smoothing techniques
    • CHEN, J. C. (1994). Testing goodness-of-fit of polynomial models via spline smoothing techniques. Statist. Probab. Lett. 19 65-76.
    • (1994) Statist. Probab. Lett. , vol.19 , pp. 65-76
    • Chen, J.C.1
  • 9
    • 34250109475 scopus 로고
    • A central limit theorem for generalized quadratic forms
    • DE JONG, P. (1987). A central limit theorem for generalized quadratic forms. Probability Theory and Related Fields 75 261-277.
    • (1987) Probability Theory and Related Fields , vol.75 , pp. 261-277
    • De Jong, P.1
  • 10
    • 0033248627 scopus 로고    scopus 로고
    • A consistent test for the functional form of a regression based on a difference of variance estimators
    • DETTE, H. (1999). A consistent test for the functional form of a regression based on a difference of variance estimators. Ann. Statist. 27 1012-1040.
    • (1999) Ann. Statist. , vol.27 , pp. 1012-1040
    • Dette, H.1
  • 11
    • 21144482103 scopus 로고
    • Testing goodness-of-fit in regression via order selection criteria
    • EUBANK, R. L. and HART, J. D. (1992). Testing goodness-of-fit in regression via order selection criteria. Ann. Statist. 20 1412-1425.
    • (1992) Ann. Statist. , vol.20 , pp. 1412-1425
    • Eubank, R.L.1    Hart, J.D.2
  • 12
    • 0030549054 scopus 로고    scopus 로고
    • Test of significance based on wavelet thresholding and Neyman's truncation
    • FAN, J. (1996). Test of significance based on wavelet thresholding and Neyman's truncation. J. Amer. Statist. Assoc. 91 674-688.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 674-688
    • Fan, J.1
  • 13
    • 1542678352 scopus 로고    scopus 로고
    • Goodness-of-fit tests for parametric regression models
    • FAN, J. and HUANG, L.-S. (2001). Goodness-of-fit tests for parametric regression models. J. Amer. Statist. Assoc. 96 640-652.
    • (2001) J. Amer. Statist. Assoc. , vol.96 , pp. 640-652
    • Fan, J.1    Huang, L.-S.2
  • 14
    • 0035633948 scopus 로고    scopus 로고
    • Generalized lihelihood ratio statistics and Wilks phenomenon
    • FAN, J., ZHANG, C. and ZHANG, J. (2001). Generalized lihelihood ratio statistics and Wilks phenomenon. Ann. Statist. 29 153-193.
    • (2001) Ann. Statist. , vol.29 , pp. 153-193
    • Fan, J.1    Zhang, C.2    Zhang, J.3
  • 15
    • 0031292977 scopus 로고    scopus 로고
    • Nonparametric bootstrap analysis with applications to demographic effects in demand functions
    • GOZALO, P. L. (1997). Nonparametric bootstrap analysis with applications to demographic effects in demand functions. J. Econometrics 81 357-393.
    • (1997) J. Econometrics , vol.81 , pp. 357-393
    • Gozalo, P.L.1
  • 16
    • 0036026154 scopus 로고    scopus 로고
    • Optimal minimax rates for nonparametric specification testing in regression models
    • GUERRE, E. and LAVERGNE, P. (2002). Optimal minimax rates for nonparametric specification testing in regression models. Econometric Theory 18 1139-1171.
    • (2002) Econometric Theory , vol.18 , pp. 1139-1171
    • Guerre, E.1    Lavergne, P.2
  • 17
    • 84860968605 scopus 로고    scopus 로고
    • Data-driven rate-optimal specification testing in regression models
    • Univ. Paris 6
    • GUERRE, E. and LAVERGNE, P. (2003). Data-driven rate-optimal specification testing in regression models. Working paper, Univ. Paris 6. Available at www.ccr.jussieu.fr/lsta/R2001_3b.pdf.
    • (2003) Working Paper
    • Guerre, E.1    Lavergne, P.2
  • 18
    • 21344496537 scopus 로고
    • Comparing nonparametric versus parametric regression fits
    • HÄRDLE, W. and 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
  • 20
    • 0034991055 scopus 로고    scopus 로고
    • An adaptive, rate-optimal test of a parametric mean-regression model against a nonparametric alternative
    • HOROWITZ, J. L. and SPOKOINY, V. G. (2001). An adaptive, rate-optimal test of a parametric mean-regression model against a nonparametric alternative. Econometrica 69 599-631.
    • (2001) Econometrica , vol.69 , pp. 599-631
    • Horowitz, J.L.1    Spokoiny, V.G.2
  • 21
    • 0003058689 scopus 로고
    • Asymptotically minimax hypothesis testing for nonparametric alternatives. I, II, III
    • INGSTER, Y. I. (1993). Asymptotically minimax hypothesis testing for nonparametric alternatives. I, II, III. Math. Methods Statist. 2 85-114, 171-189 and 249-268.
    • (1993) Math. Methods Statist. , vol.2 , pp. 85-114
    • Ingster, Y.I.1
  • 22
    • 21844521889 scopus 로고
    • Data-driven version of Neyman's smooth test of fit
    • LEDWINA, T. (1994). Data-driven version of Neyman's smooth test of fit. J. Amer. Statist. Assoc. 89 1000-1005.
    • (1994) J. Amer. Statist. Assoc. , vol.89 , pp. 1000-1005
    • Ledwina, T.1
  • 23
    • 0031504935 scopus 로고    scopus 로고
    • Optimal spatial adaptation to inhomogeneous smoothness: An approach based on kernel estimates with variable bandwidth selectors
    • LEPSKI, O. V., MAMMEN, E. and SPOKOINY, V. G. (1997). Optimal spatial adaptation to inhomogeneous smoothness: An approach based on kernel estimates with variable bandwidth selectors. Ann. Statist. 25 929-947.
    • (1997) Ann. Statist. , vol.25 , pp. 929-947
    • Lepski, O.V.1    Mammen, E.2    Spokoiny, V.G.3
  • 25
    • 0000006440 scopus 로고
    • Bandwidth choice for nonparametric regression
    • RICE, J. (1984). Bandwidth choice for nonparametric regression. Ann. Statist. 12 1215-1230.
    • (1984) Ann. Statist. , vol.12 , pp. 1215-1230
    • Rice, J.1
  • 26
    • 0039975339 scopus 로고
    • Some estimates of distibutions of quadratic forms
    • ROTAR', V. I. and SHERVASHIDZE, T. L. (1985). Some estimates of distibutions of quadratic forms. Theory Probab. Appl. 30 585-591.
    • (1985) Theory Probab. Appl. , vol.30 , pp. 585-591
    • Rotar, V.I.1    Shervashidze, T.L.2
  • 27
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • SCHWARZ, G. (1978). Estimating the dimension of a model. Ann. Statist. 6 461-464.
    • (1978) Ann. Statist. , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 28
    • 0030342998 scopus 로고    scopus 로고
    • Adaptive hypothesis testing using wavelets
    • SPOKOINY, V. G. (1996). Adaptive hypothesis testing using wavelets. Ann. Statist. 24 2477-2498.
    • (1996) Ann. Statist. , vol.24 , pp. 2477-2498
    • Spokoiny, V.G.1
  • 29
    • 0012812843 scopus 로고    scopus 로고
    • Data-driven testing the fit of linear models
    • SPOKOINY, V. G. (2001). Data-driven testing the fit of linear models. Math. Methods Statist. 10 465-497.
    • (2001) Math. Methods Statist. , vol.10 , pp. 465-497
    • Spokoiny, V.G.1
  • 33
    • 0001673027 scopus 로고
    • Jacknife, bootstrap and other resampling methods in regression analysis
    • Wu, C.-F. J. (1986). Jacknife, bootstrap and other resampling methods in regression analysis (with discussion). Ann. Statist. 14 1261-1350.
    • (1986) Ann. Statist. , vol.14 , pp. 1261-1350
    • Wu, C.-F.J.1
  • 34
    • 0242427746 scopus 로고    scopus 로고
    • Adaptive tests of regression functions via multiscale generalized likelihood ratios
    • ZHANG, C. M. (2003). Adaptive tests of regression functions via multiscale generalized likelihood ratios. Canad. J. Statist. 31 151-171.
    • (2003) Canad. J. Statist. , vol.31 , pp. 151-171
    • Zhang, C.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.