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Volumn 32, Issue 6, 2004, Pages 2580-2615

Bayesian-motivated tests of function fit and their asymptotic frequentist properties

Author keywords

Asymptotic distribution; BIC; Local alternatives; Nonparametric lack of fit test; Orthogonal series; Stable distribution

Indexed keywords


EID: 21644490061     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053604000000805     Document Type: Article
Times cited : (11)

References (35)
  • 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
    • 0016355478 scopus 로고
    • A new look at the statistical model identification
    • AKAIKE, H. (1974). A new look at the statistical model identification. IEEE Trans. Automatic Control 19 716-723.
    • (1974) IEEE Trans. Automatic Control , vol.19 , pp. 716-723
    • Akaike, H.1
  • 4
    • 0000298252 scopus 로고    scopus 로고
    • The intrinsic Bayes factor for model selection and prediction
    • BERGER, J. O. and PERICCHI, L. R. (1996). The intrinsic Bayes factor for model selection and prediction. J. Amer. Statist. Assoc. 91 109-122.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 109-122
    • Berger, J.O.1    Pericchi, L.R.2
  • 5
    • 10444273225 scopus 로고    scopus 로고
    • Goodness of fit via nonparametric likelihood ratios
    • CLAESKENS, G. and HJORT, N. L. (2004). Goodness of fit via nonparametric likelihood ratios. Scand. J. Statist. 31 487-514.
    • (2004) Scand. J. Statist. , vol.31 , pp. 487-514
    • Claeskens, G.1    Hjort, N.L.2
  • 7
    • 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
  • 8
    • 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
  • 9
    • 1542678352 scopus 로고    scopus 로고
    • Goodness-of-fit tests for parametric regression models
    • FAN, J. and HUANG, L. (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.2
  • 12
    • 0002303732 scopus 로고
    • Saddle-point methods for the multinomial distribution
    • GOOD, I. J. (1957). Saddle-point methods for the multinomial distribution. Ann. Math. Statist. 28 861-881.
    • (1957) Ann. Math. Statist. , vol.28 , pp. 861-881
    • Good, I.J.1
  • 13
    • 84950429964 scopus 로고
    • The Bayes/non-Bayes compromise: A brief review
    • GOOD, I. J. (1992). The Bayes/non-Bayes compromise: A brief review. J. Amer. Statist. Assoc. 87 597-606.
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 597-606
    • Good, I.J.1
  • 14
    • 0001354702 scopus 로고
    • On the rate of convergence in the multivariate central limit theorem
    • GÖTZE, F. (1991). On the rate of convergence in the multivariate central limit theorem. Ann. Probab. 19 724-739.
    • (1991) Ann. Probab. , vol.19 , pp. 724-739
    • Götze, F.1
  • 17
    • 0000554045 scopus 로고
    • On the choice of a model to fit data from an exponential family
    • HAUGHTON, D. M. A. (1988). On the choice of a model to fit data from an exponential family. Ann. Statist. 16 342-355.
    • (1988) Ann. Statist. , vol.16 , pp. 342-355
    • Haughton, D.M.A.1
  • 19
    • 27944462549 scopus 로고
    • A reference Bayesian test for nested hypotheses and its relationship to the Schwarz criterion
    • KASS, R. E. and WASSERMAN, L. (1995). A reference Bayesian test for nested hypotheses and its relationship to the Schwarz criterion. J. Amer. Statist. Assoc. 90 928-934.
    • (1995) J. Amer. Statist. Assoc. , vol.90 , pp. 928-934
    • Kass, R.E.1    Wasserman, L.2
  • 20
    • 0030327756 scopus 로고    scopus 로고
    • The selection of prior distributions by formal rules
    • [Correction (1998) 93 412.]
    • KASS, R. E. and WASSERMAN, L. (1996). The selection of prior distributions by formal rules. J. Amer. Statist. Assoc. 91 1343-1370. [Correction (1998) 93 412.]
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 1343-1370
    • Kass, R.E.1    Wasserman, L.2
  • 22
    • 0009825657 scopus 로고    scopus 로고
    • The analysis of indexed astronomical time series - VII. Simultaneous use of times of maxima and minima to test for period changes in long-period variables
    • KOEN, C. and LOMBARD, F. (2001). The analysis of indexed astronomical time series - VII. Simultaneous use of times of maxima and minima to test for period changes in long-period variables. Monthly Notices of the Royal Astronomical Society 325 1124-1132.
    • (2001) Monthly Notices of the Royal Astronomical Society , vol.325 , pp. 1124-1132
    • Koen, C.1    Lombard, F.2
  • 23
    • 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
  • 24
    • 0000994389 scopus 로고
    • Convergence to a stable distribution via order statistics
    • LEPAGE, R., WOODROOFE, M. and ZINN, J. (1981). Convergence to a stable distribution via order statistics. Ann. Probab. 9 624-632.
    • (1981) Ann. Probab. , vol.9 , pp. 624-632
    • Lepage, R.1    Woodroofe, M.2    Zinn, J.3
  • 25
    • 0007382573 scopus 로고    scopus 로고
    • Introducing Mira variables
    • MATTEI, J. A. (1997). Introducing Mira variables. J. AAVSO 25 57-62.
    • (1997) J. AAVSO , vol.25 , pp. 57-62
    • Mattei, J.A.1
  • 27
    • 84945593245 scopus 로고
    • "Smooth" test for goodness of fit
    • NEYMAN, J. (1937). "Smooth" test for goodness of fit. Skandinavisk Aktuarietidskrift 20 149-199.
    • (1937) Skandinavisk Aktuarietidskrift , vol.20 , pp. 149-199
    • Neyman, J.1
  • 29
    • 0039457366 scopus 로고
    • Smooth tests of goodness of fit: An overview
    • RAYNER, J. C. W. and BEST, D. J. (1990). Smooth tests of goodness of fit: An overview. Internat. Statist. Rev. 589-17.
    • (1990) Internat. Statist. Rev. , pp. 589-617
    • Rayner, J.C.W.1    Best, D.J.2
  • 30
    • 0001098776 scopus 로고
    • A universal prior for integers and estimation by minimum description length
    • RISSANEN, J. (1983). A universal prior for integers and estimation by minimum description length. Ann. Statist. 11 416-431.
    • (1983) Ann. Statist. , vol.11 , pp. 416-431
    • Rissanen, J.1
  • 32
    • 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
  • 34
    • 0032330376 scopus 로고    scopus 로고
    • Bayesian goodness-of-fit testing using infinite-dimensional exponential families
    • VERDINELLI, I. and WASSERMAN, L. (1998). Bayesian goodness-of-fit testing using infinite-dimensional exponential families. Ann. Statist. 26 1215-1241.
    • (1998) Ann. Statist. , vol.26 , pp. 1215-1241
    • Verdinelli, I.1    Wasserman, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.