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Volumn 64, Issue 3, 2002, Pages 519-536

Bayes model averaging with selection of regressors

Author keywords

Bayesian model averaging; Decision theory; Multivariate general linear model; QR updating; Ridge regression; Variable selection

Indexed keywords


EID: 0036020894     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9868.00348     Document Type: Article
Times cited : (126)

References (43)
  • 2
    • 0043255040 scopus 로고
    • Discussion of the paper by Mitchell and Beauchamp
    • Berger, J.O. (1988) Discussion of the paper by Mitchell and Beauchamp. J. Am. Statist. Ass., 83, 1033-1034.
    • (1988) J. Am. Statist. Ass , vol.83 , pp. 1033-1034
    • Berger, J.O.1
  • 3
    • 0030344230 scopus 로고    scopus 로고
    • Heuristics of instability and stabilisation in model selection
    • Breiman, L. (1996) Heuristics of instability and stabilisation in model selection. Ann. Statist., 24, 2350-2383.
    • (1996) Ann. Statist , vol.24 , pp. 2350-2383
    • Breiman, L.1
  • 4
    • 0000927638 scopus 로고    scopus 로고
    • Predicting multivariate responses in multiple linear regression (with discussion)
    • Breiman, L. and Friedman, J.H. (1997) Predicting multivariate responses in multiple linear regression (with discussion). J. R. Statist. Soc. B, 59, 3-54.
    • (1997) J. R. Statist. Soc. B , vol.59 , pp. 3-54
    • Breiman, L.1    Friedman, J.H.2
  • 5
    • 0001231608 scopus 로고
    • Wavelength selection in multicomponent near-infrared calibration
    • Brown, P.J. (1992) Wavelength selection in multicomponent near-infrared calibration. J. Chemometr, 6, 151-161.
    • (1992) J. Chemometr , vol.6 , pp. 151-161
    • Brown, P.J.1
  • 7
    • 0000294132 scopus 로고    scopus 로고
    • The choice of variables in multivariate regression: A non-conjugate Bayesian decision theory approach
    • Brown, P.J., Fearn, T. and Vannucci, M. (1999) The choice of variables in multivariate regression: a non-conjugate Bayesian decision theory approach. Biometrika, 86, 635-648.
    • (1999) Biometrika , vol.86 , pp. 635-648
    • Brown, P.J.1    Fearn, T.2    Vannucci, M.3
  • 8
    • 1542469448 scopus 로고    scopus 로고
    • Bayesian wavelet regressions on curves with application to a spectroscopic calibration problem
    • _(2001) Bayesian wavelet regressions on curves with application to a spectroscopic calibration problem. J. Am. Statist. Ass., 96, 398-408.
    • (2001) J. Am. Statist. Ass , vol.96 , pp. 398-408
  • 9
    • 0011339924 scopus 로고
    • Regression, sequenced measurements and coherent calibration
    • J.M. Bernardo, J. Berger, A.P. Dawid and A.F.M. Smith. Oxford: Clarendon
    • Brown, P.J. and Mäkeläinen, T. (1992) Regression, sequenced measurements and coherent calibration. In Bayesian Statistics 4 (eds J.M. Bernardo, J. Berger, A.P. Dawid and A.F.M. Smith), pp. 97-108. Oxford: Clarendon.
    • (1992) Bayesian Statistics , vol.4 , pp. 97-108
    • Brown, P.J.1    Mäkeläinen, T.2
  • 11
    • 0000857113 scopus 로고    scopus 로고
    • Multivariate Bayesian variable selection and prediction
    • Brown, P.J., Vannucci, M. and Fearn, T. (1998a) Multivariate Bayesian variable selection and prediction. J. R. Statist. Soc. B, 60, 627-641.
    • (1998) J. R. Statist. Soc. B , vol.60 , pp. 627-641
    • Brown, P.J.1    Vannucci, M.2    Fearn, T.3
  • 12
    • 0001327729 scopus 로고    scopus 로고
    • Bayesian wavelength selection in multicomponent analysis
    • _(1998b) Bayesian wavelength selection in multicomponent analysis. J. Chemometr., 12, 173-182.
    • (1998) J. Chemometr , vol.12 , pp. 173-182
  • 13
    • 0002799895 scopus 로고
    • Adaptive multivariate ridge regression
    • Brown, P.J. and Zidek, J.V. (1980) Adaptive multivariate ridge regression. Ann. Statist., 8, 64-74.
    • (1980) Ann. Statist , vol.8 , pp. 64-74
    • Brown, P.J.1    Zidek, J.V.2
  • 14
    • 0030336430 scopus 로고    scopus 로고
    • Prediction via orthogonalised model mixing
    • Clyde, M., Desimone, H. and Parmigiani, G. (1996) Prediction via orthogonalised model mixing. J. Am. Statist. Ass., 91, 1197-1208.
    • (1996) J. Am. Statist. Ass , vol.91 , pp. 1197-1208
    • Clyde, M.1    Desimone, H.2    Parmigiani, G.3
  • 15
    • 0034354040 scopus 로고    scopus 로고
    • Flexible empirical Bayes estimation for wavelets
    • Clyde, M. and George, E.I. (2000) Flexible empirical Bayes estimation for wavelets. J. R. Statist. Soc. B, 62, 681-698.
    • (2000) J. R. Statist. Soc. B , vol.62 , pp. 681-698
    • Clyde, M.1    George, E.I.2
  • 16
    • 0001573594 scopus 로고
    • Regression, prediction and shrinkage (with discussion)
    • Copas, J.B. (1983) Regression, prediction and shrinkage (with discussion). J. R. Statist. Soc. B, 45, 311-354.
    • (1983) J. R. Statist. Soc. B , vol.45 , pp. 311-354
    • Copas, J.B.1
  • 17
    • 0000043041 scopus 로고
    • Some matrix-variate distribution theory: Notational considerations and a Bayesian application
    • Dawid, A.P. (1981) Some matrix-variate distribution theory: notational considerations and a Bayesian application. Biometrika, 68, 265-274.
    • (1981) Biometrika , vol.68 , pp. 265-274
    • Dawid, A.P.1
  • 18
    • 0003373805 scopus 로고
    • The infinite regress and its conjugate analysis
    • J.M. Bernardo, M.H. DeGroot, D.V. Lindley and A.F.M. Smith. Oxford: Clarendon
    • _(1988) The infinite regress and its conjugate analysis. In Bayesian Statistics 3 (eds J.M. Bernardo, M.H. DeGroot, D.V. Lindley and A.F.M. Smith), pp. 95-110. Oxford: Clarendon.
    • (1988) Bayesian Statistics , vol.3 , pp. 95-110
  • 19
    • 0002933540 scopus 로고
    • Alternatives to least squares in multiple regression
    • D.G. Kabe and R.P. Gupta. New York: Elsevier
    • Dempster, A.P. (1973) Alternatives to least squares in multiple regression. In Multivariate Statistical Inference (eds D.G. Kabe and R.P. Gupta), pp. 25-40. New York: Elsevier.
    • (1973) Multivariate Statistical Inference , pp. 25-40
    • Dempster, A.P.1
  • 20
    • 0002276308 scopus 로고
    • Assessment and propagation of model uncertainty (with discussion)
    • Draper, D. (1995) Assessment and propagation of model uncertainty (with discussion). J. R. Statist. Soc. B, 57, 45-97.
    • (1995) J. R. Statist. Soc. B , vol.57 , pp. 45-97
    • Draper, D.1
  • 21
    • 18044404766 scopus 로고    scopus 로고
    • Benchmark priors for Bayesian model averaging
    • Fernández, C., Ley, E. and Steel, M.F.J. (2001) Benchmark priors for Bayesian model averaging. J. Econometr., 100, 381-427.
    • (2001) J. Econometr , vol.100 , pp. 381-427
    • Fernández, C.1    Ley, E.2    Steel, M.F.J.3
  • 22
    • 84972492387 scopus 로고
    • Inference from iterative simulation using multiple sequences (with discussion)
    • Gelman, A. and Rubin, D.B. (1992) Inference from iterative simulation using multiple sequences (with discussion). Statist. Sci., 7, 457-472.
    • (1992) Statist. Sci , vol.7 , pp. 457-472
    • Gelman, A.1    Rubin, D.B.2
  • 23
    • 0031526204 scopus 로고    scopus 로고
    • Approaches for Bayesian variable selection
    • George, E.I. and McCulloch, R.E. (1997) Approaches for Bayesian variable selection. Statist. Sin., 7, 339-373.
    • (1997) Statist. Sin , vol.7 , pp. 339-373
    • George, E.I.1    McCulloch, R.E.2
  • 24
    • 84942484786 scopus 로고
    • Ridge regression: Biased estimation for nonorthogonal problems
    • Hoerl, A.E. and Kennard, R.W. (1970a) Ridge regression: biased estimation for nonorthogonal problems. Technometrics, 12, 55-67.
    • (1970) Technometrics , vol.12 , pp. 55-67
    • Hoerl, A.E.1    Kennard, R.W.2
  • 25
    • 84942487147 scopus 로고
    • Ridge regression: Applications to nonorthogonal problems
    • _(1970b) Ridge regression: applications to nonorthogonal problems. Technometrics, 12, 69-82.
    • (1970) Technometrics , vol.12 , pp. 69-82
  • 27
    • 0029095285 scopus 로고
    • Determination of nitrate in municipal waste water by UV spectroscopy
    • Karlsson, M., Karlberg, B. and Olsson, R.J.O. (1995) Determination of nitrate in municipal waste water by UV spectroscopy. Anal. Chem. Acta, 312, 107-113.
    • (1995) Anal. Chem. Acta , vol.312 , pp. 107-113
    • Karlsson, M.1    Karlberg, B.2    Olsson, R.J.O.3
  • 28
    • 0001594965 scopus 로고
    • Application of near infrared spectroscopy for predicting the sugar content of fruit juices
    • Lanza, E. and Li, B.W. (1984) Application of near infrared spectroscopy for predicting the sugar content of fruit juices. J. Food Sci., 49, 995-998.
    • (1984) J. Food Sci , vol.49 , pp. 995-998
    • Lanza, E.1    Li, B.W.2
  • 29
  • 30
    • 0002438052 scopus 로고
    • The choice of variables in multiple regression (with discussion)
    • Lindley, D.V. (1968) The choice of variables in multiple regression (with discussion). J. R. Statist. Soc. B, 30, 31-66.
    • (1968) J. R. Statist. Soc. B , vol.30 , pp. 31-66
    • Lindley, D.V.1
  • 31
    • 84950945692 scopus 로고
    • Model selection and accounting for model uncertainty in graphical models using Occam's window
    • Madigan, D. and Raftery, A.E. (1994) Model selection and accounting for model uncertainty in graphical models using Occam's window. J. Am. Statist. Ass., 89, 1535-1546.
    • (1994) J. Am. Statist. Ass , vol.89 , pp. 1535-1546
    • Madigan, D.1    Raftery, A.E.2
  • 32
    • 21844520724 scopus 로고
    • Bayesian graphical models for discrete data
    • Madigan, D. and York, J. (1995) Bayesian graphical models for discrete data. Int. Statist. Rev., 63, 215-232.
    • (1995) Int. Statist. Rev , vol.63 , pp. 215-232
    • Madigan, D.1    York, J.2
  • 33
    • 0000130839 scopus 로고
    • Bayesian variable selection in linear regression
    • Mitchell, T.J. and Beauchamp, J.J. (1988) Bayesian variable selection in linear regression. J. Am. Statist. Ass., 83, 1023-1036.
    • (1988) J. Am. Statist. Ass , vol.83 , pp. 1023-1036
    • Mitchell, T.J.1    Beauchamp, J.J.2
  • 35
    • 0031506560 scopus 로고    scopus 로고
    • Bayesian model averaging for linear regression models
    • Raftery, A.E., Madigan, D. and Hoeting, J.A. (1997) Bayesian model averaging for linear regression models. J. Am. Statist. Ass., 92, 179-191.
    • (1997) J. Am. Statist. Ass , vol.92 , pp. 179-191
    • Raftery, A.E.1    Madigan, D.2    Hoeting, J.A.3
  • 39
    • 0002247483 scopus 로고
    • A general Bayesian linear model
    • Smith, A.F.M. (1973) A general Bayesian linear model. J. R. Statist. Soc. B, 35, 67-75.
    • (1973) J. R. Statist. Soc. B , vol.35 , pp. 67-75
    • Smith, A.F.M.1
  • 40
    • 0033149372 scopus 로고    scopus 로고
    • Multivariate calibration-direct and indirect regression methodology
    • Sundberg, R. (1999) Multivariate calibration-direct and indirect regression methodology. Scand. J. Statist., 26, 161-207.
    • (1999) Scand. J. Statist , vol.26 , pp. 161-207
    • Sundberg, R.1
  • 43
    • 0002817906 scopus 로고
    • On assessing prior distributions and Bayesian regression analysis with g-prior distributions
    • P.K. Goel and A. Zellner. Amsterdam: North-Holland
    • Zellner, A. (1986) On assessing prior distributions and Bayesian regression analysis with g-prior distributions. In Bayesian Inference and Decision Techniques-Essays in Honour of Bruno de Finetti (eds P.K. Goel and A. Zellner), pp. 233-243. Amsterdam: North-Holland.
    • (1986) Bayesian Inference and Decision Techniques-Essays in Honour of Bruno de Finetti , pp. 233-243
    • Zellner, A.1


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