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Volumn 86, Issue 1, 1999, Pages 153-167

Multivariate Student-t regression models: Pitfalls and inference

Author keywords

Bayesian inference; Continuous distribution; Maximum likelihood; Missing data; Scale mixture of normals

Indexed keywords


EID: 33746447668     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/86.1.153     Document Type: Article
Times cited : (140)

References (30)
  • 1
    • 0016128052 scopus 로고
    • A robust method for multiple linear regression
    • ANDREWS, D. F. (1974). A robust method for multiple linear regression. Technometrics 16, 523-31.
    • (1974) Technometrics , vol.16 , pp. 523-531
    • Andrews, D.F.1
  • 2
    • 0023289156 scopus 로고
    • Fitting the Student-t distribution to grouped data, with application to a particle scattering experiment
    • BECKMAN, R. J. & JOHNSON, M. E. (1987). Fitting the Student-t distribution to grouped data, with application to a particle scattering experiment. Technometrics 29, 17-22.
    • (1987) Technometrics , vol.29 , pp. 17-22
    • Beckman, R.J.1    Johnson, M.E.2
  • 4
    • 84937730674 scopus 로고
    • Explaining the Gibbs sampler
    • CASELLA, G. & GEORGE, E. (1992). Explaining the Gibbs sampler. Am. Statistician 46, 167-74.
    • (1992) Am. Statistician , vol.46 , pp. 167-174
    • Casella, G.1    George, E.2
  • 5
    • 0002047301 scopus 로고
    • Corrected maximum likelihood in non-regular problems
    • CHENG, R. C. H. & ILES, T. C. (1987). Corrected maximum likelihood in non-regular problems. J. R. Statist. Soc. B 49, 95-101.
    • (1987) J. R. Statist. Soc. B , vol.49 , pp. 95-101
    • Cheng, R.C.H.1    Iles, T.C.2
  • 6
    • 0002654706 scopus 로고
    • Non-regular maximum likelihood problems
    • CHENG, R. C. H. & TRAYLOR, L. (1995). Non-regular maximum likelihood problems (with Discussion). J. R. Statist. Soc. B 57, 3-44.
    • (1995) J. R. Statist. Soc. B , vol.57 , pp. 3-44
    • Cheng, R.C.H.1    Traylor, L.2
  • 7
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the em algorithm
    • DEMPSTER, A. P., LAIRD, N. M. & RUBIN, D. B. (1977). Maximum likelihood from incomplete data via the EM algorithm (with Discussion). J. R. Statist. Soc. B 39, 1-38.
    • (1977) J. R. Statist. Soc. B , vol.39 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 8
    • 17944374775 scopus 로고    scopus 로고
    • On the dangers of modelling through continuous distributions: A Bayesian perspective (with Discussion)
    • Ed. J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith. To appear. Oxford: Oxford University Press
    • FERNÁNDEZ, C. & STEEL, M. F. J. (1999). On the dangers of modelling through continuous distributions: A Bayesian perspective (with Discussion). In Bayesian Statistics 6, Ed. J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith. To appear. Oxford: Oxford University Press.
    • (1999) Bayesian Statistics , vol.6
    • Fernández, C.1    Steel, M.F.J.2
  • 9
    • 0000764772 scopus 로고
    • The use of multiple measurements in taxonomic problems
    • FISHER, R. A. (1936). The use of multiple measurements in taxonomic problems. Ann. Eugen. 8, 179-88.
    • (1936) Ann. Eugen. , vol.8 , pp. 179-188
    • Fisher, R.A.1
  • 11
    • 84950453304 scopus 로고
    • Sampling-based approaches to calculating marginal densities
    • GELFAND, A. E. & SMITH, A. F. M. (1990). Sampling-based approaches to calculating marginal densities. J. Am. Statist. Assoc. 85, 398-409.
    • (1990) J. Am. Statist. Assoc. , vol.85 , pp. 398-409
    • Gelfand, A.E.1    Smith, A.F.M.2
  • 12
    • 84986088295 scopus 로고
    • Bayesian treatment of the independent Student-t linear model
    • GEWEKE, J. (1993). Bayesian treatment of the independent Student-t linear model. J. Appl. Economet. 8, S19-S40.
    • (1993) J. Appl. Economet. , vol.8
    • Geweke, J.1
  • 14
    • 84972545716 scopus 로고
    • Inference from grouped continuous data: A review
    • HEITJAN, D. F. (1989). Inference from grouped continuous data: A review (with Discussion). Statist. Sci. 4, 164-83.
    • (1989) Statist. Sci. , vol.4 , pp. 164-183
    • Heitjan, D.F.1
  • 15
    • 84950943564 scopus 로고
    • Sequential imputations and Bayesian missing data problems
    • KONG, A., LIU, J. S. & WONG, W. H. (1994). Sequential imputations and Bayesian missing data problems. J. Am. Statist. Assoc. 89, 278-88.
    • (1994) J. Am. Statist. Assoc. , vol.89 , pp. 278-288
    • Kong, A.1    Liu, J.S.2    Wong, W.H.3
  • 17
    • 0000217030 scopus 로고
    • Normal/independent distributions and their applications in robust regression
    • LANGE, K. L. & SINSHEIMER, J. S. (1993). Normal/independent distributions and their applications in robust regression. J. Comp. Graph. Statist. 2, 175-98.
    • (1993) J. Comp. Graph. Statist. , vol.2 , pp. 175-198
    • Lange, K.L.1    Sinsheimer, J.S.2
  • 19
    • 0000106418 scopus 로고
    • Missing data imputation using the multivariate t distribution
    • LIU, C. H. (1995). Missing data imputation using the multivariate t distribution. J. Mult. Anal. 53, 139-58.
    • (1995) J. Mult. Anal. , vol.53 , pp. 139-158
    • Liu, C.H.1
  • 20
    • 0042123139 scopus 로고    scopus 로고
    • Bayesian robust multivariate linear regression with incomplete data
    • LIU, C. H. (1996). Bayesian robust multivariate linear regression with incomplete data. J. Am. Statist. Assoc. 91, 1219-27.
    • (1996) J. Am. Statist. Assoc. , vol.91 , pp. 1219-1227
    • Liu, C.H.1
  • 21
    • 0000315742 scopus 로고
    • The ECME algorithm: A simple extension of em and ECM with faster monotone convergence
    • LIU, C. H. & RUBIN, D. B. (1994). The ECME algorithm: A simple extension of EM and ECM with faster monotone convergence. Biometrika 81, 633-48.
    • (1994) Biometrika , vol.81 , pp. 633-648
    • Liu, C.H.1    Rubin, D.B.2
  • 22
    • 0002864973 scopus 로고
    • ML estimation of the multivariate t distribution with unknown degrees of freedom
    • LIU, C. H. & RUBIN, D. B. (1995). ML estimation of the multivariate t distribution with unknown degrees of freedom. Statist. Sinica 5, 19-39.
    • (1995) Statist. Sinica , vol.5 , pp. 19-39
    • Liu, C.H.1    Rubin, D.B.2
  • 23
    • 0002063041 scopus 로고
    • Robust M-estimators of multivariate location and scatter
    • MARONNA, R. (1976). Robust M-estimators of multivariate location and scatter. Ann. Statist. 4, 51-67.
    • (1976) Ann. Statist. , vol.4 , pp. 51-67
    • Maronna, R.1
  • 24
    • 0342304694 scopus 로고
    • Comment on 'Maximum likelihood from incomplete data via the em algorithm' by A. P. Dempster, N. M. Laird and D. B. Rubin
    • MURRAY, G. D. (1977). Comment on 'Maximum likelihood from incomplete data via the EM algorithm' by A. P. Dempster, N. M. Laird and D. B. Rubin. J. R. Statist. Soc. B 39, 27-8.
    • (1977) J. R. Statist. Soc. B , vol.39 , pp. 27-28
    • Murray, G.D.1
  • 25
    • 0141700640 scopus 로고
    • Re-weighted least squares estimation with censored and grouped data: An application of the em algorithm
    • PETTITT, A. N. (1985). Re-weighted least squares estimation with censored and grouped data: An application of the EM algorithm. J. R. Statist. Soc. B 47, 253-60.
    • (1985) J. R. Statist. Soc. B , vol.47 , pp. 253-260
    • Pettitt, A.N.1
  • 26
    • 3943076022 scopus 로고
    • Statisticians are fairly robust estimators of location
    • RELLES, D. A. & ROGERS, W. H. (1977). Statisticians are fairly robust estimators of location. J. Am. Statist. Assoc. 72, 107-11.
    • (1977) J. Am. Statist. Assoc. , vol.72 , pp. 107-111
    • Relles, D.A.1    Rogers, W.H.2
  • 27
    • 84950788916 scopus 로고
    • A noniterative sampling/importance resampling alternative to the data augmentation algorithm for creating a few imputations when fractions of missing observations are modest: The SIR algorithm, Comment on Tanner and Wong (1987)
    • RUBIN, D. B. (1987). A noniterative sampling/importance resampling alternative to the data augmentation algorithm for creating a few imputations when fractions of missing observations are modest: The SIR algorithm, Comment on Tanner and Wong (1987). J. Am. Statist. Assoc. 82, 543-6.
    • (1987) J. Am. Statist. Assoc. , vol.82 , pp. 543-546
    • Rubin, D.B.1
  • 28
    • 84950758368 scopus 로고
    • The calculation of posterior distributions by data augmentation
    • TANNER, M. A. & WONG, W. H. (1987). The calculation of posterior distributions by data augmentation (with Discussion). J. Am. Statist. Assoc. 82, 528-50.
    • (1987) J. Am. Statist. Assoc. , vol.82 , pp. 528-550
    • Tanner, M.A.1    Wong, W.H.2
  • 29
    • 0018728747 scopus 로고
    • The application of robust calibration to radioimmunoassay
    • TIEDE, J. J. & PAGANO, M. (1979). The application of robust calibration to radioimmunoassay. Biometrics 35, 567-74.
    • (1979) Biometrics , vol.35 , pp. 567-574
    • Tiede, J.J.1    Pagano, M.2
  • 30
    • 0000108540 scopus 로고
    • Outlier models and prior distributions in Bayesian linear regression
    • WEST, M. (1984). Outlier models and prior distributions in Bayesian linear regression. J. R. Statist. Soc. B 46, 431-9.
    • (1984) J. R. Statist. Soc. B , vol.46 , pp. 431-439
    • West, M.1


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