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Volumn 29, Issue 4, 2000, Pages 797-822

Bias corrected estimates in multivariate student t regression models

Author keywords

Bias correction; Log likelihood derivatives; Maximum likelihood estimation; Multivariate nonlinear regression; Multivariate student t distribution

Indexed keywords


EID: 26844575611     PISSN: 03610918     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (11)

References (25)
  • 2
    • 0000692749 scopus 로고
    • Bias in nonlinear estimation
    • Box, M. (1971). Bias in nonlinear estimation (with discussion). J. R. Statist. Soc. B, 33, 171-201.
    • (1971) J. R. Statist. Soc. B , vol.33 , pp. 171-201
    • Box, M.1
  • 3
    • 0000403223 scopus 로고
    • Bias in nonlinear regression
    • Cook, R., Tsai, C. and Wei, B. (1986). Bias in nonlinear regression. Biometrika, 73, 615-623.
    • (1986) Biometrika , vol.73 , pp. 615-623
    • Cook, R.1    Tsai, C.2    Wei, B.3
  • 4
    • 38249005182 scopus 로고
    • General matrix formulae for computing Bartlett corrections
    • Cordeiro, G.M. (1993). General matrix formulae for computing Bartlett corrections. Statist. Prob. Letters, 16, 11-18.
    • (1993) Statist. Prob. Letters , vol.16 , pp. 11-18
    • Cordeiro, G.M.1
  • 6
    • 0001669824 scopus 로고
    • Bias correction in generalized linear models
    • Cordeiro, G.M. and McCullagh, P. (1991). Bias correction in generalized linear models. J. R. Statist. Soc. B, 53, 629-643.
    • (1991) J. R. Statist. Soc. B , vol.53 , pp. 629-643
    • Cordeiro, G.M.1    McCullagh, P.2
  • 7
    • 0031591865 scopus 로고    scopus 로고
    • Bias correction for a class of multivariate nonlinear regression models
    • Cordeiro, G.M. and Vasconcellos, K.L.P. (1997). Bias correction for a class of multivariate nonlinear regression models. Statist. Prob. Letters, 35, 155-164.
    • (1997) Statist. Prob. Letters , vol.35 , pp. 155-164
    • Cordeiro, G.M.1    Vasconcellos, K.L.P.2
  • 8
    • 0032223367 scopus 로고    scopus 로고
    • On the second-order bias of parameter estimates in nonlinear regression models with Student t errors
    • Cordeiro, G.M., Vasconcellos, K. L. P. and Santos, M. L. F. (1998). On the second-order bias of parameter estimates in nonlinear regression models with Student t errors. J. Statist. Comp. Simul., 60, 363-378.
    • (1998) J. Statist. Comp. Simul. , vol.60 , pp. 363-378
    • Cordeiro, G.M.1    Vasconcellos, K.L.P.2    Santos, M.L.F.3
  • 10
    • 0002738159 scopus 로고
    • Parameter orthogonality and approximate conditional inference
    • Cox, D. and Reid, N. (1987). Parameter orthogonality and approximate conditional inference (with discussion). J. R. Statist. Soc. B, 49, 1-39.
    • (1987) J. R. Statist. Soc. B , vol.49 , pp. 1-39
    • Cox, D.1    Reid, N.2
  • 11
    • 0000888765 scopus 로고
    • A general definition of residuals
    • Cox, D. and Snell, E. (1968). A general definition of residuals. J. R. Statist. Soc. B, 30, 248-275.
    • (1968) J. R. Statist. Soc. B , vol.30 , pp. 248-275
    • Cox, D.1    Snell, E.2
  • 12
    • 0009248912 scopus 로고    scopus 로고
    • Modified likelihood ratio and score tests in linear regression models using the t distribution
    • Ferrari, S.L.P. and Arellano-Valle, R. (1996). Modified likelihood ratio and score tests in linear regression models using the t distribution. Braz. J. Prob. Statist., 10, 15-33.
    • (1996) Braz. J. Prob. Statist. , vol.10 , pp. 15-33
    • Ferrari, S.L.P.1    Arellano-Valle, R.2
  • 14
    • 84950441032 scopus 로고
    • Robust statistical modeling using the t distribution
    • Lange, K., Little, R. and Taylor, J. (1989). Robust statistical modeling using the t distribution. J. Am. Statist. Assoc., 84, 881-896.
    • (1989) J. Am. Statist. Assoc. , vol.84 , pp. 881-896
    • Lange, K.1    Little, R.2    Taylor, J.3
  • 15
    • 0000486327 scopus 로고
    • A general method for approximating to the distribution of likelihood ratio criteria
    • Lawley, D. (1956). A general method for approximating to the distribution of likelihood ratio criteria. Biometrika, 43, 295-303.
    • (1956) Biometrika , vol.43 , pp. 295-303
    • Lawley, D.1
  • 17
    • 0018824137 scopus 로고
    • Bias and efficiency in logisitc analysis of stratified case-control studies
    • Pike, M., Hill, A. and Smith, P. (1980). Bias and efficiency in logisitc analysis of stratified case-control studies. Int. J. Epidemiol., 9, 89-95.
    • (1980) Int. J. Epidemiol. , vol.9 , pp. 89-95
    • Pike, M.1    Hill, A.2    Smith, P.3
  • 19
    • 84949690361 scopus 로고
    • Estimation of parameters of a regression model with a multivariate t error variable
    • Sutradhar, B. and Ali, M. (1986). Estimation of parameters of a regression model with a multivariate t error variable. Comm. Statist. - Theory and Methods, 15, 429-450.
    • (1986) Comm. Statist. - Theory and Methods , vol.15 , pp. 429-450
    • Sutradhar, B.1    Ali, M.2
  • 20
    • 26844578793 scopus 로고    scopus 로고
    • Approximate bias for multivariate nonlinear heteroscedastic regressions
    • Vasconcellos, K.L.P. and Cordeiro, G.M. (1997). Approximate bias for multivariate nonlinear heteroscedastic regressions. Braz. J. Prob. Statist., 11, 141-159.
    • (1997) Braz. J. Prob. Statist. , vol.11 , pp. 141-159
    • Vasconcellos, K.L.P.1    Cordeiro, G.M.2
  • 21
    • 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, 431-439.
    • (1984) J. R. Statist. Soc. B , vol.46 , pp. 431-439
    • West, M.1
  • 23
    • 0023346284 scopus 로고
    • Bias correction for a generalized log-gamma regression model
    • Young, D. and Bakir, S. (1987). Bias correction for a generalized log-gamma regression model. Technometrics, 29, 183-191.
    • (1987) Technometrics , vol.29 , pp. 183-191
    • Young, D.1    Bakir, S.2
  • 25
    • 0000723104 scopus 로고
    • Bayesian and non-Bayesian analysis of the regression model with multivariate Student-t error terms
    • Zellner, A. (1976). Bayesian and non-Bayesian analysis of the regression model with multivariate Student-t error terms. J. Am. Statist. Assoc., 71, 400-405.
    • (1976) J. Am. Statist. Assoc. , vol.71 , pp. 400-405
    • Zellner, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.