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Original Articles

Bayesian analysis for a skew extension of the multivariate null intercept measurement error model

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Pages 1239-1251 | Published online: 10 Oct 2008

References

  • Aoki , R. , Bolfarine , H. and Singer , J. M. 2001 . Null intercept measurement error regression models . TEST , 10 : 441 – 454 .
  • Aoki , R. , Bolfarine , H. , Achcar , J. A. and Leão Pinto , D. Jr. 2003 . Bayesian analysis of a multivariate null intercept error-in-variables regression model . J. Biopharm. Stat , 13 ( 4 ) : 763 – 771 .
  • Aoki , R. , Pinto , J. , Achcar , J. A. and Bolfarine , H. 2006 . Mixture of normal distributions in multivariate null intercept measurement error model . J. Biopharm. Stat. , 16 : 785 – 802 .
  • Arellano-Valle , R. B. , Bolfarine , H. and Lachos , V. H. 2005 . Skew-normal linear mixed models . J. Data Science , 3 : 15 – 438 .
  • Arnold , B. C. and Beaver , R. J. 2002 . Skewed multivariate models related to hidden truncation and/or selective reporting . Test , 11 : 7 – 54 .
  • Azzalini , A. 1985 . A class of distributions which includes the normal ones . Scand. J. Stat. , 12 : 171 – 178 .
  • Azzalini , A. and Capitanio , A. 1999 . Statistical applications of the multivariate skew normal distribution . J. R. Stat. Soc. , 61 : 579 – 602 .
  • Azzalini , A. and Capitanio , A. 2003 . Distributions generated by perturbation of symmetry with emphasis on the multivariate skew-t distribution . J. R. Stat. Soc. Ser. B , 65 : 367 – 389 .
  • Azzalini , A. and Dalla-Valle , A. 1996 . The multivariate skew-normal distribution . Biometrika , 83 : 715 – 726 .
  • Branco , M. and Dey , D. 2001 . A general class of multivariate skew-elliptical distribution . J. Multivariate Anal. , 79 : 93 – 113 .
  • Brooks , S. P. 2002 . Discussion on the paper by Spiegelhalter, Best, Carlin, and van de Linde . J. R. Stat. Soc. Ser. B , 64 ( 3 ) : 616 – 618 .
  • Carlin , B. P. and Louis , T. A. 2000 . Bayes and Empirical Bayes Methods for Data Analysis Essays on Item Response Theory , 2 , New York : Chapman & Hall .
  • Carrol , R. J. , Ruppert , D. , Stefanski , L. A. and Crainiceanu , C. M. 2006 . Measurement Error in Nonlinear Models: a Modern Perspective , 2 , New York : Chapman & Hall .
  • Cheng , C. L. and Ness , V. 1999 . Statistical Regression with Measurement Error , 1 , Oxford, New York : University Press .
  • Cox , D. R. and Hinkley , D. V. 1974 . Theoretical Statistics , London : Chapman & Hall .
  • Fuller , A. 1987 . Measurement Error Models , 1 , New York : Wiley .
  • Gelfand , A. E. 1996 . “ Model determination using sampling based methods ” . In Markov Chain Monte Carlo in Practice , Edited by: Gilks , W. R. , Richardson , S. and Spiegelhalter , D. J. 145 – 161 . London : Chapman & Hall .
  • Gelman , A. and Rubin , D. 1992 . Inference from iterative simulation using multiple sequences . Stat. Sci. , 7 : 457 – 511 .
  • Genton , M. G. and Loperfido , N. 2005 . Generalized skew-elliptical distributions and their quadratic forms . Ann. Inst. Math. , 57 : 389 – 401 .
  • Hadgu , A. and Koch , G. 1999 . Application of generalized estimating equations to a dental randomized clinical trial . J. Biopharm. Stat. , 9 : 161 – 178 .
  • Johnson , N. L. , Kotz , S. and Balakrishnan , N. 1994 . Continuous Univariate Distributions , Vol. 1 , New York : John Wiley .
  • Labra , F. , Aoki , R. and Bolfaine , H. 2005 . Local influence in null intercept measurement error regression under a student-t model . J. Appl. Stat. , 32 : 723 – 740 .
  • Lachos , V. H. , Bolfarine , H. , Arellano-Valle , R. B. and Montenegro , L. C. 2007 . Likelihood based inference for multivariate skew-normal regression models . Comm. Stat. Theory Methods , 36 : 1769 – 1786 .
  • Laud , P. W. and Ibrahim , J. G. 1995 . Predictive model selection . J. R. Stat. Soc. Ser. B , 57 : 247 – 262 .
  • Sahu , S. K. , Dey , D. K. and Branco , M. D. 2003 . A new class of multivariate skew distributions with applications to Bayesian regression models . The Canad. J. Stat. , 31 : 129 – 150 .
  • Spiegelhalter , D. J. , Best , N. G. , Carlin , B. P. and Linde , A. V. 2002 . Bayesian measures of model complexity and fit . J. R. Stat. Soc , 64 ( 3 ) : 583 – 639 .
  • Wahed , A. and Ali , M. M. 2001 . The skew-logistic distribution . J. Stat. Res. , 35 : 71 – 80 .
  • Wang , J. and Genton , M. 2006 . The multivariate skew-slash distribution . J. Stat. Plann. Inference , 136 : 209 – 220 .

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