Semiparametric Bayesian measurement error modeling

Journal of Multivariate Analysis

Volumn 101, Issue 3, 2010, Pages 512-524

  Casanova, María P ^a   Iglesias, Pilar ^b   Bolfarine, Heleno ^c   Salinas, Victor H ^d   Peña, Alexis ^b  

^a UNIVERSITY OF CONCEPCIÓN   (Chile)

^b PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE   (Chile)

^c UNIVERSITY OF SÃO PAULO   (Brazil)

^d UNIVERSIDAD DE SANTIAGO DE CHILE   (Chile)

Author keywords

Classical measurement error model; Dirichlet process; Gibbs sampling; Hierarchical elliptical model; Posterior distribution

Indexed keywords

EID: 72549113577     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2009.11.004     Document Type: Article

References (19)

1. Fuller W. Measurement Error Models (1987), Wiley, New York
2. Carroll R.J., Ruppert D., Stefanski L.A., and Crainiceanu C.M. Measurement Errors in Nonlinear Models: A Modern Perspective. second ed. (2006), Chapman & Hall/CRC
3. Carroll R.J., Stefanski L.A., and Ruppert D. Measurement Errors in Nonlinear Models: A Modern Perspective. second ed. (2006), Taylor and Francis, London
4. Dellaportas D., and Stephens D.A. Bayesian analysis of error in variables regression models. Biometrics 51 (1995) 1085-1095
5. Mallik B.K., and Gelfand A.E. Error in variables models: A Bayesian approach. Biometrika 81 (1999) 237-245
6. Richardson S., and Gilks W.R. A Bayesian approach to measurement error problems in epidemiology using conditional independence models. American Journal of Epidemiology 13 (1993) 430-442
7. Bolfarine H., and Arellano-Valle R.B. Elliptical measurement error models - A Bayesian approach. In: Rao C.R., and Dey D.K. (Eds). Handbook of Statistics, vol. 25 (2006) 669-689
8. Muller P., and Roeder K. A Bayesian semiparametric model for case-control studies with error in variables. Biometrika 84 (1997) 523-537
9. Berkson J. Are there two regressions?. Journal of the American Statistical Association 45 (1950) 164-180
10. Fang K.T., Kotz S., and Ng K.N. Symmetric Multivariate and related Multivariate and Related Distributions (1990), Chapman and Hall, London
11. Arellano-Valle R.B., del Pino G., and Iglesias P. Bayesian inference in spherical linear models: Robustness and conjugate analysis. Journal of Multivariate Analysis 79 (2006) 174-197
12. Zellner A. Bayesian and non-bayesian analysis of the regression model with multivariate student-t errors terms. Journal of the American Statistical Association 71 354 (1976) 400-405
13. Nakamura T. Corrected score function for error-in-variables models: Methodology and application to generalized linear models. Biometrika 77 (1990) 127-137
14. Escobar M.D., and West M. Bayesian density estimation and inference using mixtures. Journal of the American Statistical Association 85 (1995) 378-409
15. Escobar M.D., and West M. Computing nonparametric hierarchical models. In: Müller P., and Vidakovic B. (Eds). Practical Nonparametric and Semiparametric Bayesian Statistics (1998), Springer, New York 1-22
16. Ferguson T. A Bayesian analysis of some nonparametric problems. Annals of Statistics 1 (1973) 209-230
17. Bush C., and MacEachern S.N. A semi-parametric Bayesian model for randomized block designs. Biometrika (1996) 275-285
18. Wellman J.M., and Gunst R.F. Influence diagnostic for linear measurement error models. Biometrika 78 (1991) 373-380
19. Vidal I., Iglesias P., and Galea-Rojas M. Influential observations in the functional measurement error model. Journal of Applied Statistics 34 10 (2007) 1165-1183