Model-robust regression and a Bayesian "sandwich" estimator

Annals of Applied Statistics

Volumn 4, Issue 4, 2010, Pages 2099-2113

  Szpiro, Adam A ^a   Rice, Kenneth M ^a   Lumley, Thomas ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Bayesian inference; Estimating equations; Linear regression; Robust regression; Sandwich estimator

Indexed keywords

EID: 84870153909     PISSN: 19326157     EISSN: 19417330     Source Type: Journal    
DOI: 10.1214/10-AOAS362     Document Type: Article

References (19)

1. Crainiceanu, C., Ruppert, D. and Wand, M. P. (2005). Bayesian analysis for penalized spline regression using WinBUGS. J. Statist. Soft. 14 1-24.
2. Davison, A. C. and Hinkley, D. V. (1997). Bootstrap Methods and Their Applications. Univ. Cambridge Press.
3. Diehr, P., Madden, C., Martin, D. P., Patrick, D. L. and Mayers, M. (1993). Who enrolled in a state program for the uninsured: Was there adverse selection? Medical Care 31 1093-1105.
4. Diehr, P., Yanez, D., Ash, A. and Hornbrook, M. (1999). Methods for analyzing health care utilization and costs. Annual Review of Public Health 20 125-144.
5. Freedman, D. A. (2006). On the so-called 'Huber sandwich estimator' and 'robust standard errors.' Amer. Statist. 60 299-302.
6. Gasparini, M. (1995). Exact multivariate Bayesian bootstrap distributions of moments. Ann. Statist. 23 762-768.
7. Gauss, C. F. (1809). Theoria Motus Corporum Coelestium in Sectionibus Conicis Solem Ambientum. Friedrich Perthes and I.H. Besser, Hamburg.
8. Huber, P. J. (1967). The behavior of maximum likelihood estimates under nonstandard conditions. In Proceedings of the Fifth Berkeley Symposium on Mathematical Statistic and Probability 1 221-233.
9. Jacobi, C. G. J. (1841). De formatione et proprietatibus determinantum. J. Reine Angew. Math. 22 285-318.
10. Legendre, A. M. (1805). Nouvelles Methodes Pour la Determination des Orbites des Cometes. F. Didot, Paris.
11. Liang, K. Y. and Zeger, S. A. (1986). Longitudinal data analysis using generalized linear models. Biometrika 73 13-22.
12. Lumley, T., Diehr, P., Emerson, S. and Chen, L. (2002). The importance of the normality assumption in large public health data sets. Annual Review of Public Health 23 151-169.
13. Lunn, D. J., Thomas, A. and Best, N. (2000). WinBUGS-a Bayesian modelling framework: Concepts, structure, and extensibility. Statist. Comput. 10 325-337.
14. Rice, K., Lumley, T. and Szpiro, A. (2008). Trading bias for precision: Decision theory for intervals and sets. UW Biostatistics Working Paper Series, Working Paper 336.
15. Royall, R. M. (1986). Model robust confidence intervals using maximum likelihood estimators. Int. Statist. Rev. 54 221-226.
16. Rubin, D. B. (1981). The Bayesian bootstrap. Ann. Statist. 9 130-134.
17. Szpiro, A. A., Rice, K. M. and Lumley, T. (2010). Supplement to "Model robust regression and a Bayesian 'sandwich' estimator". DOI: 10.1214/10-AOAS362SUPP.
18. Wand, M. P. and Ormerod, J. T. (2008). On semiparametric regression with O'Sullivan penalised splines. Aust. N.Z. J. Statist. 50 179-198.
19. White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica 48 817-838.