Sharpening Wald-type inference in robust regression for small samples

Computational Statistics and Data Analysis

Volumn 55, Issue 8, 2011, Pages 2504-2515

  Koller, Manuel ^a   Stahel, Werner A ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

MM estimator; Robust inference; Robust regression

Indexed keywords

ADAPTIVE SCALE; ASYMPTOTICS; DATA EXAMPLES; DATA SETS; MM-ESTIMATOR; PREDICTION INTERVAL; ROBUST INFERENCE; ROBUST REGRESSIONS; SIMULATION STUDIES; SMALL SAMPLES; STATISTICAL ANALYSIS; TYPE INFERENCES;

REGRESSION ANALYSIS;

ESTIMATION;

EID: 79954601965     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2011.02.014     Document Type: Article

References (22)

1. J. Berrendero, B. Mendes, and D. Tyler On the maximum bias functions of MM-estimates and constrained M-estimates of regression Annals of Statistics 35 1 2007 13
2. A. Brazzale, A. Davison, and N. Reid Applied Asymptotics: Case Studies in Small-sample Statistics 2007 Cambridge University Press
3. D.R. Cox, and E.J. Snell Applied Statistics 1981 Chapman and Hall London
4. Croux, C., Dhaene, G., Hoorelbeke, D., 2003. Robust standard errors for robust estimators. Tech. Rep., Dept. of Applied Economics, K.U. Leuven.
5. A.C. Davison, and D.V. Hinkley Bootstrap Methods and Their Application 1997 Cambridge University Press
6. C. Fernndez, and M. Steel On Bayesian modeling of fat tails and skewness Journal of the American Statistical Association 93 441 1998 359 371
7. F. Hampel, E. Ronchetti, P. Rousseeuw, and W. Stahel Robust Statistics: The Approach Based on Influence Functions 1986 Wiley NY
8. C. Hennig Efficient high breakdown point estimators in robust regression: which function to choose Statistics & Decisions 13 1995 221 241
9. P. Huber Robust regression: asymptotics, conjectures and Monte Carlo The Annals of Statistics 1 5 1973 799 821
10. P.J. Huber, and E.M. Ronchetti Robust Statistics 2009 Wiley NY
11. King, R., Anderson, E., 2004. skewt: The Skewed Student-t Distribution. R package version 0.1. http://CRAN.R-project.org/package=skewt.
12. Koller, M., 2011. Simulations for sharpening Wald-type inference in robust regression for small samples. Vignette of robustbase: Basic Robust Statistics, R package version 0.7-0. http://CRAN.R-project.org/package= robustbase.
13. R.A. Maronna, R.D. Martin, and V.J. Yohai Robust Statistics, Theory and Methods 2006 Wiley NY
14. R.A. Maronna, and V.J. Yohai Correcting MM estimates for "fat" data sets Computational Statistics & Data Analysis 54 12 2010 3168 3173
15. R. Martin, V. Yohai, and R. Zamar Minmax bias robust regression The Annals of Statistics 17 4 1989 1608 1630
16. R Development Core Team. 2010. R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. http://www.R-project.org.
17. Rousseeuw, P., Croux, C., Todorov, V., Ruckstuhl, A., Salibian-Barrera, M., Verbeke, T., Koller, M., Maechler, M., 2011. robustbase: basic robust statistics. R package version 0.7-0. http://CRAN.R-project.org/package= robustbase.
18. M. Svarc, V. Yohai, and R. Zamar Optimal bias-robust M-estimates of regression Y. Dodge, Statistical Data Analysis Based on the L1 Norm and Related Methods 2002 Birkhuser 191 200
19. Wang, J., Zamar, R., Marazzi, A., Yohai, V., Salibian-Barrera, M., Maronna, R., Zivot, E., Rocke, D., Martin, D., Maechler, M., Konis, K., 2010. robust: Insightful robust library. R package version 0.3-11. http://CRAN.R-project.org/package=robust.
20. V. Yohai High breakdown-point and high efficiency robust estimates for regression The Annals of Statistics 15 2 1987 642 656
21. V. Yohai, W. Stahel, and R. Zamar A procedure for robust estimation and inference in linear regression Stahel Weisberg Directions in Robust Statistics and Diagnostics 1991 Springer NY 365 374
22. V. Yohai, and R. Zamar Optimal locally robust M-estimates of regression Journal of Statistical Planning and Inference 64 2 1997 309 323 (Pubitemid 127161732)