Approaches to robust estimation in the simplest variance components model

Journal of Statistical Planning and Inference

Volumn 57, Issue 2, 1997, Pages 295-319

  Stahel, Werner A ^a   Welsh, Alan ^b  

^a ETH ZURICH   (Switzerland)

^b AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

Approaches to robust statistics; Huberizing; Random effects; Robust maximum likelihood

Indexed keywords

EID: 0031065931     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(96)00050-x     Document Type: Article

References (20)

1. Andrews, D.F., P.J. Bickel, F.R. Hampel, P.J. Huber, W.H. Rogers and J.W. Tukey (1972). Robust Estimates of Location: Survey and Advances. Princeton University Press, Princeton, NJ.
2. Denby, L. and C. Mallows (1988). Robust analysis of mixed models, unpublished manuscript.
3. Fellner, W.H. (1986). Robust estimation of variance components. Technometrics 28(1), 51-60.
4. Hampel, F.R. (1974) The influence curve and its role in robust estimation. J. Amer. Statist. Assoc. 69, 383-393.
5. Hampel, F.R., E.M. Ronchetti, P.J. Rousseeuw and W.A. Stahel (1986). Robust Statistics: The Approach Based on Influence Functions. Wiley, New York.
6. Harville, D.A. (1977). Maximum likelihood approaches to variance component estimation and to related problems. J. Amer. Statist. Assoc. 72, 320-340.
7. Henderson, C.R. (1963). Selection index and expected genetic advance. In: N.R. Council, Ed., Statistical Genetics and Plant Breeding, Vol. Publication No. 982. National Academy of Sciences, 141-163.
8. Huber, P.J. (1964). Robust estimation of a location parameter. Ann. Math. Statist. 35, 73-101.
9. Huber, P.J. (1981). Robust Statistics. Wiley, New York.
10. La Motte, L.R. (1973). Quadratic estimation of variance components. Biometrics 29, 311-30.
11. Martin, R.D. and R.H. Zamar (1989). Asymptotically min-max robust m-estimates of scale for positive random variables. J. Amer. Statisti. Assoc. 84(406), 494-501.
12. Patterson, H.D. and R. Thompson (1971). Recovery of interblock information when block sizes are unequal. Biometrika 58, 545-554.
13. Rao, C.R. (1971a). Estimation of variance and covariance components. J. Multivariate Anal 1, 257-275.
14. Rao, C.R. (1971b). Minimum variance quadratic unbiased estimation of variance components. J. Multivariate Analysis 1, 445-456.
15. Rocke, D.M. (1983). Robust statistical analysis of interlaboratory studies. Biometrika 70, 421-431.
16. Rocke, D.M. (1991). Robustness and balance in the mixed model. Biometrics 47, 303-309.
17. Searle, S.R. (1982). Matrix Algebra Useful for Statistics. Wiley, New York.
18. Stahel W.A. and A. Welsh (1992). Robust estimation of variance components. Technical Report 69, Seminar für Statistik, ETH, Zurich
19. Youden, W.J. (1975). Statistical techniques for collaborative tests, In: Statistical Manual of the Association of Official Analytical Chemists. Association of Analytical Chemists, Arlington, VA.
20. Zielinski, W. (1982). On robust estimation of variance components. Probab. Statist. 7(2), 95-102.