Small sample bias correction for Huber's Proposal-2 scale M-estimator

Australian and New Zealand Journal of Statistics

Volumn 46, Issue 4, 2004, Pages 649-656

  Clarke, Brenton R ^a   Milne, Christopher J ^b  

^a MURDOCH UNIVERSITY   (Australia)

^b Data Analysis Australia   (Australia)

Author keywords

M estimators; Small sample bias correction

Indexed keywords

EID: 11844256944     PISSN: 13691473     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1467-842X.2004.00359.x     Document Type: Article

References (12)

1. BERRY, D.A. & LINDGREN, B.W. (1996). Statistics: Theory and Methods, 2nd edn. New York: Duxbury Press.
2. CABRERA, J. & FERNHOLZ, L.T. (1999). Target estimation for bias and mean square error reduction. Ann. Statist. 27, 1080-1104.
3. CLARKE, B.R. (1986). Nonsmooth analysis and Fréchet differentiability of M-functionals. Probab. Theory Related Fields 73, 197-209.
4. COX, D.R. & HINKLEY, D.V. (1974). Theoretical Statistics. London: Chapman and Hall.
5. CUSHNY, A.R. & PEEBLES, A.R. (1905). The action of optical isomers. II. Hyoscines. J. Physiol. 32, 501-510.
6. DE ROSSI, F. & GATTO, R. (2001). Higher order expansions for robust tests. Biometrika 88, 1153-1168.
7. HAMPEL, F.R., RONCHETTI, E.M., ROUSSEEUW, P.J. & STAHEL, W.A. (1986). Aobust Statistics: The Approach Based on Influence Functions. New York: Wiley.
8. HUBER, P.J. (1964). Robust estimation of a location parameter. Ann. Math. Statist. 35, 73-101.
9. HUBER, P.J. (1970). Studentizing robust estimators. In Non-parametric Techniques in Statistical Inference, ed. Madan lal Puri, pp.453-463. Cambridge: Cambridge University Press.
10. HUBER, P.J. (1981). Robust Statistics. New York: Wiley.
11. JOHNSON, N.L. & KOTZ, S. (1970). Continuous Univariate Distributions-1. Boston: Houghton Mifflin Company.
12. KENDALL, M. & STUART, A. (1979). The Advanced Theory of Statistics Volume 2: Inference and Relationship, 4th edn. London: Charles Griffin & Company Limited.