Robust weighting in least-squares fits

Journal of Molecular Spectroscopy

Volumn 219, Issue 2, 2003, Pages 326-328

  Watson, James K G ^a  

^a NATIONAL RESEARCH COUNCIL CANADA   (Canada)

Author keywords

Robust fitting; Weighted least squares

Indexed keywords

ERRORS; ESTIMATION; LEAST SQUARES APPROXIMATIONS; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; STATISTICAL METHODS;

ROBUST FITTING;

SPECTROSCOPY;

EID: 0037713335     PISSN: 00222852     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-2852(03)00100-0     Document Type: Article

References (17)

1. D.L. Albritton, A.L. Schmeltekopf, R.N. Zare, in: K. Narahari Rao (Ed.), Molecular Spectroscopy: Modern Research, vol. II, Academic Press, New York, 1976, pp. 1-67.
2. V. Barnett, T. Lewis, Outliers in Statistical Data, third ed., Wiley, Chichester, 1994.
3. P.J. Rousseeuw, A.M. Leroy, Robust Regression and Outlier Detection, Wiley, New York, 1987.
4. W.H. Press, S.A. Teukolsky, W.T. Vetterling, B.P. Flannery, Numerical Recipes: The Art of Scientific Computing, second ed., Cambridge University Press, Cambridge, 1992.
5. A.F. Ruckstuhl, W.A. Stahel, K. Dressler, J. Mol. Spectrosc. 160 (1993) 434.
6. R.J. Le Roy, J. Mol. Spectrosc. 191 (1998) 223.
7. P.J. Huber, Robust Statistics, Wiley, New York, 1981.
8. A. Marazzi, Algorithms, Routines, and S Functions for Robust Statistics, Wadsworth and Brooks/Cole, Pacific Grove, CA, 1993.
9. H. Jeffreys, Philos. Trans. Roy. Soc. Lond. A 237 (1938) 231.
10. F.R. Hampel, E.M. Ronchetti, P.J. Rousseeuw, W.A. Stahel, Robust Statistics: The Approach Based on Influence Functions, Wiley, New York, 1986.
11. K.L. Lange, R.J.A. Little, J.M.G. Taylor, J. Am. Stat. Assoc. 84 (1989) 881.
12. G.H. Dieke, F.S. Tomkins, Phys. Rev. 82 (1951) 796.
13. L. Kao, T. Oka, S. Miller, J. Tennyson, Astrophys. J. Suppl. Ser. 77 (1991) 317.
14. J.K.G. Watson, J. Mol. Spectrosc. 165 (1994) 283.
15. J.K.G. Watson, Can. J. Phys. 72 (1994) 702.
16. I. Dabrowski, D.W. Tokaryk, J.K.G. Watson, J. Mol. Spectrosc. 189 (1998) 95.
17. I. Dabrowski, D.W. Tokaryk, R.H. Lipson, J.K.G. Watson, J. Mol. Spectrosc. 189 (1998) 110.