Robust estimation with application to Hipparcos minor planet data

European Space Agency, (Special Publication) ESA SP

Volumn , Issue 402, 1997, Pages 165-168

  Bougeard, M L ^a,b   Bange, J F ^c   Caquineau, C ^a   Bec Borsenberger, A ^c  

^a UNIVERSITÉ LYON 1   (France)

^b OBSERVATOIRE DE PARIS   (France)

^c Bureau des Longitudes   (France)

Author keywords

Huber M regression; L1 fit; Minor planets; Parallel algorithms; Robust estimation; Space astrometry

Indexed keywords

EID: 5244272518     PISSN: 03796566     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (11)

1. Bange J-F., Bec-Borsenberger A., 1997, Determination of the Masses of Minor Planets, ESA SP-402, this volume
2. Bec-Borsenberger A., Bange J-F., Bougeard M-L., 1995, A&A, 304, 176
3. Bougeard, M. L., Bange J.-F., Mahfouz M., BecBorsenberger A., 1996, Dynamics and astrometry of the solar system, IAU symposium 172 Proc., eds S. Ferraz-Mello et al., Kluwer Acad. Publ., 447
4. Bougeard M-L., Caquineau C.D., 1996 Parallel Primal-Dual Algorithms for Robust Estimation, preprint Univ. Lyon1-UCBL, submitted Annals of O.R.
5. Brezis, 1973, Opérateurs maximaux monotones, Math. Studies North Holland
6. Hampel P.W., Ronchetti E.M., Rousseeuw, P.J., Stahel W.A., 1986, Robust Statistics, Wiley New York
7. Michelot C., Bougeard M.L., 1994, Duality results and proximal solutions of the Huber-M estimator problem, J. Optimization Theory and Appl., 30, 203
8. Rockafellar R.T.,1970, Convex Analysis, Princeton University Press
9. Spingarn J.E.,1983, Partial inverse of a monotone operator, J.Appl. Math. Optimization, 10, 247
10. Standish E. M. Jr, 1990, A&A, 233, 252
11. Thinking Machine, 1994, CM-Scientific Subroutines Library for CM Fortran, Volumes I and II