Abstract
In this paper a specific inverse astronomical problem is treated. We study the problem of inferring the spatial density profile of a spherically symmetric stellar system from values of its surface density or from discrete data as the projected positions of its stars on the plane of sky. Non parametric techniques were used based on the least-squares method or on the maximum likelihood estimation. The smoothness of the resulting profiles is increased by the method of regularization.
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References
Craig, I.J.D. and Brown, J.C.: 1986,Inverse Problems in Astronomy, Adam Hilger, Boston.
Good, I.J. and Gaskins, R.A.: 1971,Biometrika 58, 255.
James, F. and Roos, M.: 1989,Minimization Routine MINUIT, CERN Computer Centre Program Library.
Jaynes, E.T., in D.W. McLaughlin (ed.),SIAM AMS Proceedings, vol. 14. Inverse Probles, American Mathematical Society, Providence, p. 151.
Merritt, D.: 1993,Structure Dynamics and Chemical Evolution of Elliptical Galaxies, I.J. Danziger, W.W. Zeilinger, and K. Kjar (eds.), ESO, Munich, p. 275.
Merritt, D. and Tremblay, B.: 1994,Astron. J. 108, 514.
O'Sullivan, F.: 1986,Stat. Sci. 1, 502.
Tapia, R.A. and Thompson, J.R.: 1978,Nonparametric Probability Density Estimation, Johns Hopkins University, Baltimore.
Trumpler, J.R. and Weaver, F.H.: 1953,Statistical Astronomy, University of California Press, Berkeley and Los Angeles.
Wahba, J.: 1977,SIAM J. Numer. Anal. 14, 651.
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Hiotelis, N., Bamias, I.V. Non-parametric methods in density profile estimation of stellar systems. Astrophys Space Sci 229, 129–138 (1995). https://doi.org/10.1007/BF00658571
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DOI: https://doi.org/10.1007/BF00658571