Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...150..273s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 150, no. 2, Sept. 1985, p. 273-275.
Astronomy and Astrophysics
Astronomy
16
Gamma Ray Astronomy, Multivariate Statistical Analysis, Statistical Correlation, Error Analysis, Likelihood Ratio, Matrices (Mathematics)
Scientific paper
A framework for a general likelihood analysis of correlation problems typified by that of gamma rays with other components of the galaxy is presented. The multivariate 'information matrix' contains the essential results for any particular combination of datasets, and its use solves the general problem of how to deal with the interdependence of the errors on the model parameters. By diagonalizing the information matrix and performing various operations any particular set of parameters can be isolated analytically, and explicit formulae for doing this are derived. The presentation has the advantage of being concise and practical; it is therefore proposed as a standard for communication of results in this field.
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