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Title:
Parameter estimation in astronomy through application of the likelihood ratio
Authors:
Cash, W.
Affiliation:
AA(California, University, Berkeley, Calif.)
Publication:
Astrophysical Journal, Part 1, vol. 228, Mar. 15, 1979, p. 939-947. (ApJ Homepage)
Publication Date:
03/1979
Category:
Astronomy
Origin:
STI
NASA/STI Keywords:
Astronomical Models, Data Processing, Parameterization, Statistical Analysis, Confidence Limits, Data Sampling, Galactic Clusters, Normal Density Functions, Photons, X Ray Telescopes
DOI:
10.1086/156922
Bibliographic Code:
1979ApJ...228..939C

Abstract

Many problems in the experimental estimation of parameters for models can be solved through use of the likelihood ratio test. Applications of the likelihood ratio, with particular attention to photon counting experiments, are discussed. The procedures presented solve a greater range of problems than those currently in use, yet are no more difficult to apply. The procedures are proved analytically, and examples from current problems in astronomy are discussed.

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