Parameter estimation in astronomy through application of the likelihood ratio

Statistics – Applications

Scientific paper

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Astronomical Models, Data Processing, Parameterization, Statistical Analysis, Confidence Limits, Data Sampling, Galactic Clusters, Normal Density Functions, Photons, X Ray Telescopes

Scientific paper

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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