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Experimental Astronomy

, Volume 1, Issue 3, pp 145–163 | Cite as

Statistical data analysis for gamma-ray astronomy

  • S. N. Zhang
  • D. Ramsden
Article

Abstract

Significance testing, parameter estimation and sensitivity calculations for γ-ray telescopes are discussed for single ‘on-off” astronomical observations. Four widely used significance test methods are examined by Monte-Carlo simulations. The Maximum Likelihood Ratio Method is found to consistently over-estimate the significance of an observation by a few percents whereas the Fisher's Exact Test is shown to be slightly conservative and always under-estimates the significance by about the same amount when the reported significance is about 3σ and therefore it is preferred for γ-ray astronomy applications. Two methods for constructing a confidence interval and an upper limit for γ-ray source counts are discussed. It is found that the method based on the Smooth Transformation provides slightly better estimations. A new formula for the calculation of the sensitivity of a γ-ray telescope is presented, in contrast to the widely accepted one, and their statistical meanings are explained in detail.

Keywords

Confidence Interval Data Analysis Parameter Estimation Likelihood Ratio Statistical Data 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • S. N. Zhang
    • 1
  • D. Ramsden
    • 1
  1. 1.Department of PhysicsThe University of SouthamptonSouthamptonU.K.

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