Principled Detection and Upper Limits in Surveys: An Example

Statistics – Computation

Scientific paper

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Scientific paper

We illustrate the computation of principled detection limits and upper limits in a survey of possible X-ray sources. We use a fully model-based Bayesian method that takes account of uncertainly due to the Poisson nature of the background-contaminated data. The subtle relationship between the choice of detection limit and the resulting upper limits for undetected sources will be discussed.

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