LIGO Document G1200346-v1
- Distinguishing signals from noise is often aided by setting thresholds on the value of the detection statistic. In the fortunate case of having detected multiple events above this threshold (e.g. in the advanced detector era) we will be able to perform inference on the physical parameters governing the population of sources. We expand upon existing work on astrophysical rates estimates for single detections by developing a fully Bayesian approach. This allows us to naturally incorporate multiple events and informs us of the strong influence of the detection statistic threshold. In general, incorrect handling of this threshold can significantly bias inference on global parameters.
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