Accuracy Requirements for Empirically-Measured Selection Functions
arXiv:1904.10879 · doi:10.3847/2515-5172/ab1d5f
Abstract
I give formulas for the accuracy to which a selection function must be measured via Monte-Carlo injections in order to have un-biased population inference. The number of found injections scales linearly with the number of objects in the population; the coefficient in front of the linear term depends on both the distribution of injections and the inferred population distribution.
4 pages
References in corpus (6)
- The Rate of Binary Black Hole Mergers Inferred from Advanced LIGO Observations Surrounding GW150914
- Terrestrial Planet Occurrence Rates for the Kepler GK Dwarf Sample
- Does the Black Hole Merger Rate Evolve with Redshift?
- Estimation of the Sensitive Volume for Gravitational-wave Source Populations Using Weighted Monte Carlo Integration
- Measuring Transit Signal Recovery in the Kepler Pipeline II: Detection Efficiency as Calculated in One Year of Data
- Supplement: The Rate of Binary Black Hole Mergers Inferred from Advanced LIGO Observations Surrounding GW150914
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