Extracting distribution parameters from multiple uncertain observations with selection biases 论文

详细信息

发表期刊/会议

Monthly Notices of the Royal Astronomical Society

发表日期

2019-03-27

发表年份

2019

摘要

We derive a Bayesian framework for incorporating selection effects into population analyses. We allow for both measurement uncertainty in individual measurements and, crucially, for selection biases on the population of measurements, and show how to extract the parameters of the underlying distribution based on a set of observations sampled from this distribution. We illustrate the performance of this framework with an example from gravitational-wave astrophysics, demonstrating that the mass ratio distribution of merging compact-object binaries can be extracted from Malmquist-biased observations with substantial measurement uncertainty.