Extracting distribution parameters from multiple uncertain observations with selection biases

Document #:

LIGO-P1600187-v1

Document type:

P - Publications

Abstract:

We derive a Bayesian framework for extracting the parameters of the underlying distribution based on a set of observations sampled from this distribution. We allow for both measurement uncertainty in individual measurements and, crucially, for selection biases on the measurements.

Files in Document:

• selection.pdf (171.4 kB)

Topics:

• Data Analysis

Authors:

• Ilya Mandel
• Will Farr
• Jonathan Gair