  In order to perform Bayesian parameter estimation to infer the source
properties of gravitational waves from compact binary coalescences (CBCs), the
noise characteristics of the detector must be understood. It is typically
assumed that the detector noise is stationary and Gaussian, characterized by a
power spectral density (PSD) that is measured with infinite precision. We
present a new method to incorporate the uncertainty in the power spectral
density estimation into the Bayesian inference of the binary source parameters
and apply it to the first 11 CBC detections reported by the LIGO- Virgo
Collaboration. We find that incorporating the PSD uncertainty only leads to
variations in the positions and widths of the binary parameter posteriors on
the order of a few percent. Our results are publicly available for download on
git [1].
