The Value of H 0 from Gaussian Processes

A new non-parametric method based on Gaussian Processes (GP) was proposed recently to measure the Hubble constant H ₀. The freedom in this approach comes in the chosen covariance function, which determines how smooth the process is and how nearby points are correlated. We perform coverage tests with a thousand mock samples within the ΛCDM model in order to determine what covariance function provides the least biased results. The function Matérn(5/2) is the best with sligthly higher errors than other covariance functions, although much more stable when compared to standard parametric analyses.