A Bayesian Method for the Extinction

TL;DR

This paper introduces a Bayesian approach to accurately estimate Galactic extinction parameters, demonstrating high precision and consistency with existing methods using SDSS data.

Contribution

The paper presents a novel Bayesian method for measuring Galactic extinction parameters, achieving high accuracy and validation against simulated and real SDSS data.

Findings

Achieves ~0.01 mag accuracy in extinction measurement

Extinction estimates are consistent with previous studies

Method is promising even with small reddening values

Abstract

We propose a Bayesian method to measure the total Galactic extinction parameters, $R_V$ and $A_V$. Validation tests based on the simulated data indicate that the method can achieve the accuracy of around 0.01\,mag. We apply this method to the SDSS BHB stars in the northern Galactic cap and find that the derived extinctions are highly consistent with those from \cite{SFD98}. It suggests that the Bayesian method is promising for the extinction estimation, even the reddening values are close to the observational errors.