%0 Journal Article %T Marginal likelihoods of distances and extinctions to stars: computation and compact representation %+ Institut d'Astrophysique de Paris (IAP) %A Sale, S. E. %A Magorrian, J. %< avec comité de lecture %@ 0035-8711 %J Monthly Notices of the Royal Astronomical Society %I Oxford University Press (OUP): Policy P - Oxford Open Option A %V 448 %P 1738-1750 %8 2015 %D 2015 %Z 1411.5024 %Z 2015MNRAS.448.1738S %R 10.1093/mnras/stv068 %K methods: statistical %K stars: distances %K dust %K extinction %K Astrophysics - Astrophysics of Galaxies %K Astrophysics - Instrumentation and Methods for Astrophysics %K Astrophysics - Solar and Stellar Astrophysics %Z Sciences of the Universe [physics] %Z Sciences of the Universe [physics]/Astrophysics [astro-ph]Journal articles %X We present a method for obtaining the likelihood function of distance and extinction to a star given its photometry. The other properties of the star (its mass, age, metallicity and so on) are marginalized assuming a simple Galaxy model. We demonstrate that the resulting marginalized likelihood function can be described faithfully and compactly using a Gaussian mixture model. For dust mapping applications we strongly advocate using monochromatic over bandpass extinctions, and provide tables for converting from the former to the latter for different stellar types. %G English %2 https://insu.hal.science/insu-03644976/document %2 https://insu.hal.science/insu-03644976/file/stv068.pdf %L insu-03644976 %U https://insu.hal.science/insu-03644976 %~ INSU %~ CNRS %~ IAP %~ SORBONNE-UNIVERSITE %~ SU-INF-2018 %~ SU-SCIENCES %~ SU-TI %~ ALLIANCE-SU