Bayesian Analysis of RR Lyrae Distances and Kinematics

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

We are using a hierarchical Bayes model to analyze the distances, luminosities, and kinematics of RR Lyrae stars. This model relates these characteristics to the raw data of proper motions, radial velocities, apparent luminosities and metallicities of each star. A combination of Gibbs and Metropolis-Hastings sampling, using latent variables for the actual velocity and luminosity of each star, is used to draw a sample from the full posterior distribution of these variables, and draw inferences on the quantities of interest in the usual way. We have applied our model to the much larger HIPPARCOS database, and we plan also to include metallicity in our model, which has not been done previously.

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