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We present GalMC, a MCMC algorithm designed to fit the spectral energydistributions (SED) of galaxies to infer physical properties such as age,stellar mass, dust reddening, metallicity, redshift, and star formation rate.We describe the features of the code and the extensive tests conducted toensure that our procedure leads to unbiased parameter estimation and accurateevaluation of uncertainties. We compare its performance to grid-basedalgorithms, showing that the efficiency in CPU time is ~ 100 times better forMCMC for a three dimensional parameter space and increasing with the number ofdimensions. We use GalMC to fit the stacked SEDs of two samples of Lyman AlphaEmitters (LAEs) at redshift z=3.1. Our fit reveals that the typical LAEdetected in the IRAC 3.6 micron band has age = 0.67 [0.37 - 1.81] Gyr andstellar mass = 3.2 [2.5 - 4.2] x 10^9 M_Sun, while the typical LAE not detectedat 3.6 micron has age = 0.06 [0.01-0.2] Gyr and stellar mass = 2 [1.1 - 3.4] x10^8 M_Sun. The SEDs of both stacks are consistent with the absence of dust.The data do not significantly prefer exponential with respect to constant starformation history. The stellar populations of these two samples are consistentwith the previous study by Lai et al, with some differences due to the improvedmodeling of the stellar populations. A constraint on the metallicity of z=3.1LAEs from broad-band photometry, requiring Z < Z_Sun at 95% confidence, isfound here for the first time.

SED fitting with Markov Chain Monte Carlo: Methodology and Application to z=3.1 Lyman Alpha Emitting Galaxies