GPU-accelerated hierarchical Bayesian estimation of luminosity functions using flux-limited observations with photometric noise

[1]  S. Ghosh,et al.  How proper are Bayesian models in the astronomical literature? , 2017, Monthly Notices of the Royal Astronomical Society.

[2]  Thomas J. Loredo,et al.  Bayesian astrostatistics: a backward look to the future , 2012, 1208.3036.

[3]  Brandon C. Kelly,et al.  Measurement Error Models in Astronomy , 2011, 1112.1745.

[4]  R. Johnston.  Shedding light on the galaxy luminosity function , 2011, 1106.2039.

[5]  Matti Vihola,et al.  Robust adaptive Metropolis algorithm with coerced acceptance rate , 2010, Statistics and Computing.

[6]  Xiaohui Fan,et al.  A Flexible Method of Estimating Luminosity Functions , 2008, 0805.2946.

[7]  Eduardo Serrano,et al.  LSST: From Science Drivers to Reference Design and Anticipated Data Products , 2008, The Astrophysical Journal.

[8]  C. Schafer.  A Statistical Method for Estimating Luminosity Functions Using Truncated Data , 2007, astro-ph/0702401.

[9]  B. Garilli,et al.  Bias in the estimation of global luminosity functions , 2004, astro-ph/0402202.

[10]  R. Nichol,et al.  The Galaxy Luminosity Function and Luminosity Density at Redshift z = 0.1 , 2002, astro-ph/0210215.

[11]  V. Narayanan,et al.  Spectroscopic Target Selection in the Sloan Digital Sky Survey: The Main Galaxy Sample , 2002, astro-ph/0206225.

[12]  T. Takeuchi,et al.  Tests of Statistical Methods for Estimating Galaxy Luminosity Function and Applications to the Hubble Deep Field , 2000, astro-ph/0003127.

[13]  Xiaohui Fan,et al.  Simulation of Stellar Objects in SDSS Color Space , 1999, astro-ph/9902063.

[14]  C. Willmer.  Estimating galaxy luminosity functions. , 1997, astro-ph/9707246.

[15]  T. Loredo,et al.  Inferring the Spatial and Energy Distribution of Gamma-Ray Burst Sources. III. Anisotropic Models , 1997, astro-ph/9701111.

[16]  Astrophysics,et al.  Luminosity Functions from Photometric Redshifts I: Techniques , 1996, astro-ph/9606075.

[17]  J. Choloniewski.  New method for the determination of the luminosity function of galaxies , 1986 .

[18]  Allan Sandage,et al.  The velocity field of bright nearby galaxies. I - The variation of mean absolute magnitude with redshift for galaxies in a magnitude-limited sample , 1979 .

[19]  P. Schechter.  An analytic expression for the luminosity function for galaxies , 1976 .

[20]  D. Lynden-Bell,et al.  A Method of Allowing for Known Observational Selection in Small Samples Applied to 3CR Quasars , 1971 .

[21]  T. Loredo,et al.  Size Distribution of Multikilometer Transneptunian Objects , 2008 .

[22]  T. Loredo,et al.  Inferring the Spatial and Energy Distribution of Gamma-Ray Burst Sources. II. Isotropic Models , 1998 .

[23]  Daniel Fink.  A Compendium of Conjugate Priors , 1997 .

[24]  John Geweke,et al.  Evaluating the accuracy of sampling-based approaches to the calculation of posterior moments , 1991 .

[25]  Allan Sandage,et al.  The Luminosity Function of Galaxies , 1988 .

[26]  L. Pontrjagin.  The Integral Calculus , 1984 .

[27]  Maarten Schmidt,et al.  Space Distribution and Luminosity Functions of Quasi-Stellar Radio Sources , 1968 .

[28]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..