2014/07/04 by F. Lacasa, Lacasa, Fabien
Computer Science · Mathematics · #Advanced Statistical Methods and Models #Bayesian Methods and Mixture Models #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #Statistical Methods and Bayesian Inference
paper · pdf · doi:10.48550/arxiv.1407.1247
openalex publication_date 2014/07/04 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28
Present and future large scale surveys offer promising probes of cosmology.\nFor example the Dark Energy Survey (DES) is forecast to detect ~300 millions\ngalaxies and thousands clusters up to redshift ~1.3. I here show ongoing work\nto combine two probes of large scale structure : cluster number counts and\ngalaxy 2-point function (in real or harmonic space). The halo model (coupled to\na Halo Occupation Distribution) can be used to model the cross-covariance\nbetween these probes, and I introduce a diagrammatic method to compute easily\nthe different terms involved. Furthermore, I compute the joint non-Gaussian\nlikelihood, using the Gram-Charlier series. Then I show how to extend the\nmethods of Bayesian hyperparameters to Poissonian distributions, in a first\nstep to include them in this joint likelihood.\n