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Data analysis : a Bayesian tutorial

TLDR
This tutorial jumps right in to the power ofparameter estimation without dragging you through the basic concepts of parameter estimation.
Abstract
1. The Basics 2. Parameter Estimation I 3. Parameter Estimation II 4. Model Selection 5. Assigning Probabilities 6. Non-parametric Estimation 7. Experimental Design 8. Least-Squares Extensions 9. Nested Sampling 10. Quantification Appendices Bibliography

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Journal ArticleDOI

Cosmological parameters from CMB and other data: A Monte Carlo approach

Antony Lewis, +1 more
- 25 Nov 2002 - 
TL;DR: In this paper, a fast Markov chain Monte Carlo exploration of cosmological parameter space is presented, which combines data from the CMB, HST Key Project, 2dF galaxy redshift survey, supernovae type Ia and big-bang nucleosynthesis.
Journal ArticleDOI

Multimodal nested sampling: an efficient and robust alternative to Markov Chain Monte Carlo methods for astronomical data analyses

TL;DR: In this article, the authors build on the work of Shaw et al. and present three new methods for sampling and evidence evaluation from distributions that may contain multiple modes and significant degeneracies in very high dimensions.
Journal ArticleDOI

Multimodal nested sampling: an efficient and robust alternative to MCMC methods for astronomical data analysis

TL;DR: Three new methods for sampling and evidence evaluation from distributions that may contain multiple modes and significant degeneracies in very high dimensions are presented, leading to a further substantial improvement in sampling efficiency and robustness and an even more efficient technique for estimating the uncertainty on the evaluated evidence.
Journal ArticleDOI

Cosmology and Fundamental Physics with the Euclid Satellite

Luca Amendola, +81 more
TL;DR: Euclid is a European Space Agency medium-class mission selected for launch in 2020 within the cosmic vision 2015-2025 program as discussed by the authors, which will explore the expansion history of the universe and the evolution of cosmic structures by measuring shapes and red-shift of galaxies as well as the distribution of clusters of galaxies over a large fraction of the sky.