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Article Contents

ABSTRACT

1.INTRODUCTION

2.BAYESIAN PROBABILITY THEORY

3.BAYESIAN PARAMETER INFERENCE
3.1.The general problem and its solution
3.2.Markov Chain Monte Carlo techniques for parameter inference

4.BAYESIAN MODEL COMPARISON
4.1.Shaving theories with Occam's razor
4.2.The Bayesian evidence
4.3.Computation and interpretation of the evidence

5.COSMOLOGICAL PARAMETER INFERENCE
5.1.The "vanilla" LambdaCDM cosmological model
5.2.Cosmological observations
5.3.Constraining cosmological parameters
5.4.Caveats and common pitfalls

6.COSMOLOGICAL BAYESIAN MODEL BUILDING
6.1.Evidence for the cosmological concordance model
6.2.Other uses of the Bayesian evidence

7.CONCLUSIONS

REFERENCES