Statistical Searches in Astrophysics and Cosmology

We illustrate some statistical challenges in Astrophysics and Cosmology, inparticular noting the application of Bayesian methods and model selectioncriteria. We describe two examples where Bayesian methods have improved ourinference: (i) photometric redshift estimation and (ii) orbital parameters ofextra-solar planets. While sub-communities in Astrophysics, High Energy Physicsand Statistics develop separately their specific techniques, it is beneficial to'compare notes' and to exchange methods.