Lectures on Probability Theory and Statistics: Ecole d'Eté de Probabilités de Saint-Flour XXXI - 2001 (Lecture Notes in Mathematics, 1837)

This Volume Contains Lectures Given At The 31st Probability Summer School In Saint-flour (july 8-25, 2001). Simon Tavaré’s Lectures Serve As An Introduction To The Coalescent, And To Inference For Ancestral Processes In Population Genetics. The Stochastic Computation Methods Described Include Rejection Methods, Importance Sampling, Markov Chain Monte Carlo, And Approximate Bayesian Methods. Ofer Zeitouni’s Course On Random Walks In Random Environment Presents Systematically The Tools That Have Been Introduced To Study The Model. A Fairly Complete Description Of Available Results In Dimension 1 Is Given. For Higher Dimension, The Basic Techniques And A Discussion Of Some Of The Available Results Are Provided. The Contribution Also Includes An Updated Annotated Bibliography And Suggestions For Further Reading. Olivier Catoni's Course Appears Separately. By Simon Tavaré, Ofer Zeitouni ; Edited By Jean Picard. Part I: Ancestral Inference in Population Genetics....Pages 1-188 Part II: Random Walks in Random Environment....Pages 189-312 pt. 1. Ancestral inference in population genetics / Simon Tavaré pt. 2. Random walks in random environment / Ofer Zeitouni. One of the most important challenges facing modern biology is how to make sense of genetic variation.