Lectures on Probability Theory and Statistics Ecole d'Eté de Probabilités de Saint-Flour XXXI - 2001 /

• Main Authors: Tavaré, Simon (Author, http://id.loc.gov/vocabulary/relators/aut), Zeitouni, Ofer (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Picard, Jean (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Edition: 1st ed. 2004.
• Series: Lecture Notes in Mathematics, 1837
• Subjects: Probabilities.; Biomathematics.; Probability Theory and Stochastic Processes.; Genetics and Population Dynamics.
• Physical Description: VIII, 316 p. online resource.
• ISBN: 9783540398745
• ISSN: 0075-8434 ;
• DOI: 10.1007/b95197

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.