Lectures on Probability Theory and Statistics: Ecole d'Ete de Probabilites de Saint-Flour XXXI - 2001

Simon Tavare,Ofer Zeitouni

Lectures on Probability Theory and Statistics: Ecole d'Ete de Probabilites de Saint-Flour XXXI - 2001
Format
Paperback
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Country
Germany
Published
4 March 2004
Pages
316
ISBN
9783540208327

Lectures on Probability Theory and Statistics: Ecole d'Ete de Probabilites de Saint-Flour XXXI - 2001

Simon Tavare,Ofer Zeitouni

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This volume contains lectures given at the 31st Probability Summer School in Saint-Flour (July 8-25, 2001). Simon Tavares 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 Zeitounis 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.

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