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Lectures on Probability Theory and Statistics

Ecole d'Eté de Probabilités de Saint-Flour XXXI - 2001

  • Book
  • © 2004

Overview

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1837)

Part of the book sub series: École d'Été de Probabilités de Saint-Flour (LNMECOLE)

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Table of contents (2 chapters)

Keywords

About this book

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.

Bibliographic Information

  • Book Title: Lectures on Probability Theory and Statistics

  • Book Subtitle: Ecole d'Eté de Probabilités de Saint-Flour XXXI - 2001

  • Authors: Simon Tavaré, Ofer Zeitouni

  • Editors: Jean Picard

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/b95197

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag GmbH Germany, part of Springer Nature 2004

  • Softcover ISBN: 978-3-540-20832-7Published: 04 March 2004

  • eBook ISBN: 978-3-540-39874-5Published: 30 January 2004

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 316

  • Topics: Probability Theory and Stochastic Processes, Genetics and Population Dynamics

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