Lectures on Probability Theory and Statistics

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

  • Authors
  • Simon Tavaré
  • Ofer Zeitouni
  • Editors
  • Jean Picard

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

Table of contents

  1. Front Matter
    Pages I-VII
  2. Ofer Zeitouni
    Pages 190-312
  3. Back Matter
    Pages 313-315

About this book

Introduction

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.

Keywords

Markov chain Population Genetics Probability theory genetics random walk statistics

Bibliographic information

  • DOI https://doi.org/10.1007/b95197
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-20832-7
  • Online ISBN 978-3-540-39874-5
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book