Tavaré / Picard / Zeitouni Lectures on Probability Theory and Statistics

Ecole d'Eté de Probabilités de Saint-Flour XXXI - 2001
2004
ISBN: 978-3-540-39874-5
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 1837, 316 Seiten, eBook

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Tavaré, Simon

Zeitouni, Ofer

Picard, Jean

Inhaltsverzeichnis

Part I: S. Tavaré: Ancestral Inference in Population Genetics.- Part II: O. Zeitouni: Random Walks in Random Environment.