Lectures on Probability Theory and Statistics

Ecole d'Ete de Probabilities de Saint-Flour XXXI - 2001
2004. 2004
ISBN: 978-3-540-20832-7
Verlag: Springer-Verlag GmbH

Buch, Englisch, Band 1837, 316 Seiten, Book, Format (B × H): 159 mm x 236 mm, Gewicht: 1020 g

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.

Tavare, Simon

Tavaré, Simon

Zeitouni, Ofer

Picard, Jean

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik

Inhaltsverzeichnis

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