Lectures on probability theory and statistics
Subtitle: Ecole d'été de probabilités de Saint-Flour XXXI, 2001
By: editor, Jean Picard.
Contributors: Tavaré, Simon.; Zeitouni, Ofer.; Picard, Jean, 1959-
Series: Lecture notes in mathematics -- v. 1837
Publisher: Springer
Published: 2004
Place of publication: Berlin; New York
Language: eng
Number of pages: 314
ISBN-13: 9783540208327
Subjects: Population genetics -- Statistical methods -- Congresses.; Random walks -- Statistical methods -- Congresses.
Genres: Congresses.
Other titles: Ecole d'été de probabilités de Saint-Flour XXXI; Ecole d'été de probabilités de Saint-Flour 31; Lectures on probability theory and statistics, St. Flour 2001
Description: 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.
Notes: "Three series of lectures were given at the 31st Probability Summer School in Saint-Flour (July 8-25, 2001), by the professors Catoni, Tavaré and Zeitouni"--Pref.

Includes bibliographical references.

Full text also available via Internet.
Table of contents: title: pt. 1. Ancestral inference in population genetics / Simon Tavaré; title: pt. 2. Random walks in random environment / Ofer Zeitouni.