ENGLISH

Lectures on Probability Theory and Statistics: Ecole d’Eté de Probabilités de Saint-Flour XXXI - 2001

By Simon Tavaré , Ofer Zeitouni (auth.) , Jean Picard (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2004
ISBN
9783540208327, 3-540-20832-1
DOI
10.1007/b95197
Open Library ID
OL21577367M
Language
english
Format
PDF
Filesize
2 MB (2226993 bytes)
Series
Lecture Notes in Mathematics 1837
Edition
1
Pages
316\322
Library
Springer
Time added
2009-08-06 07:02:15
Probability Theory and Stochastic Processes; Genet

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.

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