Lectures on probability theory and statistics : Ecole d'eté de probabilités de Saint-Flour XXXI - 2001

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Bibliographic Information

Lectures on probability theory and statistics : Ecole d'eté de probabilités de Saint-Flour XXXI - 2001

Simon Tavaré, Ofer Zeitouni ; editor, Jean Picard

（Lecture notes in mathematics, 1837）

Springer, c2004

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Lectures on probability theory and statistics, St. Flour 2001

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Note

"Three series of lectures were given at the 31st Probability Summer School in Saint-Flour (July 8-25, 2001)"--Pref

Includes bibliographical references

Description and Table of Contents

Description

This volume contains lectures given at the 31st Probability Summer School in Saint-Flour (July 8-25, 2001). Simon Tavare'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.

Table of Contents

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

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