Lectures on Probability Theory and Statistics [electronic resource] : Ecole d’Eté de Probabilités de Saint-Flour XXXI - 2001 / by Simon Tavaré, Ofer Zeitouni ; edited by Jean Picard.

By: Tavaré, Simon [author.]Contributor(s): Zeitouni, Ofer [author.] | Picard, Jean [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics, Ecole d’Eté de Probabilités de Saint-Flour XXXI - 2001 ; 1837Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2004Description: VIII, 316 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540398745Subject(s): Mathematics | Genetics -- Mathematics | Distribution (Probability theory) | Mathematics | Probability Theory and Stochastic Processes | Genetics and Population DynamicsAdditional physical formats: Printed edition:: No titleDDC classification: 519.2 LOC classification: QA273.A1-274.9QA274-274.9Online resources: Click here to access online In: Springer eBooksSummary: 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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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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