Tavaré, Simon.
Lectures on Probability Theory and Statistics Ecole d’Eté de Probabilités de Saint-Flour XXXI - 2001 / [electronic resource] : by Simon Tavaré, Ofer Zeitouni ; edited by Jean Picard. - Berlin, Heidelberg : Springer Berlin Heidelberg, 2004. - VIII, 316 p. online resource. - Lecture Notes in Mathematics, Ecole d’Eté de Probabilités de Saint-Flour XXXI - 2001, 1837 1617-9692 ; . - Lecture Notes in Mathematics, Ecole d’Eté de Probabilités de Saint-Flour XXXI - 2001, 1837 .
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.
9783540398745
10.1007/b95197 doi
Mathematics.
Genetics--Mathematics.
Distribution (Probability theory).
Mathematics.
Probability Theory and Stochastic Processes.
Genetics and Population Dynamics.
QA273.A1-274.9 QA274-274.9
519.2
Lectures on Probability Theory and Statistics Ecole d’Eté de Probabilités de Saint-Flour XXXI - 2001 / [electronic resource] : by Simon Tavaré, Ofer Zeitouni ; edited by Jean Picard. - Berlin, Heidelberg : Springer Berlin Heidelberg, 2004. - VIII, 316 p. online resource. - Lecture Notes in Mathematics, Ecole d’Eté de Probabilités de Saint-Flour XXXI - 2001, 1837 1617-9692 ; . - Lecture Notes in Mathematics, Ecole d’Eté de Probabilités de Saint-Flour XXXI - 2001, 1837 .
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.
9783540398745
10.1007/b95197 doi
Mathematics.
Genetics--Mathematics.
Distribution (Probability theory).
Mathematics.
Probability Theory and Stochastic Processes.
Genetics and Population Dynamics.
QA273.A1-274.9 QA274-274.9
519.2