Lectures on Probability Theory and Statistics - Simon Tavaré, Ofer Zeitouni

Lectures on Probability Theory and Statistics

Ecole d'Eté de Probabilités de Saint-Flour XXXI - 2001

, (Autoren)

Jean Picard (Herausgeber)

Buch | Softcover
VIII, 316 Seiten
2004 | 2004
Springer Berlin (Verlag)
978-3-540-20832-7 (ISBN)
64,19 inkl. MwSt

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.

Simon Tavare holds the George and Louise Kawamoto Chair in Biological Sciences and is a Professor of Biological Sciences, Mathematics, and Preventive Medicine at the University of Southern California. Professor Tavare's research lies at the interface between statistics and biology, specifically focusing on problems arising in molecular biology, human genetics, population genetics, molecular evolution, and bioinformatics. His statistical interests focus on stochastic computation. Among the applications are linkage disequilibrium mapping, stem cell evolution, and inference in the fossil record. Dr. Tavare is also a professor in the Department of Oncology at the University of Cambridge, England, where his group concentrates on cancer genomics.

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

Erscheint lt. Verlag 4.3.2004
Reihe/Serie École d'Été de Probabilités de Saint-Flour
Lecture Notes in Mathematics
Zusatzinfo VIII, 316 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 480 g
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Statistik
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Naturwissenschaften Biologie Evolution
Schlagworte 60-01, 60-06, 62-01, 62-06, 92D10, 60K37, 60F05, 60F10 • Genetics • Markov Chain • Population Genetics • Probability Theory • Random Walk • Statistics • Statistik • Wahrscheinlichkeitstheorie
ISBN-10 3-540-20832-1 / 3540208321
ISBN-13 978-3-540-20832-7 / 9783540208327
Zustand Neuware
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