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Probability Models For Dna Sequence Evolution


Probability Models For Dna Sequence Evolution
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Probability Models For Dna Sequence Evolution


Probability Models For Dna Sequence Evolution
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Author : Richard Durrett
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-15

Probability Models For Dna Sequence Evolution written by Richard Durrett and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-15 with Mathematics categories.


"What underlying forces are responsible for the observed patterns of variability, given a collection of DNA sequences?" In approaching this question a number of probability models are introduced and anyalyzed.Throughout the book, the theory is developed in close connection with data from more than 60 experimental studies that illustrate the use of these results.



Probability Models For Dna Sequence Evolution


Probability Models For Dna Sequence Evolution
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Author : Rick Durrett
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Probability Models For Dna Sequence Evolution written by Rick Durrett and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.


Our basic question is: Given a collection of DNA sequences, what underlying forces are responsible for the observed patterns of variability? To approach this question we introduce and analyze a number of probability models: the Wright-Fisher model, the coalescent, the infinite alleles model, and the infinite sites model. We study the complications that come from nonconstant population size, recombination, population subdivision, and three forms of natural selection: directional selection, balancing selection, and background selection. These theoretical results set the stage for the investigation of various statistical tests to detect departures from "neutral evolution." The final chapter studies the evolution of whole genomes by chromosomal inversions, reciprocal translocations, and genome duplication. Throughout the book, the theory is developed in close connection with data from more than 60 experimental studies from the biology literature that illustrate the use of these results. This book is written for mathematicians and for biologists alike. We assume no previous knowledge of concepts from biology and only a basic knowledge of probability: a one semester undergraduate course and some familiarity with Markov chains and Poisson processes. Rick Durrett received his Ph.D. in operations research from Stanford University in 1976. He taught in the UCLA mathematics department before coming to Cornell in 1985. He is the author of six books and 125 research papers, and is the academic father of more than 30 Ph.D. students. His current interests are the use of probability models in genetics and ecology, and decreasing the mean and variance of his golf.



Basic Probability Models For Dna Sequence Evolution


Basic Probability Models For Dna Sequence Evolution
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Author : Tania Rosso
language : en
Publisher:
Release Date : 2017

Basic Probability Models For Dna Sequence Evolution written by Tania Rosso and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.




Probability Models For Dna Sequence Evolution


Probability Models For Dna Sequence Evolution
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Author : Rick Durrett
language : en
Publisher:
Release Date : 2014-01-15

Probability Models For Dna Sequence Evolution written by Rick Durrett and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Probability Models For Dna Sequence Evoluation


Probability Models For Dna Sequence Evoluation
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Author : Probability Models For Dna Sequence Evolution
language : en
Publisher:
Release Date : 2004-01-01

Probability Models For Dna Sequence Evoluation written by Probability Models For Dna Sequence Evolution and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with categories.




Bayesian Phylogenetics


Bayesian Phylogenetics
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Author : Ming-Hui Chen
language : en
Publisher: CRC Press
Release Date : 2014-05-27

Bayesian Phylogenetics written by Ming-Hui Chen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-27 with Mathematics categories.


Offering a rich diversity of models, Bayesian phylogenetics allows evolutionary biologists, systematists, ecologists, and epidemiologists to obtain answers to very detailed phylogenetic questions. Suitable for graduate-level researchers in statistics and biology, Bayesian Phylogenetics: Methods, Algorithms, and Applications presents a snapshot of c



Advances In Parasitology


Advances In Parasitology
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Author :
language : en
Publisher: Elsevier
Release Date : 2006-10-06

Advances In Parasitology written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-06 with Medical categories.


First published in 1963, Advances in Parasitology contains comprehensive and up-to-date reviews in all areas of interest in contemporary parasitology. Advances in Parasitology includes medical studies on parasites of major influence, such as Plasmodium falciparum and Trypanosomes. The series also contains reviews of more traditional areas, such as zoology, taxonomy, and life history, which shape current thinking and applications. Eclectic volumes are supplemented by thematic volumes on various topics including "Remote Sensing and Geographical Information Systems in Epidemiology and "The Evolution of Parasitism – a phylogenetic persepective.With an impact factor of 3.9 the series ranks second in the ISI Parasitology subject category.



Limit Theorems For Randomly Stopped Stochastic Processes


Limit Theorems For Randomly Stopped Stochastic Processes
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Author : Dmitrii S. Silvestrov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Limit Theorems For Randomly Stopped Stochastic Processes written by Dmitrii S. Silvestrov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Limit theorems for stochastic processes are an important part of probability theory and mathematical statistics and one model that has attracted the attention of many researchers working in the area is that of limit theorems for randomly stopped stochastic processes. This volume is the first to present a state-of-the-art overview of this field, with many of the results published for the first time. It covers the general conditions as well as the basic applications of the theory, and it covers and demystifies the vast, and technically demanding, Russian literature in detail. A survey of the literature and an extended bibliography of works in the area are also provided. The coverage is thorough, streamlined and arranged according to difficulty for use as an upper-level text if required. It is an essential reference for theoretical and applied researchers in the fields of probability and statistics that will contribute to the continuing extensive studies in the area andremain relevant for years to come.



Introduction To Stochastic Processes With R


Introduction To Stochastic Processes With R
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Author : Robert P. Dobrow
language : en
Publisher: John Wiley & Sons
Release Date : 2016-04-06

Introduction To Stochastic Processes With R written by Robert P. Dobrow and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-06 with Mathematics categories.


An introduction to stochastic processes through the use of R Introduction to Stochastic Processes with R is an accessible and well-balanced presentation of the theory of stochastic processes, with an emphasis on real-world applications of probability theory in the natural and social sciences. The use of simulation, by means of the popular statistical software R, makes theoretical results come alive with practical, hands-on demonstrations. Written by a highly-qualified expert in the field, the author presents numerous examples from a wide array of disciplines, which are used to illustrate concepts and highlight computational and theoretical results. Developing readers’ problem-solving skills and mathematical maturity, Introduction to Stochastic Processes with R features: More than 200 examples and 600 end-of-chapter exercises A tutorial for getting started with R, and appendices that contain review material in probability and matrix algebra Discussions of many timely and stimulating topics including Markov chain Monte Carlo, random walk on graphs, card shuffling, Black–Scholes options pricing, applications in biology and genetics, cryptography, martingales, and stochastic calculus Introductions to mathematics as needed in order to suit readers at many mathematical levels A companion web site that includes relevant data files as well as all R code and scripts used throughout the book Introduction to Stochastic Processes with R is an ideal textbook for an introductory course in stochastic processes. The book is aimed at undergraduate and beginning graduate-level students in the science, technology, engineering, and mathematics disciplines. The book is also an excellent reference for applied mathematicians and statisticians who are interested in a review of the topic.



The Poisson Dirichlet Distribution And Related Topics


The Poisson Dirichlet Distribution And Related Topics
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Author : Shui Feng
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-05-27

The Poisson Dirichlet Distribution And Related Topics written by Shui Feng and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-27 with Mathematics categories.


Presenting a comprehensive study of the Poisson-Dirichlet distribution, this volume emphasizes recent progress in evolutionary dynamics and asymptotic behaviors. The self-contained text presents methods and techniques that appeal to researchers in a wide variety of subjects.