Probability And Mathematical Genetics
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Probability And Mathematical Genetics
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Author : N. H. Bingham
language : en
Publisher: Cambridge University Press
Release Date : 2010-07-15
Probability And Mathematical Genetics written by N. H. Bingham and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-15 with Mathematics categories.
No leading university department of mathematics or statistics, or library, can afford to be without this unique text. Leading authorities give a unique insight into a wide range of currently topical problems, from the mathematics of road networks to the genomics of cancer.
Probability And Mathematical Genetics
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Author : N. H. Bingham
language : en
Publisher:
Release Date : 2014-05-14
Probability And Mathematical Genetics written by N. H. Bingham and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Genetics categories.
Leading authorities cover a wide range of currently topical problems in probability and mathematical genetics.
Mathematical Structures In Population Genetics
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Author : I︠U︡riĭ Ilʹich Li︠u︡bich
language : en
Publisher: Springer
Release Date : 1992-03-16
Mathematical Structures In Population Genetics written by I︠U︡riĭ Ilʹich Li︠u︡bich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-03-16 with Mathematics categories.
Very Good,No Highlights or Markup,all pages are intact.
Information Geometry And Population Genetics
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Author : Julian Hofrichter
language : en
Publisher: Springer
Release Date : 2017-02-23
Information Geometry And Population Genetics written by Julian Hofrichter and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-23 with Mathematics categories.
The present monograph develops a versatile and profound mathematical perspective of the Wright--Fisher model of population genetics. This well-known and intensively studied model carries a rich and beautiful mathematical structure, which is uncovered here in a systematic manner. In addition to approaches by means of analysis, combinatorics and PDE, a geometric perspective is brought in through Amari's and Chentsov's information geometry. This concept allows us to calculate many quantities of interest systematically; likewise, the employed global perspective elucidates the stratification of the model in an unprecedented manner. Furthermore, the links to statistical mechanics and large deviation theory are explored and developed into powerful tools. Altogether, the manuscript provides a solid and broad working basis for graduate students and researchers interested in this field.
Foundations Of Mathematical Genetics
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Author : Anthony William Fairbank Edwards
language : en
Publisher: Cambridge University Press
Release Date : 2000-01-13
Foundations Of Mathematical Genetics written by Anthony William Fairbank Edwards and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-13 with Science categories.
In this 2000 second edition of the classic work Foundations of Mathematical Genetics a definitive account is given of the basic models of population genetics, together with the historical origins of developments since 1908. Existing texts in mathematical population genetics have revealed the need for a careful study of the foundations of the field which have tended to be neglected in the past. This book satisfies that need, treating the simple deterministic models for random-mating diploid populations in depth, though without sacrificing clarity of expression. In the new edition, coverage has been extended with the provision of an extra chapter on the Fundamental Theorem of Natural Selection. This book is written for those interested in the mathematical aspects of genetics, ecology and biology. Both students of mathematical genetics and historians of the subject will find it a definitive statement of the origins of modern mathematical population genetics.
Theoretical Population Genetics
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Author : J.S. Gale
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Theoretical Population Genetics written by J.S. Gale 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 Science categories.
The rise of the neutral theory of molecular evolution seems to have aroused a renewed interest in mathematical population genetics among biologists, who are primarily experimenters rather than theoreticians. This has encouraged me to set out the mathematics of the evolutionary process in a manner that, I hope, will be comprehensible to those with only a basic knowledge of calculus and matrix algebra. I must acknowledge from the start my great debt to my students. Equipped initially with rather limited mathematics, they have pursued the subject with much enthusiasm and success. This has enabled me to try a number of different approaches over the years. I was particularly grateful to Dr L. J. Eaves and Professor W. E. Nance for the opportunity to give a one-semester course at the Medical College of Virginia, and I would like to thank them, their colleagues and their students for the many kindnesses shown to me during my visit. I have concentrated almost entirely on stochastic topics, since these cause the greatest problems for non-mathematicians. The latter are particularly concerned with the range of validity of formulae. A sense of confidence in applying these formulae is, almost certainly, best gained by following their derivation. I have set out proofs in fair detail, since, in my experience, minor points of algebraic manipulation occasionally cause problems. To avoid loss of continuity, I have sometimes put material in notes at the end of chapters.
Statistical Inference From Genetic Data On Pedigrees
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Author : Elizabeth Alison Thompson
language : en
Publisher: IMS
Release Date : 2000
Statistical Inference From Genetic Data On Pedigrees written by Elizabeth Alison Thompson and has been published by IMS this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Reference categories.
Annotation While this monograph is not about show dogs or cats, its statistical methods could be applied to tracing the pedigree of these species as well as humans. Thompson (U. of Washington) covers such topics as genetic models, population allele frequencies, kinship/inbreeding coefficients, and Monte Carlo estimation. Includes supporting tables and figures. Suitable as a supplementary text or primary text for advanced students. Lacks an index. c. Book News Inc.
Probability Models And Statistical Methods In Genetics
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Author : Regina C. Elandt-Johnson
language : en
Publisher:
Release Date : 1971
Probability Models And Statistical Methods In Genetics written by Regina C. Elandt-Johnson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Probabilities categories.
Basic terms and definitions in genetics. Probability models general concepts and definitions. Genotypes and phenotypes in experimental populations. Equilibrium laws in panmictic populations. Random variables and their distributions. Moments of random variables. Genotype distributions for relatives in Randomly mating populations. Some standard distributions and their properties. Inbreeding and nonrandom mating. Natural selection and mutation. Estimation of genetic parameters general theory. Estimation of parameters associated with multinominal distributions. Testing genetic hypotheses. Human blood groups. Autosomal linkage in experimental populations. Statistically equivalent models of Inheritance. Segregation rations in families. Simple modes of inheritance. Complex segregation analysis. Histocompatibility testing.
Stochastic Processes In Genetics And Evolution
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Author : Charles J. Mode
language : en
Publisher: World Scientific
Release Date : 2012
Stochastic Processes In Genetics And Evolution written by Charles J. Mode and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
Prologue; Acknowledgments; Contents; 1. An Introduction to Mathematical Probability with Applications in Mendelian Genetics; 1.1 Introduction; 1.2 Mathematical Probability in Mendelian Genetics; 1.3 Examples of Finite Probability Spaces; Example 1.3.1: An Equal Frequency Model; Example 1.3.2: Partitions of an Abstract Set; Example 1.3.3: A Deterministic Case; Example 1.3.4: Inheritance of Eye Color and Sex; 1.4 Elementary Combinatorial Analysis; 1.5 The Binomial Distribution; Example 1.5.1: Distribution of Boys and Girls in Families of Size N.
Random Discrete Structures
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Author : David Aldous
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Random Discrete Structures written by David Aldous 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.
The articles in this volume present the state of the art in a variety of areas of discrete probability, including random walks on finite and infinite graphs, random trees, renewal sequences, Stein's method for normal approximation and Kohonen-type self-organizing maps. This volume also focuses on discrete probability and its connections with the theory of algorithms. Classical topics in discrete mathematics are represented as are expositions that condense and make readable some recent work on Markov chains, potential theory and the second moment method. This volume is suitable for mathematicians and students.