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  • © 2002

Mathematical and Statistical Methods for Genetic Analysis

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Part of the book series: Statistics for Biology and Health (SBH)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xvii
  2. Basic Principles of Population Genetics

    • Kenneth Lange
    Pages 1-20
  3. Counting Methods and the EM Algorithm

    • Kenneth Lange
    Pages 21-38
  4. Newton’s Method and Scoring

    • Kenneth Lange
    Pages 39-58
  5. Hypothesis Testing and Categorical Data

    • Kenneth Lange
    Pages 59-79
  6. Genetic Identity Coefficients

    • Kenneth Lange
    Pages 81-96
  7. Applications of Identity Coefficients

    • Kenneth Lange
    Pages 97-114
  8. Computation of Mendelian Likelihoods

    • Kenneth Lange
    Pages 115-139
  9. The Polygenic Model

    • Kenneth Lange
    Pages 141-168
  10. Descent Graph Methods

    • Kenneth Lange
    Pages 169-201
  11. Molecular Phylogeny

    • Kenneth Lange
    Pages 203-229
  12. Radiation Hybrid Mapping

    • Kenneth Lange
    Pages 231-255
  13. Models of Recombination

    • Kenneth Lange
    Pages 257-280
  14. Sequence Analysis

    • Kenneth Lange
    Pages 281-297
  15. Poisson Approximation

    • Kenneth Lange
    Pages 299-316
  16. Diffusion Processes

    • Kenneth Lange
    Pages 317-339
  17. Back Matter

    Pages 341-369

About this book

During the past decade, geneticists have cloned scores of Mendelian disease genes and constructed a rough draft of the entire human genome. The unprecedented insights into human disease and evolution offered by mapping, cloning, and sequencing will transform medicine and agriculture. This revolution depends vitally on the contributions of applied mathematicians, statisticians, and computer scientists. Mathematical and Statistical Methods for Genetic Analysis is written to equip students in the mathematical sciences to understand and model the epidemiological and experimental data encountered in genetics research. Mathematical, statistical, and computational principles relevant to this task are developed hand in hand with applications to population genetics, gene mapping, risk prediction, testing of epidemiological hypotheses, molecular evolution, and DNA sequence analysis. Many specialized topics are covered that are currently accessible only in journal articles. This second edition expands the original edition by over 100 pages and includes new material on DNA sequence analysis, diffusion processes, binding domain identification, Bayesian estimation of haplotype frequencies, case-control association studies, the gamete competition model, QTL mapping and factor analysis, the Lander-Green-Kruglyak algorithm of pedigree analysis, and codon and rate variation models in molecular phylogeny. Sprinkled throughout the chapters are many new problems.

Reviews

From the reviews of the second edition:

"This book is an excellent resource for statisticians and applied mathematicians seeking an overview of models and formalisms in use in a wide collection of generic analysis processes."  Journal of the American Statistical Association, June 2005

"Genetics is a subject that has always attracted the attention of statisticians back to the time that Mendel did his discoveries. … The current book realizes this and tries to provide a gentle introduction to a wide range of statistical topics in genetics. … I highly recommend this book for Master’s students wishing to see many interesting applications of statistics in genomics. On their way through this book, they will be rewarded with knowledge of a wide range of statistical topics." (Dr A. Di Bucchianico, Kwantitatieve Methoden, Vol. 72B38, 2006)

"More than 100 pages have been added in this Second Edition … . The strength of this book is that it provides the foundations and rigorous details of mathematical and statistical methodologies that are applied in genetics. … A nice feature of this book is that there are about a dozen problems for solution at the end of each chapter, which will be useful for the serious reader." (Partha P. Majumder, Sankhya, Vol. 65 (3), 2003)

"This monograph is the second edition of Lange’s 1997 work, increased by more than 100 pages. … Several chapters of the first edition have been supplemented by new material. … The book is intended for readers with basic knowledge in theoretical statistics, calculus and linear algebra. … Summarizing, this monograph can be recommended to all who want to connect their knowledge of mathematical statistics and genetics and learn about the statistical solutions … for genetical research problems." (C. Becker, Metrika, September, 2003)

"The second edition of this book by Ken Lange continues to present a very broad coverage of mathematical andstatistical methods in the analysis of genetic data. The text has something to offer both mathematicians already experienced in genetics, as well as those with little experience in the area … . The book allows readers to appreciate the enormous contribution that Lange has made to the area and will hopefully inspire them (in Lange’s words) 'to create new models and methods for analyzing genetic data’." (Lyle C. Gurrin and John L. Hopper, Statistics in Medicine, Vol. 23, 2004)

"This is an excellent book written in the same crisp and clear style as the first edition. It has enough in detail of the underpinning genetics to allow the mathematicians and statisticians to gain an understanding sufficient to see the challenge and richness of the area. … It is both a useful reference source and a suitable introduction … . This is a book I am happy to recommend highly, and I look forward to the third edition in a few years time." (C Cannings, Heredity, Issue 92, 2004)

"The revolution in molecular genetics during the past decade has led to an avalanche of new data whose analysis requires increasingly sophisticated mathematical, statistical and computational methods. This book provides an up-to-date introduction to several of the most important mathematical and statistical methods developed for this purpose. … this is a major text that will be most useful for researchers and students of mathematics or statistics interested or engaged in the analysis of genetic data." (R. Bürger, Monatshefte für Mathematik, Vol. 139 (3), 2003)

"Mathematical and Statistical Methods for Genetic Analysis is written to equip students in the mathematical sciences to understand and model the epidemiological and experimental data encountered in genetics research. … Mathematical, statistical, and computational principles relevant to this task are developed … . Many specialized topics are covered that are currently accessible only in journal articles. This secondedition expands the original edition by over 100 pages and includes new material … ." (Zentralblatt für Didaktik, June, 2002)

"The first edition of this book appeared in 1997 … and filled an important gap by covering in a unified setting topics dispersed in the research literature. This second edition is considerably larger, updating the first edition and adding some new topics. There are two new chapters … . Several new sections have also been added to existing chapters … ." (Carlos A. Braumann, Zentralblatt MATH, Vol. 991 (16), 2002)

Authors and Affiliations

  • Departments of Biomathematics and Human Genetics, UCLA School of Medicine, Los Angeles, USA

    Kenneth Lange

Bibliographic Information

  • Book Title: Mathematical and Statistical Methods for Genetic Analysis

  • Authors: Kenneth Lange

  • Series Title: Statistics for Biology and Health

  • DOI: https://doi.org/10.1007/978-0-387-21750-5

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2002

  • Hardcover ISBN: 978-0-387-95389-2Published: 28 March 2002

  • Softcover ISBN: 978-1-4684-9556-0Published: 01 August 2012

  • eBook ISBN: 978-0-387-21750-5Published: 06 December 2012

  • Series ISSN: 1431-8776

  • Series E-ISSN: 2197-5671

  • Edition Number: 2

  • Number of Pages: XVIII, 370

  • Topics: Human Genetics, Statistics for Life Sciences, Medicine, Health Sciences

Buy it now

Buying options

eBook USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access