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Titlebook: Mathematical and Statistical Methods for Genetic Analysis; Kenneth Lange Textbook 2002Latest edition Springer Science+Business Media New Y

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发表于 2025-3-21 18:59:15 | 显示全部楼层 |阅读模式
书目名称Mathematical and Statistical Methods for Genetic Analysis
编辑Kenneth Lange
视频video
丛书名称Statistics for Biology and Health
图书封面Titlebook: Mathematical and Statistical Methods for Genetic Analysis;  Kenneth Lange Textbook 2002Latest edition Springer Science+Business Media New Y
描述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, cas
出版日期Textbook 2002Latest edition
关键词DNA; Factor analysis; Haplotype; evolution; expectation–maximization algorithm; genes; genetics; molecular
版次2
doihttps://doi.org/10.1007/978-0-387-21750-5
isbn_softcover978-1-4684-9556-0
isbn_ebook978-0-387-21750-5Series ISSN 1431-8776 Series E-ISSN 2197-5671
issn_series 1431-8776
copyrightSpringer Science+Business Media New York 2002
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Diffusion Processes, a deterministic framework, these models also raise the mathematical bar. The current chapter surveys the theory at an elementary level, stressing intuition rather than rigor. Readers with the time and mathematical background should follow up this brief account by delving into serious presentations of the mathematics [1, 2, 7, 8].
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Computation of Mendelian Likelihoods,of the story. Evaluation of pedigree likelihoods remains a subject sorely in need of further theoretical improvement. Linkage calculations alone are among the most demanding computational tasks in modern biology.
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Counting Methods and the EM Algorithm,ted by Dempster et al. [5, 12]. Our initial example retraces some of the steps in the long march from concrete problems to an abstract algorithm applicable to an astonishing variety of statistical models.
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,Newton’s Method and Scoring, have much to offer in small to moderate-sized problems. For those uncomfortable with pulling prior distributions out of thin air, . procedures can be an appealing compromise between classical and Bayesian methods. This chapter illustrates some of these well-known themes in the context of allele frequency estimation and linkage analysis.
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