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Probability, Statistics, and Computational Science


Beerenwinkel, Niko; Siebourg, Juliane (2012). Probability, Statistics, and Computational Science. Methods in Molecular Biology, 855:77-110.

Abstract

In this chapter, we review basic concepts from probability theory and computational statistics that are fundamental to evolutionary genomics. We provide a very basic introduction to statistical modeling and discuss general principles, including maximum likelihood and Bayesian inference. Markov chains, hidden Markov models, and Bayesian network models are introduced in more detail as they occur frequently and in many variations in genomics applications. In particular, we discuss efficient inference algorithms and methods for learning these models from partially observed data. Several simple examples are given throughout the text, some of which point to models that are discussed in more detail in subsequent chapters.

Abstract

In this chapter, we review basic concepts from probability theory and computational statistics that are fundamental to evolutionary genomics. We provide a very basic introduction to statistical modeling and discuss general principles, including maximum likelihood and Bayesian inference. Markov chains, hidden Markov models, and Bayesian network models are introduced in more detail as they occur frequently and in many variations in genomics applications. In particular, we discuss efficient inference algorithms and methods for learning these models from partially observed data. Several simple examples are given throughout the text, some of which point to models that are discussed in more detail in subsequent chapters.

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2 citations in Web of Science®
1 citation in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, further contribution
Communities & Collections:Special Collections > SystemsX.ch
Special Collections > SystemsX.ch > Research, Technology and Development Projects > InfectX
Dewey Decimal Classification:570 Life sciences; biology
Language:English
Date:2012
Deposited On:16 Sep 2013 08:14
Last Modified:07 Dec 2017 22:30
Publisher:Humana Press (Springer)
ISSN:1064-3745
Publisher DOI:https://doi.org/10.1007/978-1-61779-582-4_3

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