title: Probability, statistics, and computational science.
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.
authors.affiliation: Department of Biosystems Science and Engineering, ETH Zurich, Basel, Switzerland. niko.beerenwinkel@bsse.ethz.ch
authors.forename: Niko
authors.initials: N
authors.lastname: Beerenwinkel
authors.forename: Juliane
authors.initials: J
authors.lastname: Siebourg
mesh_terms: D000465:Algorithms; D001499:Bayes Theorem; D019295:Computational Biology / Q000295:instrumentation*; D008390:Markov Chains; D015233:Models, Statistical; D011336:Probability