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A brief review of basic probability theory

By Winfried Just

Department of Mathematics, Ohio University

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Abstract

The spread of infectious diseases is inherently a stochastic process and the materials posted at this web site heavily rely on probability theory. Here we review some basic concepts of probability theory for easy reference. The material is restricted to notions that are used in teaching materials posted here or in our forthcoming book chapters [1, 2].  While this posting cannot replace a regular textbook on probability, it can serve as a short refresher course.

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[1] Winfried Just, Hannah Callender, and M Drew LaMar. Disease transmission dynamics on networks: Network structure vs. disease dynamics. In Raina Robeva, editor, Algebraic and Discrete Mathematical Methods for Modern Biology. Academic Press, 2015.
[2] Winfried Just, Hannah Callender, M Drew LaMar, and Natalia Toporikova. Transmission of infectious diseases: Data, models, and simulations. In Raina Robeva, editor, Algebraic and Discrete Mathematical Methods for Modern Biology. Academic Press, 2015.

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Researchers should cite this work as follows:

  • Winfried Just (2015), "A brief review of basic probability theory," https://qubeshub.org/resources/366.

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