Discrete Stochastic Models

  • Warren J. Ewens
Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 27)


In the last section of the previous chapter some elementary finite Markov chain theory was introduced. In this chapter we apply this theory to various Markov chain models which arise in genetics. We shall find that the complexities of these models are such that not all questions of genetical interest can in practice be answered by using Markov chain theory, and in the next two chapters we shall introduce diffusion theory to arrive at a more complete, although approximate, description of the properties of Markov chain models of interest in genetics.


Stationary Distribution Effective Population Size Markov Chain Model Allelic Type Death Event 
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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Warren J. Ewens
    • 1
  1. 1.Department of BiologyUniversity of PennsylvaniaPhiladelphiaUSA

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