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Sixth International Conference on Computational Intelligence and Multimedia Applications (ICCIMA'05)
On the Approximation of Markov Chains to Determine the Probability of Extinction of a Genotype
Las Vegas, Nevada
August 16-August 18
ISBN: 0-7695-2358-7
Gabriel V. Orman, "Transilvania" University of Brasov
As it is known a precise definition of the Brownian motion involves a measure on the path space, such that it is possible to put the Brownian motion on a firm mathematical foundation. In this paper we refer to an appplication of asymptotic theory of stochastic differential equations in mathematical genetics. The construction of the Brownian motion as a limit of a rescaled random walk can be generalized to a class of Markov chains.
Index Terms:
Brownian motion, stochastic differential equations, Markov chain, transition probability, binomial distribution
Citation:
Gabriel V. Orman, "On the Approximation of Markov Chains to Determine the Probability of Extinction of a Genotype," iccima, pp.68-73, Sixth International Conference on Computational Intelligence and Multimedia Applications (ICCIMA'05), 2005
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