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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
| ASCII Text | x | ||
| Gabriel V. Orman, "On the Approximation of Markov Chains to Determine the Probability of Extinction of a Genotype," Computational Intelligence and Multimedia Applications, International Conference on, pp. 68-73, Sixth International Conference on Computational Intelligence and Multimedia Applications (ICCIMA'05), 2005. | |||
| BibTex | x | ||
| @article{ 10.1109/ICCIMA.2005.41, author = {Gabriel V. Orman}, title = {On the Approximation of Markov Chains to Determine the Probability of Extinction of a Genotype}, journal ={Computational Intelligence and Multimedia Applications, International Conference on}, volume = {0}, year = {2005}, isbn = {0-7695-2358-7}, pages = {68-73}, doi = {http://doi.ieeecomputersociety.org/10.1109/ICCIMA.2005.41}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - CONF JO - Computational Intelligence and Multimedia Applications, International Conference on TI - On the Approximation of Markov Chains to Determine the Probability of Extinction of a Genotype SN - 0-7695-2358-7 SP68 EP73 A1 - Gabriel V. Orman, PY - 2005 KW - Brownian motion KW - stochastic differential equations KW - Markov chain KW - transition probability KW - binomial distribution VL - 0 JA - Computational Intelligence and Multimedia Applications, International Conference on ER - | |||
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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