Title :
On stochastic approximation methods in genetics
Author :
Orman, Gabriel V.
Author_Institution :
Dept. of Math., Brasov Univ.
Abstract :
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 application 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
Keywords :
Brownian motion; Markov processes; binomial distribution; differential equations; genetics; Brownian motion; Markov chain; asymptotic theory; binomial distribution; mathematical genetics; stochastic approximation methods; stochastic differential equation; transition probability; Approximation methods; Atomic measurements; Differential equations; Genetics; Integral equations; Motion measurement; Probability distribution; Stochastic processes; Stochastic resonance; Working environment noise;
Conference_Titel :
Information Technology Interfaces, 2004. 26th International Conference on
Conference_Location :
Cavtat
Print_ISBN :
953-96769-9-1