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The application of stochastic differential equations

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Abstract

In multi-allelic model X=(x_1 ,x_2 ,cdots ,x_d ),[M_f(t)=f(p(t))-int_0^t Lf(p(t))ds]is a P-martingale for diffusion operator L under the certainconditions. In this note, we examine the stochastic differentialequation for model X and find the properties using stochasticdifferential equation.

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