A central limit theorem for normalized functions of the increments of a diffusion process, in the presence of round-off errors

作者: Sylvain Delattre , Jean Jacod

DOI: 10.2307/3318650

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摘要: Let X be a one-dimensional diffusion process. For each n≥ 1 we have a round-off level α_n>0 and we consider the rounded-off value Xt (α n)= α n Xt/α n. We are interested in the …

参考文章(1)
D. J. Aldous, G. K. Eagleson, On Mixing and Stability of Limit Theorems Annals of Probability. ,vol. 6, pp. 325- 331 ,(1978) , 10.1214/AOP/1176995577