论文标题

根据续订过程构建的过程的强限

Strong limit of processes constructed from a renewal proces

论文作者

Bardina, Xavier, Rovira, Carles

论文摘要

我们从更新过程中构建了一个过程,它们的实现几乎可以肯定地融合到布朗尼运动,并在单位时间间隔内均匀地融合。最后,我们计算特定情况下的收敛速度。

We construct a family of processes, from a renewal process, that have realizations that converge almost surely to the Brownian motion, uniformly on the unit time interval. Finally we compute the rate of convergence in a particular case.

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