Wiener过程下等间距分段加权和的levy连续模定理

The Levy's Modulus of Continuity under the Context of Wiener Process of Equidistance

连续模定理是讨论wiener过程的增量有多大,由它可推出关于wiener过程的强大数律与重对数律,而Levy连续模定理是wiener过程的一个重要结论,文章进一步推广著名的levy连续模定理。

The modulus of continuity of the wiener process is an important result on probability theory and has extensive application. We extend the modulus of continuity to the condition of weighted sum that avera- ges interval segments about normal wiener process and obtain theorem of the modulus of continuity of levy under the condition weighted sum that averages interval segments about normal wiener process.