Wiener过程下等间距分段加权和的Chung氏重对数律

The law of iterated logarithm of Chung about weighted sum

重对数律是强大数定律的精确化,体现概率统计理论研究中速度问题的重大进展,具有广泛的应用.本文进一步推广著名的Chung氏重对数律到等间距分段加权和的情形之下,得到了关于标准Wiener过程的等间距分段加权和的Chung氏重对数律.

The law of iterated logarithm is an important result in probability theory and has extensive applications. We extend the law of iterated logarithm of Chung to the condition of weighted sum that averages interval segments about normal Wiener process and obtain the theorem of the law of iterated logarithm of Chung under the condition of weighted sum that averages interval segments about normal Wiener process.