标准正态分布 meaning in English

standard normal distribution
standardized normal distribution

Let { xn ; n > 1 } be mutually identically independent random variables distributed according to the normal distribution , { sn , n > 1 } be finite partial sum series , the purpose of this paper is to investigate law of the iterated logarithm type results for special finite partial weight sum series { sn , n > 1 } , we assume that sn = a1sn + a2 ( s2n - sn ) + a3 ( s3n - s2n ) + . . . + ad ( sdn - s ( d - 1 ) n ) in the second chapter , theory 2 by using the method of literature [ 8 ] , we extend hartman - wintner law of iterated logarithm on the gauss distribution . we substitute negative correspond for independent . it extends the corresponding results in gauss distribution
设{ x _ n ； n 1 }是独立同分布的且服从标准正态分布的随机变量序列， { s _ n , n 1 }是其部分和数列，讨论有限项特殊加权部分和{ s _ n ， n 1 }的重对数律，其中定理2利用文献[ 8 ]提供的方法，在高斯分布上改进了hartman - wintner的重对数律，取消独立性用更弱的条件负相关代替，大大拓宽了重对数律在高斯分布中的使用范围。