The Limit Distribution of a Random Variable Used in the Construction of Confidence Bands
用于构造置信带的随机变量的极限分布
The limiting distribution of the random variable, √n times the maximum absolute difference between Φ(x;x,s) and Φ(x;0, 1) is obtained, where Φ(x;μ,σ) denotes the normal cumulative distribution with mean μ and variance σ2 and x and s2 are, respectively, the mean and variance of a random sample of size n from Φ(x;0, 1).