Let {Xn,n≥ 1} be a sequence of i.i.d. random variables having a smooth distribution function F. The perturbed empirical distribution function $\hat{F}_{n}$ is obtained by a convolution of the ...
SAS/INSIGHT software provides tests for the null hypothesis that the input data values are a random sample from a normal distribution. These test statistics include the Shapiro-Wilk statistic (W) and ...
This article derives simultaneous 100(1 - α)% confidence intervals for the quantiles of a normal distribution using a method first proposed by Cheng and Iles and independently rediscovered by Satten.