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 ...

The Annals of Statistics publishes research papers of the highest quality reflecting the many facets of contemporary statistics. Primary emphasis is placed on importance and originality, not on ...

The empirical distribution function of a sample, F n (y), is the proportion of observations less than or equal to y. where n is the number of observations, and is an indicator function with value 1 if ...

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 ...