1981•Defense Technical Information Center (DTIC)Requires access
On Tests for Uniformity: Neyman's Statistic and Statistics Based on Gaps and Stretches.
Solomon,Herbert, Stephens,Michael A
Open publisher page 1 citations
Abstract
Distributions of two statistics arising in sampling from a uniform distribution are investigated. They are Neyman's smooth goodness-of-fit statistic of order two and the maximum of a gap or stretch between p points in a sample of size n, p less than or equal to n. Pearson curve fits are applied to each situation thereby extending percentile tables provided by F.N. David (1939) for Neyman's statistic of order two, and indicating usage in computing percentiles for the stretch statistic. The Pearson curve values are excellent approximations along the range of values of each statistic. (Author)