A COMPARISON OF SOME TEST STATISTICS OF THE KOLMOGOROV TYPE.
Abstract
It is natural to associate optimal estimation and optimal statistical testing. In the paper continuous function estimation of the cumulative distribution is used to define two test statistics that compete with the Kolmogorov D sub N statistic. The first statistic, C sub N, is attributed to Pyke and the second, R sub N, is obtained by polygonalizing the sample distribution function. It is known that both are asymptotically equivalent to the Kolmogorov statistic. Using the methods of J. Durbin, the small sample distributions are tabled as well as the critical points for significance levels of .20, .10, .05, .025, and .01. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1969
- Accession Number
- AD0704780
Entities
People
- Jasper Paul Hendren
Organizations
- Naval Postgraduate School