Accession Number : AD0704780

Title :   A COMPARISON OF SOME TEST STATISTICS OF THE KOLMOGOROV TYPE.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : Hendren,Jasper Paul

Report Date : OCT 1969

Pagination or Media Count : 30

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)

Descriptors :   (*STATISTICAL TESTS, STATISTICAL DISTRIBUTIONS), SAMPLING, COMPUTER PROGRAMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE