Accession Number : AD0422674

Title :   BOUNDED PROBABILITY PROPERTIES OF KOLMOGOROVSMIRNOV AND SIMILAR STATISTICS FOR DISCRETE DATA,

Corporate Author : SYSTEM DEVELOPMENT CORP SANTA MONICA CALIF

Personal Author(s) : Walsh,John E.

Report Date : 24 SEP 1963

Pagination or Media Count : 10

Abstract : A somewhat general class of situations, that include Kolmogorov-Smirnov type results as special cases, is considered. These situations are required to have uniquely determined probability properties when the sample values used are from continuous populations of any nature. If the populations sampled are discrete, however, these probability values are not uniquely determined. It is shown that the values for the continuous case represent bounds for the values that occur in any discrete case. The method used to show that these bound relations hold consists in noting that any discrete date situation can be interpreted as a situation involving the grouping of continuous data. Then bound relationships are established between the values of probabilities for the grouped data situations and the corresponding ungrouped data situations, which are the situations considered for the case of continuous data. (Author)

Descriptors :   (*STATISTICAL ANALYSIS, STATISTICAL TESTS), SAMPLING, PROBABILITY, STATISTICAL DATA, STATISTICAL FUNCTIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE