Accession Number : ADA189069

Title :   Tests for Uniformity Arising from a Series of Events.

Descriptive Note : Technical rept,

Corporate Author : STANFORD UNIV CA DEPT OF STATISTICS

Personal Author(s) : Stephens, Michael A

PDF Url : ADA189069

Report Date : 28 Jan 1988

Pagination or Media Count : 23

Abstract : Test procedures are reviewed for testing whether events in time are occurring randomly. When this is so, a well-known transformation takes the times of occurrence to uniform order statistics, and the problem reduces to finding tests for uniformity which are sensitive to those alternative patterns of events which might be met in practice. Some alternatives are described and use is discussed of Neyman's test procedure, EDF tests, and spacings. Some recent work on spacings is examined in this context, and throughout the paper suggestions are made for future work. Keywords: Exponential distribution; Renewal processes; Gamma distribution; Weibull distribution; Uniform distribution; Tests for exponentiality; EDF tests; Neyman's tests; Spacings.

Descriptors :   *WEIBULL DENSITY FUNCTIONS, *POISSON DENSITY FUNCTIONS, DISTRIBUTION FUNCTIONS, EXPONENTIAL FUNCTIONS, ORDER STATISTICS, PATTERNS, STATISTICAL DISTRIBUTIONS, TEST METHODS, SPECIAL FUNCTIONS(MATHEMATICAL), TRANSFORMATIONS(MATHEMATICS)

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE