Accession Number : ADA018893

Title :   The Analysis of Cyclic Point Processes with Walsh Functions.

Descriptive Note : Final rept.,

Corporate Author : SIAM INST FOR MATHEMATICS AND SOCIETY PHILADELPHIA PA

Personal Author(s) : Liggett,Walter S. , Jr

Report Date : SEP 1975

Pagination or Media Count : 47

Abstract : Transformation by Walsh functions is a technique useful for uncovering the interactions among the daily, weekly, and seasonal cycles often present in societal data. The structural and sampling properties needed for interpretation are simple, the former because Walsh functions are easy to visualize, the latter because the normal approximation applies whenever the total number of events is large. This paper demonstrates these properties, extends this technique to multivariate point processes, and discusses display of the counting function, a technique which complements the Walsh transform. These techniques are illustrated by applying them to a series of robberies. (Author)

Descriptors :   *Walsh functions, *Cyclic tests, Sampling, Seasonal variations, Multivariate analysis, Poisson equation, Criminology

Subject Categories : Sociology and Law
      Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE