Accession Number : AD0725092

Title :   Upper Functions for Symmetric Processes with Stationary, Independent Increments.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Fristedt,Bert

Report Date : OCT 1970

Pagination or Media Count : 18

Abstract : Let X be a one-dimensional symmetric stochastic process with stationary, independent increments, where, as is usual, one assumes X(0) = 0, X to be right continuous and to have left limits everywhere. Given a rather arbitrary deterministic function h, the object of this paper is to evaluate lim sup as t approaches zero (the absolute value of x(t)/h(t)) and lim sup to approaches infinitely (the absolute value of x(t)/h(t)). (Author)

Descriptors :   (*STOCHASTIC PROCESSES, STATISTICAL FUNCTIONS), RANDOM VARIABLES, SEQUENCES(MATHEMATICS), THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE