Accession Number : ADA186432

Title :   Local Properties of Index-Alpha Stable Fields.

Descriptive Note : Technical rept. 1 Oct 86-30 Sep 87,

Corporate Author : NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS

Personal Author(s) : Nolan, John P

PDF Url : ADA186432

Report Date : Dec 1986

Pagination or Media Count : 22

Abstract : This document examines the paths of the stable fields that are the analogs of index-beta Gaussian fields. The author finds Holder conditions on their paths and finds the Hausdorff dimension of the image, graph, and level sets when we have local nondeterminism, generalizing the Gaussian results. Keywords: inversion; random variables.

Descriptors :   *STOCHASTIC PROCESSES, GRAPHS, RANDOM VARIABLES, STABILITY

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE