Some Path Properties of p-th Order and Symmetric Stable Processes.

Abstract

Necessary and sufficient conditions are presented for the measurability of p-th order or symmetric stable stochastic processes and for the integrability or absolute continuity of sample paths of symmetric stable processes. A sub-Gaussian process has one of these three properties if and only if the corresponding Gaussian process has the same property. Also obtained are sufficient conditions for absolute continuity of p-th order processes. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1978
Accession Number
ADA055844

Entities

People

  • Grady Miller
  • Stamatis Cambanis

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Continuity
  • Data Science
  • Gaussian Processes
  • Information Science
  • Mathematics
  • Probability
  • Stochastic Processes

Readers

  • Mathematical Modeling and Probability Theory.