Theory and Application of Random Fields

Abstract

The main results discussed in this report include: 1) The modelling of rough surfaces via Gaussian and non-Gaussian random fields. Development of new classes of non-Gaussian random processes; 2) The distributional properties of the supremum of Gaussian random processes defined on general state spaces. Applications of these results to the theory and application of empirical processes; 3) Investigation and development of the interface between Gaussian and Markovian processes. Results on local time and intersection local time of measure and distribution valued processes; and 4) Preparation of a monograph treating the general theory of continuity and boundedness for Gaussian processes via entropy and majorising measures.

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Document Details

Document Type
Technical Report
Publication Date
Oct 16, 1988
Accession Number
ADA204388

Entities

People

  • Robert J. Adler

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Continuity
  • Data Science
  • Gaussian Processes
  • Information Science
  • Markov Processes
  • Materials
  • Materials Science
  • Mathematics
  • Physics
  • Probability
  • Random Variables
  • Security
  • Statistical Analysis
  • Statistics
  • Stochastic Processes
  • Theorems
  • Three Dimensional

Readers

  • Mathematical Modeling and Probability Theory.
  • Statistical inference.

Technology Areas

  • Space