Theory and Applications of Random Fields.

Abstract

The main results described in this report include: (1) A discussion of rough surfaces and their modelling by chi-squared processes and fields. Results which describe how the theory of the latter differs from the Gaussian theory; (2) A development of a new methodology for determining deviation from normality in process and field data; (3) New results on the distribution of the maxima of general Gaussian processes; and (4) Development of a new representation of generalized Gaussian fields and those fields subordinated to it via central limit theorems for additive functionals of Markov processes.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1985
Accession Number
ADA162277

Entities

People

  • Robert J. Adler

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Classification
  • Computational Science
  • Data Science
  • Free Field
  • Gaussian Processes
  • Geometry
  • Information Science
  • Knowledge Management
  • Markov Processes
  • Mathematical Models
  • Models
  • Security
  • Standards
  • Statistics
  • Stochastic Processes
  • Surveys
  • Theorems

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Plasma Physics / Magnetohydrodynamics
  • Regression Analysis.