A Mixed Limit Theorem for Stable Random Fields

Abstract

A mixed distributional limit theorem for a stable random field of index 0 < alpha < 2 is derived. These random fields are of special interest in pattern analysis, in particular, in pattern synthesis. This paper considers the case when the underlying graph that the random field is defined on is linear. This result is encouraging insofar as it shows that the mixed limit theorems do exist in the stable case. The final limiting distribution can be written in terms of the stable process of index alpha in D0, 1.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1990
Accession Number
ADA238222

Entities

People

  • Jayaram Sethuraman
  • T. V. Kurien

Organizations

  • Florida State University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Algorithms
  • Classification
  • Convergence
  • Data Science
  • Gaussian Processes
  • Information Science
  • Military Research
  • Observation
  • Probability
  • Random Variables
  • Scientific Research
  • Security
  • Simulations
  • Stochastic Processes
  • Weak Convergence

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Regression Analysis.