Central Limit Theorems in the Area of Large Deviations for Some Dependent Random Variables.

Abstract

In this paper we obtain central limit theorems for some dependent random variables which are used to describe the distribution of magnetic spins present in a ferromagnet crystal. A ferromagnet crystal consists of a large number of sites. At site i there is some amount of magnetic spin present. The magnetic spin present at any site interacts with the magnetic spins at its neighboring sites and hence gives rise to some dependency among the magnetic spin present.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1982
Accession Number
ADA117714

Entities

People

  • Jayaram Sethuraman
  • Narasinga Rao Chaganty

Organizations

  • Florida State University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Critical Temperature
  • Distribution Functions
  • Ergodic Processes
  • Magnetic Fields
  • Normal Distribution
  • Numbers
  • Phase Transformations
  • Probability
  • Random Variables
  • Real Numbers
  • Sequences
  • Standards
  • Statistics
  • Theorems
  • Transitions
  • United States Government

Fields of Study

  • Physics

Readers

  • Plasma Physics / Magnetohydrodynamics
  • Statistical inference.