Some New Results in the Theory of Recurrent Events - A Preliminary Report.

Abstract

The main focus of the work is to obtain approximate formulae for u(n), the expected number of occurrences of an aperiodic recurrent event at time n. The formulae are all of the type u(n)=psi(n) + rho(n), where psi(n) is explicitly calculable in terms of known features of the model and rho(n) is a remainder term tending to zero as n approaches the limit of infinity. The thrust of the work lies in showing the way in which assumptions about the underlying model are reflected by rho(n).

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1976
Accession Number
ADA032695

Entities

People

  • Walter L. Smith

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Analytic Functions
  • Classification
  • Contour Integrals
  • Convergence
  • Fourier Series
  • Integrals
  • Military Research
  • Monotone Functions
  • North Carolina
  • Probability
  • Probability Distributions
  • Random Variables
  • Random Walk
  • Security
  • Sequences
  • Statistics
  • Universities

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Theoretical Analysis.