THE AUTOCORRELATION AND JOINT DISTRIBUTION FUNCTIONS OF THE SEQUENCES, {a/m j-sq}, {a/m (j+tau)-sq}

Abstract

The present-day extensive use of Monte Carlo procedures necessitates the careful investigation of methods for the generation of random numbers. In its simplest form, the underlying principle of all Monte Carlo procedures finds its expression in the following theorem: let 0oo1 be a sequence equidistributed over (0,1), and let f(x) be a function Riemann integrable on (0, 1); then Nj1f(xj) N 1of(x)dx.

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Document Details

Document Type
Technical Report
Publication Date
Mar 15, 1963
Accession Number
AD0402790

Entities

People

  • D. L. Jagerman

Organizations

  • System Development Corporation

Tags

DTIC Thesaurus Topics

  • Autocorrelation
  • Digital Computers
  • Distribution Functions
  • Equations
  • Fourier Series
  • Inequalities
  • Irrational Numbers
  • Numbers
  • Periodic Functions
  • Rational Numbers
  • Sequences
  • Square Roots
  • Standards
  • Theorems
  • Two Dimensional
  • United States

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Computational Modeling and Simulation
  • Theoretical Analysis.