AN UNRESTRICTED LINEAR RANDOM WALK WITH NEGATIVE EXPONENTIALLY DISTRIBUTED STEP LENGTHS

Abstract

An account is given of the theory of a doubly infinite linear random walk in which step lengths have a negative exponential distribution and the direction of each step is not necessarily equiprobable. The problem of first passage time is also studied. The theory was developed in connection with a study of random linear anti-submarine patrols.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1966
Accession Number
AD0487150

Entities

People

  • B. W. Conolly

Organizations

  • SACLANT ASW Research Centre

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Analytic Functions
  • Difference Equations
  • Differential Equations
  • Equations
  • Integral Equations
  • Integrals
  • Intervals
  • Laplace Transformation
  • National Security
  • Particles
  • Probability
  • Probability Distributions
  • Random Walk
  • United Kingdom
  • United States
  • Virginia

Fields of Study

  • Mathematics

Readers

  • Computer Programming and Software Development.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.