On the Maximum and Absorption Time of Left-Continuous Random Walk.

Abstract

In a recent paper P.J. Green obtained some conditional limit theorems for the absorption time of left-continuous random walk. His methods required certain distributions to have exponentially decreasing tails. Here a different approach is taken to produce Green's results under minimal conditions. Limit theorems are given for the maximum as the initial position of the random walk tends to infinity. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1977
Accession Number
ADA049687

Entities

People

  • Anthony G. Pakes

Organizations

  • Princeton University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Absorption
  • Age Distribution
  • Convergence
  • Equations
  • Fourier Analysis
  • Mathematics
  • Military Research
  • New York
  • Normal Distribution
  • Power Series
  • Probability
  • Random Walk
  • Sequences
  • Statistics
  • Universities

Fields of Study

  • Mathematics

Readers

  • Educational Psychology
  • Mathematical Modeling and Probability Theory.
  • Spectroscopy.