Wave-Length and Amplitude for a Stationary Process after a High Maximum,

Abstract

Let the set (epsilon(t), t an element of R) be a stationary, Gaussian process with the covariance function r(t) (r(0)=1, -r double prime (0) = lambda sub 2), and assume it has a local maximum with height u at t = 0. Let tau sub u and delta sub u be wave-length and amplitude, i.e. the horizontal and vertical distances between the maximum and the following minimum. The paper deals with the limit distribution (tau sub u, delta sub u as u approaches infinity.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1971
Accession Number
AD0722004

Entities

People

  • Georg Lindgren

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Amplitude
  • Computing-Related Activities
  • Cooperation
  • Covariance
  • Data Science
  • Gaussian Processes
  • Information Science
  • Interdisciplinary Science
  • Mathematical Analysis
  • Mathematics
  • Stationary
  • Stationary Processes
  • Statistical Analysis
  • Statistics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Mathematical Modeling and Probability Theory.