ON THE MEAN NUMBER OF CURVE CROSSINGS BY NONSTATIONARY NORMAL PROCESSES.

Abstract

This report considered the mean number of crossings of an arbitrary curve, in a given time T, by a non-stationary normal process. A formula was obtained for this and sufficient conditions for its validity given. These conditions concern the behavior of the covariance function of the normal process. Incidental results include sufficient conditions for continuity of a normal (non-stationary) process x(t), and also for x(t) to satisfy a Holder condition. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1964
Accession Number
AD0602168

Entities

People

  • J. D. Cryer
  • M. R. Leadbetter

Organizations

  • RTI International

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Continuity
  • Covariance
  • Crossings
  • Data Science
  • Information Science
  • Interdisciplinary Science
  • Mathematical Analysis
  • Stationary

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Statistical inference.