Strictly Oscillatory Processes.

Abstract

Empirical evidence shows that the rate of zero-crossings of many stochastic processes tends to increase by repeated differencing. This motivates the definition of a class of processes whose expected oscillation increases monotonically by repeated differencing. The class of strictly stationary processes is a subclass of this class. It is shown that there is a limit to oscillation by providing that the point processes of zero-crossings obtained by repeated differencing converge. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 21, 1987
Accession Number
ADA183775

Entities

People

  • Benjamin Kedem
  • Donald Martin

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Convergence
  • Coordinate Systems
  • Crossings
  • Distribution Functions
  • Fourier Analysis
  • Frequency
  • Gaussian Processes
  • Information Science
  • Mathematics
  • Numbers
  • Oscillation
  • Probability
  • Random Variables
  • Sequences
  • Stationary Processes
  • Stochastic Processes
  • Universities

Fields of Study

  • Mathematics

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Statistical inference.