Decomposition of Time Series into Deterministic and Indeterministic Components.

Abstract

Samples of a time series contain deterministic and indeterministic components. Frequency of occurrence of deterministic components can be estimated by fitting the data to an autoregression model and applying Z-transform theory of this model. A test is presented for testing the hypothesis that a periodic component is contained. By extraction of periodic components and repeating the procedure, the spectrum of the sampled data can be whitened. This report discusses this procedure, presents a computer program that implements this procedure and gives results of this program applied to test data. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 19, 1971
Accession Number
AD0729046

Entities

People

  • Charles Troy Brodnax

Organizations

  • Southern Methodist University

Tags

DTIC Thesaurus Topics

  • Computer Programs
  • Computers
  • Decomposition
  • Extraction
  • Frequency
  • Spectra

Fields of Study

  • Mathematics

Readers

  • Image Processing and Computer Vision.
  • Regression Analysis.
  • Statistical inference.