Time Series Model Identification and Prediction Variance Horizon.

Abstract

An approach to time series modelling is described; it classifies the time into one of three memory types (called no memory, short memory, and long memory), and then finds a whitening filter. When the time series is short memory one would like to identify the whitening filter type as AR, MA, or ARMA before parameter estimation. A new tool is introduced which can be used to diagnose both the memory type of a time series, and the whitening filter type of a short memory time series. It is called prediction variance horizon function. To classify the model type of a time series, one uses the shape of PVH and the value of the horizon HOR (defined as the smallest value of h for which PVH(h) less than or = 0.05). The analysis of a real time series, called Freeze, is described.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1980
Accession Number
ADA094315

Entities

People

  • Emanuel Parzen

Organizations

  • Texas A&M University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Classification
  • Coefficients
  • Computer Programs
  • Delphi Method
  • Distribution Functions
  • Equations
  • Estimators
  • Frequency
  • Identification
  • Military Research
  • Random Variables
  • Statistics
  • Time Series Analysis
  • Transfer Functions
  • Universities
  • White Noise

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computer Science/Computer Engineering/Data Science/Digital Signal Processing.
  • Statistical inference.