Adaptive Forecasting with an AR(1) Model

Abstract

Updating formulas for the forecasts of a one-parameter autoregressive model are obtained when the parameter is assumed random. It is shown that the updated forecasts are similar to those derived from exponentially weighted moving average forecasts with the important difference that forecasts can lie outside the interval containing the old forecast and the new observation. Based on the growth of the new observations the updated confidence intervals may become larger or smaller than the old ones. Similarities to and differences between a Box-Jenkins model, a Kalman Filter and a model proposed by Makridakis and Wheelwright are illustrated.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1977
Accession Number
ADA060337

Entities

People

  • Robert M. Oliver

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Bayes Theorem
  • California
  • Delphi Method
  • Engineering
  • Equations
  • Filters
  • Industrial Engineering
  • Intervals
  • Kalman Filters
  • Measurement
  • Military Research
  • Observation
  • Operations Research
  • Random Variables
  • United States
  • Universities

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Atmospheric Science/Meteorology
  • Statistical inference.