
Accession Number : ADA136426
Title : A Unified Approach to ARMA (AutoregressiveMoving Average) Model Identification and Preliminary Estimation.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Wilson,G T ; Piccolo,D
PDF Url : ADA136426
Report Date : Nov 1983
Pagination or Media Count : 35
Abstract : This paper reviews several different methods for identifying the orders of autoregressivemoving average models for time series data. The case is made that these have a common basis, and that a unified approach may be found in the analysis of a matrix G, defined to be the covariance matrix of forecast values. The estimation of this matrix is considered, emphasis being placed on the use of high order autoregression to approximate the predictor coefficients. Statistical procedures are proposed for analyzing G, and identifying the model orders. A simulation example and three sets of real data are used to illustrate the procedure, which appears to be very useful as a tool for order identification and preliminary model estimation. (Author)
Descriptors : *Mathematical models, *Regression analysis, *Statistical processes, Time series analysis, Autocorrelation, Identification, Estimates, Covariance, Matrices(Mathematics), Forecasting, Mathematical prediction, Correlation, Charts
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE