The Autocorrelation Function of Seasonal ARMA Models.

Abstract

This note obtains the theoretical autocorrelation function of an Autoregressive Moving Average (ARMA) model with multiplicative seasonality. It is shown that this function can be interpretated as the result of the interaction between the seasonal and regular autocorrelation patterns of the ARMA model. The use of this result makes easier the identification of the structure of the model, is helpful in choosing between a multiplicative or additive seasonal component and leads to a better understanding of the properties of the estimated autocorrelation function of scalar ARMA processes. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1983
Accession Number
ADA137929

Entities

People

  • D. Pena

Organizations

  • University of Wisconsin–Madison

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Communities of Interest

  • Materials and Manufacturing Processes

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  • Autocorrelation
  • Coefficients
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  • Mathematical Analysis
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  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science/Meteorology
  • Statistical inference.