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Modeling and Multivariate Methods - SAS

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372 Performing Time Series Analysis Chapter 14<br />

Transfer Functions<br />

Figure 14.13 Prewhitening Dialog<br />

Click Estimate to reveal the Prewhitening plot.<br />

Patterns in these plots suggest terms in the transfer function model.<br />

Transfer Function Model<br />

A typical transfer function model with m inputs can be represented as<br />

ω 1<br />

( B)<br />

Y t<br />

– μ -------------- X<br />

δ 1<br />

( B)<br />

1, t – d1<br />

… ω m<br />

---------------- ( B)<br />

θ( B)<br />

=<br />

+ + X<br />

δ m<br />

( B)<br />

+ m, m–<br />

dm ϕ -----------e ( B)<br />

t<br />

where<br />

Y t denotes the output series<br />

X 1 to X m denote m input series

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