| Abstract: | A useful class of models for seasonal time series that cannot be filtered or standardized to achieve second-order stationarity is that of periodic autoregressive moving average (PARMA) models, which are extensions of ARMA models that allow periodic (seasonal) parameters. An approximation to the exact likelihood for Gaussian PARMA processes is developed, and a straightforward algorithm for its maximization is presented. The algorithm is tested on several periodic ARMA(1, 1) models through simulation studies and is compared to moment estimation via the seasonal Yule-Walker equations. Applicability of the technique is demonstrated through an analysis of a seasonal stream-flow series from the Rio Caroni River in Venezuela. |
| Genre: | Article |
| ProdID: | 70012749 |
| Citation Author: | Vecchia, A. V. |
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| Citation End Page: | 384 |
| Citation Issue: | 4 |
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| Citation Language: | English |
| Citation Larger Work Title: | Technometrics |
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| Citation Number Of Pages: | 10 |
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| Citation Search Results Text: | MAXIMUM LIKELIHOOD ESTIMATION FOR PERIODIC AUTOREGRESSIVE MOVING AVERAGE MODELS.; 1985; Article; Journal; Technometrics; Vecchia, A. V. |
| Citation Start Page: | 375 |
| Citation Volume: | 27 |
| Citation Year: | 1985 |
| Type: | citation/reference |
| Text: | MAXIMUM LIKELIHOOD ESTIMATION FOR PERIODIC AUTOREGRESSIVE MOVING AVERAGE MODELS.; 1985; Article; Journal; Technometrics; Vecchia, A. V. |
| URL (THUMBNAIL): | http://pubs.er.usgs.gov/thumbnails/outside_thumb.jpg |
| Date Other: | Tue, 1 Jan 1985 00:00 -0600 |
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