On the partial autocorrelations of once integrated autoregressive-moving average processes
Author:
O.D. Anderson a
| Affiliation: | a Department of Mathematics, Nottingham University, University Park, Nottingham, England |
DOI:
10.1080/02331887908801495
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
Formats available:
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(English)
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Abstract
An observation, from practical experience with analysing univariate time series, suggests a simple relationship between the partial autocorrelations of a process realisation which requires first differencing, and those for that same sequence of differences. The asymptotic result is proved for a general once integrated autoregressive process, but an extension to twice integrated processes is shown not to be relevant for finite samples. The results are illustrated with examples from the literature.
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| Keywords: ARIMA processes; differencing; DURBIN's recursive relations for autoregressive estimates; identification of time series; partial autocorrelation |
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