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Explicit representation of finite predictor coefficients and its applications
Description
We consider the finite-past predictor coefficients of stationary time series, and establish an explicit representation for them, in terms of the MA and AR coefficients. The proof involves the alternate iteration of projection operators associated with the infinite past and the infinite future. We provide several applications, which include rates of convergence of the finite predictor coefficients, an equality of Baxter-type for long memory processes, and a simple representation of the partial autocorrelation function α(·). We use the last result to obtain the precise asymptotic behavior of α(·) with remainder, for the fractional ARIMA processes.
Journal
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- Hokkaido University Preprint Series in Mathematics
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Hokkaido University Preprint Series in Mathematics 646 1-32, 2004
Department of Mathematics, Hokkaido University
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Keywords
Details 詳細情報について
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- CRID
- 1390290699771997440
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- NII Article ID
- 120006459359
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- DOI
- 10.14943/83799
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- HANDLE
- 2115/69453
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- Text Lang
- en
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- Article Type
- departmental bulletin paper
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- Data Source
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- JaLC
- IRDB
- CiNii Articles
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- Abstract License Flag
- Allowed