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Fractional Processes with Long-range Dependence
| Title: | Fractional Processes with Long-range Dependence |
| Authors: | Inoue, Akihiko Browse this author | | Anh, V.V. Browse this author |
| Keywords: | Predictor coefficients | | prediction | | fractional Brownian motion | | long-range dependence | | Baxter's inequality |
| Issue Date: | 2007 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 870 |
| Start Page: | 1 |
| End Page: | 18 |
| Abstract: | We introduce a class of Gaussian processes with stationary increments which exhibit long-range dependence. The class includes fractional Brownian motion with Hurst parameter H>1/2 as a typical example. We establish infinite and finite past prediction formulas for the processes in which the predictor coefficients are given explicitly in terms of the MA and AR coefficients. We apply the formulas to prove an analogue of Baxter's inequality, which concerns the L^1-estimate of the difference between the finite and infinite past predictor coefficients. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69679 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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