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Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Peer-reviewed Journal Articles, etc >
Linear filtering of systems with memory and application to finance
| Title: | Linear filtering of systems with memory and application to finance |
| Authors: | Inoue, A. Browse this author | | Nakano, Y. Browse this author | | Anh, V. Browse this author |
| Issue Date: | 2006 |
| Publisher: | Hindawi Publishing Corporation |
| Journal Title: | Journal of Applied Mathematics and Stochastic Analysis |
| Volume: | 2006 |
| Start Page: | 1 |
| End Page: | 26 |
| Publisher DOI: | 10.1155/JAMSA/2006/53104 |
| Abstract: | We study the linear filtering problem for systems driven by continuous Gaussian processes V(1) and V(2) with memory described by two parameters. The processes V(j) have the virtue that they possess stationary increments and simple semimartingale representations simultaneously. They allow for straightforward parameter estimations. After giving the semimartingale representations of V(j) by innovation theory, we derive Kalman-Bucy-type filtering equations for the systems. We apply the result to the optimal portfolio problem for an investor with partial observations. We illustrate the tractability of the filtering algorithm by numerical implementations. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/18904 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 井上 昭彦
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