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商品詳細
Estimation of Stochastic Processes with Stationary Increments and Cointegrated Sequences.
・ISBN 978-1-78630-503-9 hard US$ 177.95
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-119-66353-9
| 著者・編者 | Luz, Maksym / Moklyachuk, M., |
|---|---|
| 出版社 | (Wiley-ISTE, UK) |
| 出版年月 | 2019 |
| ページ数 | 308 pp. |
| 言語 | ENG |
| ニュース番号 | ＜654-L581 654-P1059＞ |
解説
Estimation of Stochastic Processes is intended for researchers in the field of econometrics, financial mathematics, statistics or signal processing. This book gives a deep understanding of spectral theory and estimation techniques for stochastic processes with stationary increments. It focuses on the estimation of functionals of unobserved values for stochastic processes with stationary increments, including ARIMA processes, seasonal time series and a class of cointegrated sequences.
Furthermore, this book presents solutions to extrapolation (forecast), interpolation (missed values estimation) and filtering (smoothing) problems based on observations with and without noise, in discrete and continuous time domains. Extending the classical approach applied when the spectral densities of the processes are known, the minimax method of estimation is developed for a case where the spectral information is incomplete and the relations that determine the least favorable spectral densities for the optimal estimations are found.