Separating Information Maximum Likelihood Method for High-Frequency Financial Data
Seiten
2018
|
1st ed. 2018
Springer Verlag, Japan
978-4-431-55928-3 (ISBN)
Springer Verlag, Japan
978-4-431-55928-3 (ISBN)
This book presents a systematic explanation of the SIML (Separating Information Maximum Likelihood) method, a new approach to financial econometrics.
Considerable interest has been given to the estimation problem of integrated volatility and covariance by using high-frequency financial data. Although several new statistical estimation procedures have been proposed, each method has some desirable properties along with some shortcomings that call for improvement. For estimating integrated volatility, covariance, and the related statistics by using high-frequency financial data, the SIML method has been developed by Kunitomo and Sato to deal with possible micro-market noises.
The authors show that the SIML estimator has reasonable finite sample properties as well as asymptotic properties in the standard cases. It is also shown that the SIML estimator has robust properties in the sense that it is consistent and asymptotically normal in the stable convergence sense when there are micro-market noises, micro-market (non-linear) adjustments, and round-off errors with the underlying (continuous time) stochastic process. Simulation results are reported in a systematic way as are some applications of the SIML method to the Nikkei-225 index, derived from the major stock index in Japan and the Japanese financial sector.
Considerable interest has been given to the estimation problem of integrated volatility and covariance by using high-frequency financial data. Although several new statistical estimation procedures have been proposed, each method has some desirable properties along with some shortcomings that call for improvement. For estimating integrated volatility, covariance, and the related statistics by using high-frequency financial data, the SIML method has been developed by Kunitomo and Sato to deal with possible micro-market noises.
The authors show that the SIML estimator has reasonable finite sample properties as well as asymptotic properties in the standard cases. It is also shown that the SIML estimator has robust properties in the sense that it is consistent and asymptotically normal in the stable convergence sense when there are micro-market noises, micro-market (non-linear) adjustments, and round-off errors with the underlying (continuous time) stochastic process. Simulation results are reported in a systematic way as are some applications of the SIML method to the Nikkei-225 index, derived from the major stock index in Japan and the Japanese financial sector.
Naoto Kunitomo, Meiji University Seisho Sato, The University of Tokyo Daisuke Kurisu, Tokyo Institute of Technology
1. Introduction.- 2. High-Frequency Financial Data and Statistical Problems.- 3. The SIML method.- 4. Asymptotic Properties.- 5. Simulation and Finite Sample Properties.- 6. Asymptotic Robustness.- 7. Two Dimension Applications.- 8. Concluding Remarks.- 9. References.
| Erscheinungsdatum | 21.09.2018 |
|---|---|
| Reihe/Serie | JSS Research Series in Statistics |
| JSS Research Series in Statistics | |
| SpringerBriefs in Statistics | SpringerBriefs in Statistics |
| Zusatzinfo | 8 Illustrations, black and white; VIII, 114 p. 8 illus. |
| Verlagsort | Tokyo |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Computerprogramme / Computeralgebra |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| Wirtschaft ► Allgemeines / Lexika | |
| Wirtschaft ► Volkswirtschaftslehre ► Ökonometrie | |
| Schlagworte | Hedging and Risk Managements • High-Frequency Financial Data • Integrated Volatility and Covariance with Micro-Market Noise • Micro-Market Adjustments • round-off errors • Separating Information Maximum Likelihood (SIML) |
| ISBN-10 | 4-431-55928-0 / 4431559280 |
| ISBN-13 | 978-4-431-55928-3 / 9784431559283 |
| Zustand | Neuware |
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