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Modeling Time-Varying Unconditional Variance by Means of a Free-Knot Spline-GARCH Model

(Autor)

Buch | Softcover
XXII, 237 Seiten
2022 | 1st ed. 2022
Springer Fachmedien Wiesbaden GmbH (Verlag)
978-3-658-38617-7 (ISBN)

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Modeling Time-Varying Unconditional Variance by Means of a Free-Knot Spline-GARCH Model - Oliver Old
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The book addresses the problem of a time-varying unconditional variance of return processes utilizing a spline function. The knots of the spline functions are estimated as free parameters within a joined estimation process together with the parameters of the mean, the conditional variance and the spline function. With the help of this method, the knots are placed in regions where the unconditional variance is not smooth. The results are tested within an extensive simulation study and an empirical study employing the S&P500 index.

The dissertation was written at the Chair of Applied Statistics and Methods of Empirical Social Research at the Faculty of Economics and Business Administration of the FernUniversitat in Hagen. From 2021 Oliver Old researched in the field of applied statistics, machine learning and data science at two EU-Horizon projects at the Department of Anesthesiology, Intensive Care and Pain Therapy at the University Hospital Frankfurt.

Introduction.- Financial time series.- Smoothing long term volatility.- 4 Free-knot spline-GARCH model.- Simulation study.- Empirical study.- Conclusion.

Erscheinungsdatum
Reihe/Serie Gabler Theses
Zusatzinfo XXII, 237 p. 57 illus. in color.
Verlagsort Wiesbaden
Sprache englisch
Maße 148 x 210 mm
Gewicht 344 g
Themenwelt Mathematik / Informatik Informatik
Mathematik / Informatik Mathematik Finanz- / Wirtschaftsmathematik
Wirtschaft Allgemeines / Lexika
Wirtschaft Betriebswirtschaft / Management Finanzierung
Schlagworte Free knot spline function • GARCH • spline function • spline-GARCH • time varying second moment • time varying unconditional variance
ISBN-10 3-658-38617-7 / 3658386177
ISBN-13 978-3-658-38617-7 / 9783658386177
Zustand Neuware
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