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Goodness-of-fit test for stochastic volatility models. (English) Zbl 1383.62241
Ferger, Dietmar (ed.) et al., From statistics to mathematical finance. Festschrift in honour of Winfried Stute. Cham: Springer (ISBN 978-3-319-50985-3/hbk; 978-3-319-50986-0/ebook). 89-104 (2017).
Summary: A goodness-of-fit test based on empirical processes is proposed as a model diagnostic check method for continuous time stochastic volatility models. More specifically, as the volatility is not observable, a marked empirical process is constructed from the representation in a state space model form associated to the discretized version of the underlying process. Distributions of these processes are approximated using bootstrap techniques. Some simulation results and an empirical application to an EURIBOR (Euro Interbank Offered Rate) data set are presented for illustration.
For the entire collection see [Zbl 1383.62010].

MSC:
62P05 Applications of statistics to actuarial sciences and financial mathematics
62F03 Parametric hypothesis testing
62M10 Time series, auto-correlation, regression, etc. in statistics (GARCH)
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