Control charts for GARCH processes
β Scribed by S. Schipper; W. Schmid
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 509 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
In this paper simultaneous exponentially weighted moving average schemes for the mean and the variance of a financial time series are introduced. The target process is assumed to be a GARCH process. It is proved that in some cases the bivariate approach leads to a smaller out-of-control average run length. In an extensive simulation study the control schemes are compared with each other. The control charts are applied to the returns of stocks. The information about deviations from the target process can be used to construct a trading strategy based on options.
π SIMILAR VOLUMES
We provide in this paper asymptotic theory for the multivariate GARCHΓ°p; qΓ process. Strong consistency of the quasi-maximum likelihood estimator (MLE) is established by appealing to conditions given by Jeantheau (Econometric Theory 14 (1998), 70) in conjunction with a result given by Boussama (Ergo
## Abstract In this paper we describe an approach for establishing control limits and sampling times which derives from economic performance criteria and a model for random shifts. The total cost related to both production and control is calculated, based on cost estimates for false alarms, for not