Prediction of nonlinear nonstationary time series data using a digital filter and support vector regression
File(s)
Author(s)
Premanode, Bhusana
Type
Thesis or dissertation
Abstract
Volatility is a key parameter when measuring the size of the errors made in modelling returns
and other nonlinear nonstationary time series data. The Autoregressive Integrated Moving-
Average (ARIMA) model is a linear process in time series; whilst in the nonlinear system, the
Generalised Autoregressive Conditional Heteroskedasticity (GARCH) and Markov Switching
GARCH (MS-GARCH) models have been widely applied. In statistical learning theory,
Support Vector Regression (SVR) plays an important role in predicting nonlinear and
nonstationary time series data. We propose a new class model comprised of a combination of
a novel derivative Empirical Mode Decomposition (EMD), averaging intrinsic mode function
(aIMF) and a novel of multiclass SVR using mean reversion and coefficient of variance (CV)
to predict financial data i.e. EUR-USD exchange rates. The proposed novel aIMF is capable
of smoothing and reducing noise, whereas the novel of multiclass SVR model can predict
exchange rates. Our simulation results show that our model significantly outperforms
simulations by state-of-art ARIMA, GARCH, Markov Switching generalised Autoregressive
conditional Heteroskedasticity (MS-GARCH), Markov Switching Regression (MSR) models
and Markov chain Monte Carlo (MCMC) regression.
and other nonlinear nonstationary time series data. The Autoregressive Integrated Moving-
Average (ARIMA) model is a linear process in time series; whilst in the nonlinear system, the
Generalised Autoregressive Conditional Heteroskedasticity (GARCH) and Markov Switching
GARCH (MS-GARCH) models have been widely applied. In statistical learning theory,
Support Vector Regression (SVR) plays an important role in predicting nonlinear and
nonstationary time series data. We propose a new class model comprised of a combination of
a novel derivative Empirical Mode Decomposition (EMD), averaging intrinsic mode function
(aIMF) and a novel of multiclass SVR using mean reversion and coefficient of variance (CV)
to predict financial data i.e. EUR-USD exchange rates. The proposed novel aIMF is capable
of smoothing and reducing noise, whereas the novel of multiclass SVR model can predict
exchange rates. Our simulation results show that our model significantly outperforms
simulations by state-of-art ARIMA, GARCH, Markov Switching generalised Autoregressive
conditional Heteroskedasticity (MS-GARCH), Markov Switching Regression (MSR) models
and Markov chain Monte Carlo (MCMC) regression.
Version
Open Access
Date Issued
2013-04
Date Awarded
2014-01
Advisor
Meade, Nigel
Toumazou, Christofer
Publisher Department
Electrical & Electronic Engineering
Publisher Institution
Imperial College London
Qualification Level
Doctoral
Qualification Name
Doctor of Philosophy (PhD)