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Related Experiment Videos

Neural network models for conditional distribution under bayesian analysis.

Tatiana Miazhynskaia1, Sylvia Frühwirth-Schnatter, Georg Dorffner

  • 1Institute of Management Science, Vienna University of Technology, Vienna, Austria. tmiazhyn@pop.tuwien.ac.at

Neural Computation
|November 30, 2007
PubMed
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Neural networks effectively predict financial return series volatility, outperforming traditional GARCH models. A Bayesian approach with model evidence was key to selecting an optimal neural network for market data analysis.

Area of Science:

  • Quantitative Finance
  • Machine Learning
  • Econometrics

Background:

  • Accurate prediction of financial return series volatility is crucial for risk management.
  • Traditional models like GARCH(1,1) have limitations in capturing complex nonlinear dynamics.
  • Neural networks offer a flexible alternative for modeling nonlinear autoregressive processes.

Purpose of the Study:

  • To compare the predictive performance of neural network (NN) models against the GARCH(1,1) model for the second moment of conditional density in return series.
  • To develop and apply a Bayesian methodology for estimating NN models, incorporating model evidence for complexity and hidden unit identification.
  • To empirically validate the proposed strategy using real market data.

Main Methods:

  • Nonlinear autoregression using neural networks.

Related Experiment Videos

  • Bayesian estimation framework employing Markov chain Monte Carlo (MCMC) simulations.
  • Model evidence-based selection for NN architecture (hidden units and complexity).
  • Comparison with the Generalized Autoregressive Conditional Heteroskedasticity (GARCH(1,1)) model.
  • Main Results:

    • Neural network models demonstrated strong performance in predicting the second moment of conditional density.
    • The proposed Bayesian methodology successfully identified optimal NN configurations.
    • Empirical application to market data showed significant support for a nonlinear multilayer perceptron model with two hidden units.
    • The NN approach outperformed the GARCH(1,1) model in this context.

    Conclusions:

    • Neural networks, particularly nonlinear multilayer perceptrons, provide a powerful tool for modeling and predicting financial return series volatility.
    • The integrated Bayesian framework offers a robust method for estimating and selecting complex NN models.
    • The findings suggest that advanced machine learning techniques can enhance traditional econometric approaches in financial forecasting.