The iid property of the model’s residuals is a crucial criterion for assessing the fit of the model to the data. GARCH-class models are the most commonly used nonlinear models in financial econometrics. In this paper various uni- and multivariate GARCH-class models were applied to selected...

A model of the short-term power system load forecasting based on fuzzy clustering is presented. It can be classified as similarity-based models relying on the assumption that if patterns of the time series sequences are similar, then the forecast patterns associated with them are also similar....

A concept of fractal dimension as a measure of risk in securities trading is presented in this paper. The two methods of calculating fractal dimension of time series – R/S analysis and segment-variation method are described and applied to indices of the Warsaw Stock Exchange.

Construction, estimation and application of the mutual information measure have been presented in this paper. The simulations have been carried out to verify its usefulness to detect nonlinear serial dependencies. Moreover, the mutual information measure has been applied to the indices and the...

An evaluation of the efficiency of different methods of the minimum variance portfolio selection was performed for seventy stocks from the Warsaw Stock Exchange. Eight specifications of multivariate GARCH models and six other methods were used. The application of all considered GARCH-class...

The relations between a stock market and macroeconomic processes are objects of interest of this paper. The existence of the long-run dependence between the Warsaw Stock Exchange Index and selected macroeconomic processes was demonstrated. A positive influence on the WIG index in the...