financial time series and use it to improve the short-term forecasts from GARCH models. We study different generalizations of … GARCH that allow for several time scales. On our holding sample, none of the considered models can fully exploit the …

long memory. This paper uses fractionally integrated GARCH (FIGARCH) to test and account for long memory. The analysis …

original empirical time series, but also with the simulated results from the corresponding Brownian Motion and GARCH processes … wavelet scalograms, we demonstrate that the MMAR outperforms both the GBM and GARCH(1,1) in time-frequency comparisons, in … attributes of the empirical distributions, while the simulated GBM and GARCH(1,1) processes cannot preserve the thick-tails, high …

. After showing that the expectation of the sum of the estimates of the autoregressive coefficients of a GARCH(1,1) model is …