Modelling financial time series with SEMIFAR GARCH model
Author(s) -
Yuanhua Feng,
Jan Beran,
Keming Yu
Publication year - 2007
Publication title -
ima journal of management mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 34
eISSN - 1471-6798
pISSN - 1471-678X
DOI - 10.1093/imaman/dpm024
Subject(s) - autoregressive conditional heteroskedasticity , heteroscedasticity , autoregressive model , econometrics , series (stratigraphy) , range (aeronautics) , time series , finance , mathematics , computer science , economics , statistics , volatility (finance) , paleontology , materials science , composite material , biology
A class of semiparametric fractional autoregressive GARCH models (SEMIFAR-GARCH), which includes deterministic trends, difference stationarity and stationarity with short- and long-range dependence, and heteroskedastic model errors, is very powerful for modelling financial time series. This paper discusses the model fitting, including an efficient algorithm and parameter estimation of GARCH error term. So that the model can be applied in practice. We then illustrate the model and estimation methods with a few of different finance data sets.
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