Publisher:
Divisions of Research & Statistics and Monetary Affairs, Federal Reserve Board, Washington, D.C.
Linear GARCH(1,1) and threshold GARCH(1,1) processes are established as regularly varying, meaning their heavy tails are Pareto like, under conditions that allow the innovations from the, respective, processes to be skewed. Skewness is considered a...
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ZBW - Leibniz-Informationszentrum Wirtschaft, Standort Kiel
Signature:
VS 412 (2017,095)
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Linear GARCH(1,1) and threshold GARCH(1,1) processes are established as regularly varying, meaning their heavy tails are Pareto like, under conditions that allow the innovations from the, respective, processes to be skewed. Skewness is considered a stylized fact for many financial returns assumed to follow GARCH-type processes. The result in this note aids in establishing the asymptotic properties of certain GARCH estimators proposed in the literature