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Stationarity, Mixing, Distributional Properties and Moments of GARCH(p, q)–Processes

Alexander M. Lindner ()
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Alexander M. Lindner: Institut für Mathematische Stochastik, Technische Universität Braunschweig

Chapter 2 in Handbook of Financial Time Series, 2009, pp 43-69 from Springer

Abstract: Abstract This paper collects some of the well known probabilistic properties of GARCH (p, q) processes. In particular, we address the question of strictly and of weakly stationary solutions. We further investigate moment conditions as well as the strong mixing property of GARCH processes. Some distributional properties such as the tail behaviour and continuity properties of the stationary distribution are also included.

Keywords: Stationary Solution; Spectral Radius; Probabilistic Property; Financial Time Series; Noise Sequence (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-71297-8_2

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DOI: 10.1007/978-3-540-71297-8_2

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