Abstract
I reflect upon the development of nonlinear time series analysis since 1990 by focusing on five major areas of development. These areas include the interface between nonlinear time series analysis and chaos, the nonparametric/semiparametric approach, nonlinear state space modelling, financial time series and nonlinear modelling of panels of time series.
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Supported by Biological & Biotechnology Research Council and the Engineering & Physical Science Research Council of the United Kingdom, and by the Research Grant Council of Hong Kong.
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Tong, H. Nonlinear Time Series Analysis Since 1990: Some Personal Reflections. Acta Mathematicae Applicatae Sinica, English Series 18, 177–184 (2002). https://doi.org/10.1007/s102550200017
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DOI: https://doi.org/10.1007/s102550200017
Keywords
- Chaos
- common structure
- curse of dimensionality
- embedding dimension
- financial time series
- initial value sensitivity
- local polynomial smoother
- long memory
- Markov chain Monte Carlo
- nonlinear dynamical systems
- nonlinear state space models
- nonlinear time series
- nonparametrics
- panel of time series
- projection pursuit
- semi-parametrics
- test for determinism
- thick tail
- volatility