Lyapunov exponents as a nonparametric diagnostic for stability analysis
作者:
W. D. Dechert,
R. Gencay,
期刊:
Journal of Applied Econometrics
(WILEY Available online 1992)
卷期:
Volume 7,
issue S1
页码: 41-60
ISSN:0883-7252
年代: 1992
DOI:10.1002/jae.3950070505
出版商: Wiley Subscription Services, Inc., A Wiley Company
数据来源: WILEY
摘要:
AbstractThe common observation made in the empirical nonlinear dynamics literature is the constraints imposed by the availability of a limited number of observations in the implementation of the existing algorithms of Lyapunov exponents. The algorithm discussed here can estimate allnLyapunov exponents of an unknownn‐dimensional dynamical system accurately with limited number of observations. This makes the algorithm attractive for applications to economic as well as financial time‐series data. The implementation of the algorithm is carried out by multilayer feedforward networks which are capable of approximating any function and its derivatives to any degree of accur
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