Statistical inference of one-dimensional persistent nonlinear time series and application to predictions

We introduce a method for reconstructing macroscopic models of one-dimensional stochastic processes with long-range correlations from sparsely sampled time series by combining fractional calculus and discrete-time Langevin equations. The method is illustrated for the ARFIMA(1,d,0) process and a nonl...

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Bibliographic Details
Main Authors: Johannes A. Kassel, Holger Kantz
Format: Article
Language:English
Published: American Physical Society 2022-03-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.013206