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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
American Physical Society
2022-03-01
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Series: | Physical Review Research |
Online Access: | http://doi.org/10.1103/PhysRevResearch.4.013206 |