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. Author manuscript; available in PMC: 2023 Feb 3.
Published in final edited form as: Phys Rev E. 2019 Jan;99(1-1):012101. doi: 10.1103/PhysRevE.99.012101

TABLE I.

Physical (with and without measurement noise) and corresponding ARFIMA(1, d, 1) models.

Physical model ARFIMA(1, d, 1)
Confinement by a potential well (O-U) AR(1)
O-U + noise ARMA(1,1)
BM MA(0)
BM + noise MA(1)
FBM FI(d)
FBM + noise FIMA(d, 1)