Format of Original
Physica A: Statistical Mechanics and its Applications
Original Item ID
doi: 10.1016/S0378-4371(99)00268-X; PubMed Central: PMCID 3420828
A maximum likelihood estimation method implemented in S-PLUS (S-MLE) to estimate the Hurst coefficient (H) is evaluated. The Hurst coefficient, with 0.5<HS-MLE was developed to estimate H for fractionally differenced (fd) processes. However, in practice it is difficult to distinguish between fd processes and fractional Gaussian noise (fGn) processes. Thus, the method is evaluated for estimating H for both fd and fGn processes. S-MLE gave biased results of H for fGn processes of any length and for fd processes of lengths less than 210. A modified method is proposed to correct for this bias. It gives reliable estimates of H for both fd and fGn processes of length greater than or equal to 211.
Kendziorski, Christina Marie; Bassingthwaighte, J. B.; and Tonellato, Peter J., "Evaluating Maximum Likelihood Estimation Methods to Determine the Hurst Coefficient" (1999). Mathematics, Statistics and Computer Science Faculty Research and Publications. 260.