Regularised estimators for fractional Gaussian noise
Research output: Contribution to conference › Paper › peer-review
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2011. 5025-5030 Paper presented at 49th IEEE Conference on Decision and Control (CDC), Atlanta, United States.
Research output: Contribution to conference › Paper › peer-review
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TY - CONF
T1 - Regularised estimators for fractional Gaussian noise
AU - Vivero, O.
AU - Heath, W.P.
PY - 2011/2/22
Y1 - 2011/2/22
N2 - There is significant interest in long-range dependent processes since they occur in a wide range of phenomena across different areas of study. Based on the available models capable of describing long-range dependence, various parameter estimation methods have been developed. This paper revisits the maximum likelihood estimator and its computationally efficient approximations: the Whittle Estimator and the Circulant Embedding estimator. Based on the properties of these, a regularisation method for datasets largely contaminated with errors is introduced.
AB - There is significant interest in long-range dependent processes since they occur in a wide range of phenomena across different areas of study. Based on the available models capable of describing long-range dependence, various parameter estimation methods have been developed. This paper revisits the maximum likelihood estimator and its computationally efficient approximations: the Whittle Estimator and the Circulant Embedding estimator. Based on the properties of these, a regularisation method for datasets largely contaminated with errors is introduced.
U2 - 10.1109/CDC.2010.5717764
DO - 10.1109/CDC.2010.5717764
M3 - Papur
SP - 5025
EP - 5030
T2 - 49th IEEE Conference on Decision and Control (CDC)
Y2 - 15 December 2010 through 17 December 2010
ER -