Spatio-temporal Ornstein‐Uhlenbeck Processes: Theory, Simulation and Statistical Inference

Spatio-temporal Ornstein‐Uhlenbeck Processes: Theory, Simulation and Statistical Inference

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Article ID: iaor201784
Volume: 44
Issue: 1
Start Page Number: 46
End Page Number: 80
Publication Date: Mar 2017
Journal: Scandinavian Journal of Statistics
Authors: ,
Keywords: simulation, statistics: inference
Abstract:

Spatio‐temporal modelling is an increasingly popular topic in Statistics. Our paper contributes to this line of research by developing the theory, simulation and inference for a spatio‐temporal Ornstein–Uhlenbeck process. We conduct detailed simulation studies and demonstrate the practical relevance of these processes in an empirical study of radiation anomaly data. Finally, we describe how predictions can be carried out in the Gaussian setting.

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