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Sampling rate of spatial stochastic processes with independent components in modeling random search paths
Phys. Rev. E 85, 021907 – Published 13 February, 2012
DOI: https://doi.org/10.1103/PhysRevE.85.021907
Abstract
Continuous-time modeling of random searches is designed to be robust to the sampling rate while the spatial model is required to be of rotation-invariant type, which is often computationally prohibitive. Such computational difficulty may be circumvented by employing a model with independent components. We demonstrate that its disadvantages in statistical properties are blurred under lower frequency. We propose a quantitative criterion for choice of the sampling rate at which a spatial model with independent components resembles a rotation-invariant model. Our findings have the potential to assist the observer to employ simpler models in the continuous-time framework to avoid expensive computation required for statistical inference.
Article Text
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