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Title: Sampling rate of spatial stochastic processes with independent components in modeling random search paths
Authors: Kawai, Reiichiro
First Published: 13-Feb-2012
Publisher: American Physical Society
Citation: Physical Review E, 2012, 85 (2), 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.
DOI Link: 10.1103/PhysRevE.85.021907
ISSN: 1539-3755
eISSN: 1550-2376
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: © 2012 American Physical Society. Deposited with reference to the publisher's archiving policy available on the SHERPA/RoMEO website.
Description: The published version is available at:
Appears in Collections:Published Articles, Dept. of Mathematics

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