title: Sampling rate of spatial stochastic processes with independent components in modeling random search paths.
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.
authors.affiliation: Department of Mathematics, University of Leicester, Leicester LE1 7RH, United Kingdom. reiichiro.kawai@le.ac.uk
authors.forename: Reiichiro
authors.initials: R
authors.lastname: Kawai
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D016247:Information Storage and Retrieval / Q000379:methods*; D015233:Models, Statistical; D018401:Sample Size; D012815:Signal Processing, Computer-Assisted