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Bayesian source detection and parameter estimation of a plume model based on sensor network measurements
Authors:Chunfeng Huang  Tailen Hsing  Noel Cressie  Auroop R Ganguly  Vladimir A Protopopescu  Nageswara S Rao
Institution:1. Department of Statistics, Indiana University, Bloomington, IN, U.S.A.;2. Department of Statistics, University of Michigan, Ann Arbor, MI, U.S.A.;3. Department of Statistics, The Ohio State University, Columbus, OH, U.S.A.;4. Oak Ridge National Laboratory, Oak Ridge, TN, U.S.A.
Abstract:We consider a network of sensors that measure the intensities of a complex plume composed of multiple absorption–diffusion source components. We address the problem of estimating the plume parameters, including the spatial and temporal source origins and the parameters of the diffusion model for each source, based on a sequence of sensor measurements. The approach not only leads to multiple‐source detection, but also the characterization and prediction of the combined plume in space and time. The parameter estimation is formulated as a Bayesian inference problem, and the solution is obtained using a Markov chain Monte Carlo algorithm. The approach is applied to a simulation study, which shows that an accurate parameter estimation is achievable. Copyright © 2010 John Wiley & Sons, Ltd.
Keywords:Bayesian statistics  Markov chain Monte Carlo  partial differential equation  plume model  sensor networks
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