Bayesian source detection and parameter estimation of a plume model based on sensor network measurements

Chunfeng Huang, Tailen Hsing, Noel Cressie, Auroop R. Ganguly, Vladimir A. Protopopescu, Nageswara S. Rao

Research output: Contribution to journalReview articlepeer-review

10 Scopus citations

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.

Original languageEnglish
Pages (from-to)331-348
Number of pages18
JournalApplied Stochastic Models in Business and Industry
Volume26
Issue number4
DOIs
StatePublished - Jul 2010

Keywords

  • Bayesian statistics
  • Markov chain Monte Carlo
  • Partial differential equation
  • Plume model
  • Sensor networks

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