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IJAR
2008

Least committed basic belief density induced by a multivariate Gaussian: Formulation with applications

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Least committed basic belief density induced by a multivariate Gaussian: Formulation with applications
We consider here the case where our knowledge is partial and based on a betting density function which is n-dimensional Gaussian. The explicit formulation of the least committed basic belief density (bbd) of the multivariate Gaussian pdf is provided in the transferable belief model (TBM) framework. Beliefs are then assigned to hyperspheres and the bbd follows a 2 distribution. Two applications are also presented. The first one deals with model based classification in the joint speedacceleration feature space. The second is devoted to joint target tracking and classification: the tracking part is performed using a Rao-Blackwellized particle filter, while the classification is carried out within the developed TBM scheme. Key words: Belief function theory, Transferable Belief Model, evidential theory, multivariate Gaussian pdf, target classification, Target Tracking, Particle Filtering PACS:
Francois Caron, Branko Ristic, Emmanuel Duflos, Ph
Added 25 Jan 2011
Updated 25 Jan 2011
Type Journal
Year 2008
Where IJAR
Authors Francois Caron, Branko Ristic, Emmanuel Duflos, Philippe Vanheeghe
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