Journal of Statistical Planning and Inference, 2009
In this paper, we introduce a generalization of the Dirichlet distribution on symmetric matrices ... more In this paper, we introduce a generalization of the Dirichlet distribution on symmetric matrices which represents the multivariate version of the Connor and Mosimann generalized real Dirichlet distribution. We establish some properties concerning this generalized distribution. We also extend to the matrix Dirichlet distribution a remarkable characterization established in the real case by Darroch and Ratcliff.
... We acknowledge the financial support of ADEME (French Agency for Environment and Energy Manag... more ... We acknowledge the financial support of ADEME (French Agency for Environment and Energy Management) and CNRS-ECODEV program and would like to thank Marco Lammer and Stefanie Spiering of ZSW (Zentrum ftir Sonnenergie ... [2] Thouin L., Massaccesi S., Sanchez S ...
S. Ben Farah and K. Mokni. ... Let 1£ p,q £ +¥, a > 2, and b = a/(a-1). Then, for any measurab... more S. Ben Farah and K. Mokni. ... Let 1£ p,q £ +¥, a > 2, and b = a/(a-1). Then, for any measurable function f on R, the conditions e a|x| a f Î L p (R) and e b|l| b f Î L q (R) imply that f=0 if and only if (aa) 1/a (bb) 1/b > (sinp/2 (b-1)) 1/b . We extend this result to the Euclidian space R n , the ...
ABSTRACT We consider the inverse problem of determining dipole sources, by using boundary measure... more ABSTRACT We consider the inverse problem of determining dipole sources, by using boundary measurements. A local Lipshitz stability is established and a cost function transforming our inverse problem into an optimization one is proposed. This cost function involves the solutions computed from both the prescribed and measured data through their values inside the domain and not only on the boundary. An application to inverse EEG problem for which numerical experiments are performed for three concentric spheres representing the scalp, skull and brain as the model of the head, is proposed.
The CIS by electrodeposition (CISEL) project between Electricité de France (EDF), Centre National... more The CIS by electrodeposition (CISEL) project between Electricité de France (EDF), Centre National de la Recherche Scientifique (CNRS)/Ecole Nationale Supérieure de Chimie de Paris (ENSCP) and Saint-Gobain Recherche (SGR) aims at developing a low-cost ...
Journal of Statistical Planning and Inference, 2009
In this paper, we introduce a generalization of the Dirichlet distribution on symmetric matrices ... more In this paper, we introduce a generalization of the Dirichlet distribution on symmetric matrices which represents the multivariate version of the Connor and Mosimann generalized real Dirichlet distribution. We establish some properties concerning this generalized distribution. We also extend to the matrix Dirichlet distribution a remarkable characterization established in the real case by Darroch and Ratcliff.
... We acknowledge the financial support of ADEME (French Agency for Environment and Energy Manag... more ... We acknowledge the financial support of ADEME (French Agency for Environment and Energy Management) and CNRS-ECODEV program and would like to thank Marco Lammer and Stefanie Spiering of ZSW (Zentrum ftir Sonnenergie ... [2] Thouin L., Massaccesi S., Sanchez S ...
S. Ben Farah and K. Mokni. ... Let 1£ p,q £ +¥, a > 2, and b = a/(a-1). Then, for any measurab... more S. Ben Farah and K. Mokni. ... Let 1£ p,q £ +¥, a > 2, and b = a/(a-1). Then, for any measurable function f on R, the conditions e a|x| a f Î L p (R) and e b|l| b f Î L q (R) imply that f=0 if and only if (aa) 1/a (bb) 1/b > (sinp/2 (b-1)) 1/b . We extend this result to the Euclidian space R n , the ...
ABSTRACT We consider the inverse problem of determining dipole sources, by using boundary measure... more ABSTRACT We consider the inverse problem of determining dipole sources, by using boundary measurements. A local Lipshitz stability is established and a cost function transforming our inverse problem into an optimization one is proposed. This cost function involves the solutions computed from both the prescribed and measured data through their values inside the domain and not only on the boundary. An application to inverse EEG problem for which numerical experiments are performed for three concentric spheres representing the scalp, skull and brain as the model of the head, is proposed.
The CIS by electrodeposition (CISEL) project between Electricité de France (EDF), Centre National... more The CIS by electrodeposition (CISEL) project between Electricité de France (EDF), Centre National de la Recherche Scientifique (CNRS)/Ecole Nationale Supérieure de Chimie de Paris (ENSCP) and Saint-Gobain Recherche (SGR) aims at developing a low-cost ...
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