Abstract | ||
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Noncommutative harmonic analysis is used to solve a nonparametric estimation problem stated in terms of compound Poisson processes on compact Lie groups. This problem of decompounding is a generalization of a similar classical problem. The proposed solution is based on a characteristic function method. The treated problem is important to recent models of the physical inverse problem of multiple scattering. |
Year | DOI | Venue |
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2010 | 10.1109/TIT.2010.2046216 | Clinical Orthopaedics and Related Research |
Keywords | DocType | Volume |
stochastic processes,noncommutative harmonic analysis,compact lie groups,similar classical problem,compound poisson process,nonparametric estimation,compound poisson,inverse problems,lie groups,compound poisson processes,compact lie group,nonparametric estimation problem,recent model,physical inverse problem,harmonic analysis,multiple scattering,characteristic function method,proposed solution,random variables,trajectory,statistics,noise,information theory,characteristic function,scattering,inverse problem,estimation,mathematics | Journal | 56 |
Issue | ISSN | Citations |
6 | 0018-9448 | 5 |
PageRank | References | Authors |
0.66 | 2 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Salem Said | 1 | 59 | 12.54 |
Christian Lageman | 2 | 64 | 6.03 |
Nicolas Le Bihan | 3 | 254 | 23.35 |
Jonathan H. Manton | 4 | 843 | 71.93 |