DocumentCode
1495282
Title
Decompounding on Compact Lie Groups
Author
Said, Salem ; Lageman, Christian ; Le Bihan, Nicolas ; Manton, Jonathan H.
Author_Institution
Dept. of Images & Signal, GIPSA-Lab., Grenoble, France
Volume
56
Issue
6
fYear
2010
fDate
6/1/2010 12:00:00 AM
Firstpage
2766
Lastpage
2777
Abstract
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.
Keywords
Lie groups; harmonic analysis; inverse problems; stochastic processes; characteristic function method; compact Lie groups; compound Poisson process; multiple scattering; noncommutative harmonic analysis; nonparametric estimation problem; physical inverse problem; Australia Council; Harmonic analysis; Inverse problems; Mathematics; Queueing analysis; Random variables; Scattering; State estimation; Statistics; Traffic control; Compact Lie groups; compound Poisson processes; multiple scattering; noncommutative harmonic analysis; nonparametric estimation;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2010.2046216
Filename
5466537
Link To Document