English

Decompounding on compact Lie groups

Information Theory 2012-02-06 v1 math.IT Statistics Theory Statistics Theory

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 char- acteristic function method. The treated problem is important to recent models of the physical inverse problem of multiple scattering.

Keywords

Cite

@article{arxiv.0907.2601,
  title  = {Decompounding on compact Lie groups},
  author = {Salem Said and Christian Lageman and Nicolas Le Bihan and Jonathan H. Manton},
  journal= {arXiv preprint arXiv:0907.2601},
  year   = {2012}
}

Comments

26 pages, 3 figures, 25 references

R2 v1 2026-06-21T13:25:13.417Z