• Mathematics
  • Published 2011

Medians of probability measures in Riemannian manifolds and applications to radar target detection

@inproceedings{Yang2011MediansOP,
  title={Medians of probability measures in Riemannian manifolds and applications to radar target detection},
  author={Le Yang},
  year={2011}
}
In this thesis, we study the medians of a probability measure in a Riemannian manifold. Firstly, the existence and uniqueness of local medians are proved. In order to compute medians in practical cases, we also propose a subgradient algorithm and prove its convergence. After that, Frechet medians are considered. We prove their statistical consistency and give some quantitative estimations of their robustness with the aid of curvatures. Moreover, we show that, in compact Riemannian manifolds… CONTINUE READING

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