English

Estimation via length-constrained generalized empirical principal curves under small noise

Statistics Theory 2019-11-18 v1 Statistics Theory

Abstract

In this paper, we propose a method to build a sequence of generalized empirical principal curves, with selected length, so that, in Hausdor distance, the images of the estimating principal curves converge in probability to the image of g.

Keywords

Cite

@article{arxiv.1911.06728,
  title  = {Estimation via length-constrained generalized empirical principal curves under small noise},
  author = {Sylvain Delattre and Aurélie Fischer},
  journal= {arXiv preprint arXiv:1911.06728},
  year   = {2019}
}