English

Nonparametric inference under shape constraints: past, present and future

Statistics Theory 2025-10-01 v1 Computation Methodology Machine Learning Statistics Theory

Abstract

We survey the field of nonparametric inference under shape constraints, providing a historical overview and a perspective on its current state. An outlook and some open problems offer thoughts on future directions.

Keywords

Cite

@article{arxiv.2509.26040,
  title  = {Nonparametric inference under shape constraints: past, present and future},
  author = {Richard J. Samworth},
  journal= {arXiv preprint arXiv:2509.26040},
  year   = {2025}
}

Comments

20 pages, 6 figures

R2 v1 2026-07-01T06:07:16.572Z