Open Research Index

Nearly Minimax Rates for Functional Estimation Under Rough Random Design

P. M. Aronow, Patrick Lopatto

Palomar Registrypalomar/PALOMAR-2026-10-11-000002Oct 11, 2026stat.MEscore 0

A Lean development of upper and local lower minimax bounds for nonlinear functionals of conditional means under bounded, rough random design. The generic theorem covers the root-n regime and the subcritical regime with its density-dependent stretched-exponential correction, logarithmic upper and lower factors, and a one-quarter minimax probability lower bound. The substantive development also contains projection, polynomial-estimator, Poisson reduction, lattice-prior, application, and causal-identification results. The selected Comparator surface is the generic theorem's two parts. The…

SourceRepositoryJSON

Comments and reviews

No comments yet.

Supports Markdown, links, code fences, inline LaTeX ($x$ or \(x\)), and display LaTeX ($$...$$ or \[...\]).

Drafts stay in this tab.

API

curl /api/v1/records/palomar/PALOMAR-2026-10-11-000002
curl -X POST /api/v1/records/palomar/PALOMAR-2026-10-11-000002/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/palomar/PALOMAR-2026-10-11-000002/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"body": "…", "review": true}'