{"paper":{"title":"Some new ideas in nonparametric estimation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Oleg Lepski","submitted_at":"2016-03-12T15:53:08Z","abstract_excerpt":"In the framework of an abstract statistical model we discuss how to use the solution of one estimation problem ({\\it Problem A}) in order to construct an estimator in another, completely different, {\\it Problem B}. As a solution of {\\it Problem A} we understand a data-driven selection from a given family of estimators $\\mathbf{A}(\\mH)=\\big\\{\\widehat{A}_\\mh, \\mh\\in\\mH\\big\\}$ and establishing for the selected estimator so-called oracle inequality. %parameterized by some se t$\\mH$. If $\\hat{\\mh}\\in\\mH$ is the selected parameter and $\\mathbf{B}(\\mH)=\\big\\{\\widehat{B}_\\mh, \\mh\\in\\mH\\big\\}$ is an es"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.03934","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}