{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T12:37:22Z","timestamp":1740141442069,"version":"3.37.3"},"reference-count":21,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[2023,1,17]],"date-time":"2023-01-17T00:00:00Z","timestamp":1673913600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/pages\/standard-publication-reuse-rights"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023,8,14]]},"abstract":"<jats:title>Summary<\/jats:title>\n               <jats:p>We introduce a new notion of regularity of an estimator called median regularity. We prove that uniformly valid honest inference for a functional is possible if and only if there exists a median regular estimator of that functional. To the best of our knowledge, such a notion of regularity that is necessary for uniformly valid inference is unavailable in the literature.<\/jats:p>","DOI":"10.1093\/biomet\/asad002","type":"journal-article","created":{"date-parts":[[2023,1,16]],"date-time":"2023-01-16T20:39:09Z","timestamp":1673901549000},"page":"831-838","source":"Crossref","is-referenced-by-count":1,"title":["Median regularity and honest inference"],"prefix":"10.1093","volume":"110","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4459-5352","authenticated-orcid":false,"given":"Arun Kumar","family":"Kuchibhotla","sequence":"first","affiliation":[{"name":"Department of Statistics & Data Science, Carnegie Mellon University , 5000 Forbes Avenue, Pittsburgh, Pennsylvania 15213, U.S.A"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sivaraman","family":"Balakrishnan","sequence":"additional","affiliation":[{"name":"Department of Statistics & Data Science, Carnegie Mellon University , 5000 Forbes Avenue, Pittsburgh, Pennsylvania 15213, U.S.A"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Larry","family":"Wasserman","sequence":"additional","affiliation":[{"name":"Department of Statistics & Data Science, Carnegie Mellon University , 5000 Forbes Avenue, Pittsburgh, Pennsylvania 15213, U.S.A"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2023,1,17]]},"reference":[{"key":"2023081420144520300_B1","doi-asserted-by":"crossref","first-page":"426","DOI":"10.1017\/S0266466609100051","article-title":"Asymptotic size and a problem with subsampling and with the $m$ out of $n$ bootstrap","volume":"26","author":"Andrews,","year":"2010","journal-title":"Economet. 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