{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,16]],"date-time":"2026-10-16T00:56:03Z","timestamp":1792112163448,"version":"4.4.0"},"reference-count":33,"publisher":"The Econometric Society","issue":"5","funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001732","name":"Danmarks Grundforskningsfond","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001732","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["ECTA"],"abstract":"<jats:p>This paper proposes a valid bootstrap\u2010based distributional approximation for \n            <jats:italic>M<\/jats:italic>\u2010estimators exhibiting a Chernoff (1964)\u2010type limiting distribution. For estimators of this kind, the standard nonparametric bootstrap is inconsistent. The method proposed herein is based on the nonparametric bootstrap, but restores consistency by altering the shape of the criterion function defining the estimator whose distribution we seek to approximate. This modification leads to a generic and easy\u2010to\u2010implement resampling method for inference that is conceptually distinct from other available distributional approximations. We illustrate the applicability of our results with four examples in econometrics and machine learning.\n          <\/jats:p>","DOI":"10.3982\/ecta17950","type":"journal-article","created":{"date-parts":[[2020,9,21]],"date-time":"2020-09-21T12:02:27Z","timestamp":1600689747000},"page":"2203-2219","source":"Crossref","is-referenced-by-count":28,"title":["Bootstrap\u2010Based Inference for Cube Root Asymptotics"],"prefix":"10.3982","volume":"88","author":[{"given":"Matias D.","family":"Cattaneo","sequence":"first","affiliation":[{"name":"Department of Operations Research and Financial Engineering, Princeton University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Michael","family":"Jansson","sequence":"additional","affiliation":[{"name":"Department of Economics, University of California at Berkeley"},{"name":"CREATES"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kenichi","family":"Nagasawa","sequence":"additional","affiliation":[{"name":"Department of Economics, University of Warwick"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"2359","published-online":{"date-parts":[[2020]]},"reference":[{"issue":"4","key":"ecta200210-bib-0001","doi-asserted-by":"crossref","first-page":"1175","DOI":"10.1111\/j.1468-0262.2005.00613.x","volume":"73","author":"Abrevaya","year":"2005","journal-title":"Econometrica"},{"issue":"1","key":"ecta200210-bib-0002","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1111\/1468-0262.00271","volume":"78","author":"Andrews","year":"2010","journal-title":"Econometrica"},{"issue":"516","key":"ecta200210-bib-0003","doi-asserted-by":"crossref","first-page":"1634","DOI":"10.1080\/01621459.2015.1100622","volume":"111","author":"Bagchi","year":"2016","journal-title":"Journal of the American Statistical Association"},{"issue":"2","key":"ecta200210-bib-0004","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1007\/BF02607055","volume":"15","author":"Bickel","year":"2006","journal-title":"Test"},{"issue":"1","key":"ecta200210-bib-0005","first-page":"1","volume":"7","author":"Bickel","year":"1997","journal-title":"Statistica Sinica"},{"key":"ecta200210-bib-0006","doi-asserted-by":"crossref","unstructured":"Cattaneo, M. 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