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Moreover, by appealing to strong approximations, our framework accommodates nonparametric regression models as well as distributional\/density\u2010related and structural settings. Since the test entails a tuning parameter (due to the nonstandard nature of the problem), we propose a data\u2010driven choice and prove its validity. Monte Carlo simulations confirm that our test works well.<\/jats:p>","DOI":"10.3982\/ecta17764","type":"journal-article","created":{"date-parts":[[2021,9,16]],"date-time":"2021-09-16T06:55:56Z","timestamp":1631775356000},"page":"2439-2458","source":"Crossref","is-referenced-by-count":9,"title":["A Projection Framework for Testing Shape Restrictions That Form Convex Cones"],"prefix":"10.3982","volume":"89","author":[{"given":"Zheng","family":"Fang","sequence":"first","affiliation":[{"name":"Department of Economics, Texas A&M University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Juwon","family":"Seo","sequence":"additional","affiliation":[{"name":"Department of Economics, National University of Singapore"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"2359","published-online":{"date-parts":[[2021]]},"reference":[{"key":"ecta200318-bib-0001","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1198\/073500104000000316","volume":"23","author":"Abrevaya","year":"2005","journal-title":"Journal of Business & Economic Statistics"},{"key":"ecta200318-bib-0002","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1016\/j.jet.2017.08.007","volume":"172","author":"Aguiar","year":"2017","journal-title":"Journal of Economic Theory"},{"key":"ecta200318-bib-0003","volume-title":"Infinite Dimensional Analysis: A Hitchhiker's Guide","author":"Aliprantis","year":"2006","edition":"Third"},{"key":"ecta200318-bib-0004","unstructured":"Andrews, D. 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