{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,6]],"date-time":"2026-10-06T15:41:03Z","timestamp":1791301263320,"version":"4.1.0"},"reference-count":0,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[1998,6,1]],"date-time":"1998-06-01T00:00:00Z","timestamp":896659200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Econom. Theory"],"published-print":{"date-parts":[[1998,6]]},"abstract":"<jats:p>The nonparametric and the nuisance parameter approaches \nto consistently testing statistical models are both attempts \nto estimate topological measures of distance between a \nparametric and a nonparametric fit, and neither dominates \nin experiments. This topological unification allows us \nto greatly extend the nuisance parameter approach. How \nand why the nuisance parameter approach works and how it \ncan be extended bear closely on recent developments in \nartificial neural networks. Statistical content is provided \nby viewing specification tests with nuisance parameters \nas tests of hypotheses about Banach-valued random elements \nand applying the Banach central limit theorem and law of \niterated logarithm, leading to simple procedures that can \nbe used as a guide to when computationally more elaborate \nprocedures may be warranted.<\/jats:p>","DOI":"10.1017\/s0266466698143013","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T13:45:46Z","timestamp":1027777546000},"page":"295-325","source":"Crossref","is-referenced-by-count":244,"title":["CONSISTENT SPECIFICATION TESTING WITH NUISANCE PARAMETERS \nPRESENT ONLY UNDER THE ALTERNATIVE"],"prefix":"10.1017","volume":"14","author":[{"given":"Maxwell B.","family":"Stinchcombe","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Halbert","family":"White","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[1998,6,1]]},"container-title":["Econometric Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0266466698143013","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,8]],"date-time":"2019-04-08T19:46:58Z","timestamp":1554752818000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0266466698143013\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,6]]},"references-count":0,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1998,6]]}},"alternative-id":["S0266466698143013"],"URL":"https:\/\/doi.org\/10.1017\/s0266466698143013","relation":{},"ISSN":["0266-4666","1469-4360"],"issn-type":[{"value":"0266-4666","type":"print"},{"value":"1469-4360","type":"electronic"}],"subject":[],"published":{"date-parts":[[1998,6]]}}}