{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,20]],"date-time":"2026-09-20T20:09:16Z","timestamp":1789934956367,"version":"4.0.1"},"reference-count":62,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2009,10,2]],"date-time":"2009-10-02T00:00:00Z","timestamp":1254441600000},"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":[[2010,4]]},"abstract":"<jats:p>\n                    This paper considers inference based on a test statistic that has a limit distribution that is discontinuous in a parameter. The paper shows that subsampling and\n                    <jats:italic>m<\/jats:italic>\n                    out of\n                    <jats:italic>n<\/jats:italic>\n                    bootstrap tests based on such a test statistic often have asymptotic size\u2014defined as the limit of exact size\u2014that is greater than the nominal level of the tests. This is due to a lack of uniformity in the pointwise asymptotics. We determine precisely the asymptotic size of such tests under a general set of high-level conditions that are relatively easy to verify. The results show that the asymptotic size of subsampling and\n                    <jats:italic>m<\/jats:italic>\n                    out of\n                    <jats:italic>n<\/jats:italic>\n                    bootstrap tests is distorted in some examples but not in others.\n                  <\/jats:p>","DOI":"10.1017\/s0266466609100051","type":"journal-article","created":{"date-parts":[[2009,10,2]],"date-time":"2009-10-02T06:56:40Z","timestamp":1254466600000},"page":"426-468","source":"Crossref","is-referenced-by-count":122,"title":["ASYMPTOTIC SIZE AND A PROBLEM WITH SUBSAMPLING AND WITH THE\n                    <i>m<\/i>\n                    OUT OF\n                    <i>n<\/i>\n                    BOOTSTRAP"],"prefix":"10.1017","volume":"26","author":[{"given":"Donald W.K.","family":"Andrews","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Patrik","family":"Guggenberger","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2009,10,2]]},"reference":[{"key":"S0266466609100051_ref62","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176347759"},{"key":"S0266466609100051_ref25","unstructured":"Guggenberger P . 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