{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,11,4]],"date-time":"2026-11-04T19:53:29Z","timestamp":1793822009841,"version":"4.6.1"},"reference-count":26,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2012,9,19]],"date-time":"2012-09-19T00:00:00Z","timestamp":1348012800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Scandinavian J Statistics"],"published-print":{"date-parts":[[2013,6]]},"abstract":"<jats:p><jats:bold>Abstract.\u2002<\/jats:bold> Many statistical models arising in applications contain non\u2010 and weakly\u2010identified parameters. Due to identifiability concerns, tests concerning the parameters of interest may not be able to use conventional theories and it may not be clear how to assess statistical significance. This paper extends the literature by developing a testing procedure that can be used to evaluate hypotheses under non\u2010 and weakly\u2010identifiable semiparametric models. The test statistic is constructed from a general estimating function of a finite dimensional parameter model representing the population characteristics of interest, but other characteristics which may be described by infinite dimensional parameters, and viewed as nuisance, are left completely unspecified. We derive the limiting distribution of this statistic and propose theoretically justified resampling approaches to approximate its asymptotic distribution. The methodology's practical utility is illustrated in simulations and an analysis of quality\u2010of\u2010life outcomes from a longitudinal study on breast cancer.<\/jats:p>","DOI":"10.1111\/j.1467-9469.2012.00811.x","type":"journal-article","created":{"date-parts":[[2012,9,19]],"date-time":"2012-09-19T04:40:53Z","timestamp":1348029653000},"page":"256-273","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Evaluating Statistical Hypotheses Using Weakly\u2010Identifiable Estimating Functions"],"prefix":"10.1111","volume":"40","author":[{"given":"GUANQUN","family":"CAO","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"DAVID","family":"TODEM","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"LIJIAN","family":"YANG","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"JASON P.","family":"FINE","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2012,9,19]]},"reference":[{"key":"e_1_2_6_2_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.2517-6161.1993.tb01475.x"},{"key":"e_1_2_6_3_1","doi-asserted-by":"publisher","DOI":"10.1111\/1467-985X.00123"},{"key":"e_1_2_6_4_1","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9868.00055"},{"key":"e_1_2_6_5_1","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1017938921"},{"key":"e_1_2_6_6_1","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/64.2.247"},{"key":"e_1_2_6_7_1","first-page":"33","article-title":"Hypothesis testing when a nuisance parameter is present only under the alternative","volume":"74","author":"Davies R. B.","year":"1987","journal-title":"Biometrika"},{"key":"e_1_2_6_8_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4899-4541-9"},{"key":"e_1_2_6_9_1","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176345526"},{"key":"e_1_2_6_10_1","doi-asserted-by":"publisher","DOI":"10.2307\/2171789"},{"key":"e_1_2_6_11_1","first-page":"221","volume-title":"Proceedings of the fifth Berkeley Symposium in mathematical Statistics and Probability","author":"Huber P. J.","year":"1967"},{"key":"e_1_2_6_12_1","doi-asserted-by":"publisher","DOI":"10.1016\/0959-8049(92)90399-M"},{"key":"e_1_2_6_13_1","doi-asserted-by":"publisher","DOI":"10.1177\/1471082X0100100104"},{"key":"e_1_2_6_14_1","doi-asserted-by":"publisher","DOI":"10.1002\/9781119013563"},{"key":"e_1_2_6_15_1","doi-asserted-by":"publisher","DOI":"10.1214\/009053604000000166"},{"key":"e_1_2_6_16_1","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/81.2.341"},{"key":"e_1_2_6_17_1","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/92.3.507"},{"key":"e_1_2_6_18_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.0006-341X.2001.00103.x"},{"key":"e_1_2_6_19_1","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1999.10473862"},{"key":"e_1_2_6_20_1","doi-asserted-by":"publisher","DOI":"10.1214\/08-AOS643"},{"key":"e_1_2_6_21_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1541-0420.2009.01290.x"},{"key":"e_1_2_6_22_1","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9876.00119"},{"key":"e_1_2_6_23_1","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/85.3.661"},{"key":"e_1_2_6_24_1","first-page":"115","volume-title":"Preservation theorems for Glivenko\u2010Cantelli and uniform Glivenko\u2010Cantelli theorems. High dimensional probability II","author":"van der Vaart A. W.","year":"2000"},{"key":"e_1_2_6_25_1","volume-title":"Weak convergence and empirical processes","author":"van der Vaart A. W.","year":"2000"},{"key":"e_1_2_6_26_1","doi-asserted-by":"publisher","DOI":"10.2307\/1912526"},{"key":"e_1_2_6_27_1","doi-asserted-by":"publisher","DOI":"10.1214\/009053606000000380"}],"container-title":["Scandinavian Journal of Statistics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1111%2Fj.1467-9469.2012.00811.x","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1111\/j.1467-9469.2012.00811.x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,28]],"date-time":"2023-10-28T16:59:50Z","timestamp":1698512390000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1111\/j.1467-9469.2012.00811.x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,9,19]]},"references-count":26,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2013,6]]}},"alternative-id":["10.1111\/j.1467-9469.2012.00811.x"],"URL":"https:\/\/doi.org\/10.1111\/j.1467-9469.2012.00811.x","archive":["Portico"],"relation":{},"ISSN":["0303-6898","1467-9469"],"issn-type":[{"value":"0303-6898","type":"print"},{"value":"1467-9469","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,9,19]]},"assertion":[{"value":"2012-09-19","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}