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In order to accommodate the within-group correlation, we apply the block empirical likelihood procedure to longitudinal single-index varying-coefficient model, and prove a nonparametric version of Wilks\u2019 theorem which can be used to construct the block empirical likelihood confidence region with asymptotically correct coverage probability for the parametric component. In comparison with normal approximations, the proposed method does not require a consistent estimator for the asymptotic covariance matrix, making it easier to conduct inference for the model's parametric component. Simulations demonstrate how the proposed method works.<\/jats:p>","DOI":"10.1155\/2013\/792196","type":"journal-article","created":{"date-parts":[[2013,10,3]],"date-time":"2013-10-03T17:03:26Z","timestamp":1380819806000},"page":"1-10","source":"Crossref","is-referenced-by-count":0,"title":["Block Empirical Likelihood for Longitudinal Single-Index Varying-Coefficient Model"],"prefix":"10.1155","volume":"2013","author":[{"given":"Yunquan","family":"Song","sequence":"first","affiliation":[{"name":"Shandong University Qilu Securities Institute for Financial Studies and School of Mathematics, Shandong University, Jinan 250100, China"},{"name":"College of Science, China University of Petroleum, Qingdao 266580, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ling","family":"Jian","sequence":"additional","affiliation":[{"name":"College of Science, China University of Petroleum, Qingdao 266580, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1803-5394","authenticated-orcid":true,"given":"Lu","family":"Lin","sequence":"additional","affiliation":[{"name":"Shandong University Qilu Securities Institute for Financial Studies and School of Mathematics, Shandong University, Jinan 250100, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"doi-asserted-by":"publisher","key":"14","DOI":"10.1016\/j.jkss.2009.12.002"},{"doi-asserted-by":"publisher","key":"10","DOI":"10.1155\/2012\/869792"},{"doi-asserted-by":"publisher","key":"15","DOI":"10.1155\/2012\/949654"},{"doi-asserted-by":"publisher","key":"11","DOI":"10.1155\/2012\/248658"},{"doi-asserted-by":"publisher","key":"1","DOI":"10.1016\/j.jmva.2008.04.004"},{"doi-asserted-by":"publisher","key":"5","DOI":"10.1198\/016214501753168280"},{"doi-asserted-by":"publisher","key":"12","DOI":"10.1093\/biomet\/89.1.111"},{"doi-asserted-by":"publisher","key":"19","DOI":"10.1111\/j.1541-0420.2005.00490.x"},{"doi-asserted-by":"publisher","key":"27","DOI":"10.3150\/11-BEJ365"},{"doi-asserted-by":"publisher","key":"16","DOI":"10.1093\/biomet\/75.2.237"},{"doi-asserted-by":"publisher","key":"17","DOI":"10.1214\/aos\/1176347494"},{"doi-asserted-by":"publisher","key":"22","DOI":"10.1016\/S0167-7152(98)00230-2"},{"doi-asserted-by":"publisher","key":"6","DOI":"10.1093\/biomet\/87.4.946"},{"doi-asserted-by":"publisher","key":"21","DOI":"10.1006\/jmva.1999.1866"},{"doi-asserted-by":"publisher","key":"24","DOI":"10.1198\/016214507000000293"},{"doi-asserted-by":"publisher","key":"25","DOI":"10.1093\/biomet\/asm066"},{"doi-asserted-by":"publisher","key":"26","DOI":"10.1016\/j.jmva.2005.09.004"},{"year":"2001","key":"18"},{"doi-asserted-by":"publisher","key":"13","DOI":"10.1007\/s11425-011-4336-0"},{"doi-asserted-by":"publisher","key":"9","DOI":"10.1007\/s11464-013-0284-z"},{"doi-asserted-by":"publisher","key":"29","DOI":"10.1002\/cjs.5550340107"},{"volume":"66","year":"1996","series-title":"Monographs on Statistics and Applied Probability","key":"7"},{"doi-asserted-by":"publisher","key":"28","DOI":"10.1016\/j.spl.2005.08.029"},{"issue":"374","key":"20","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1080\/01621459.1981.10477633","volume":"76","year":"1981","journal-title":"Journal of the American Statistical Association"},{"doi-asserted-by":"publisher","key":"23","DOI":"10.1093\/biomet\/89.2.345"},{"doi-asserted-by":"publisher","key":"3","DOI":"10.2307\/2669476"},{"doi-asserted-by":"publisher","key":"4","DOI":"10.2307\/2965697"},{"doi-asserted-by":"publisher","key":"30","DOI":"10.2307\/2670121"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/792196.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/792196.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/792196.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,8]],"date-time":"2020-05-08T19:21:50Z","timestamp":1588965710000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2013\/792196\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":28,"alternative-id":["792196","792196"],"URL":"https:\/\/doi.org\/10.1155\/2013\/792196","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2013]]}}}