{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,10]],"date-time":"2026-10-10T14:04:42Z","timestamp":1791641082236,"version":"4.3.4"},"reference-count":0,"publisher":"Oxford University Press (OUP)","issue":"4","license":[{"start":{"date-parts":[[2000,11,1]],"date-time":"2000-11-01T00:00:00Z","timestamp":973036800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2000,11,1]]},"abstract":"<jats:title>Summary<\/jats:title>\n                  <jats:p>The counting process with the Cox-type intensity function has been commonly used to analyse recurrent event data. This model essentially assumes that the underlying counting process is a time-transformed Poisson process and that the covariates have multiplicative effects on the mean and rate function of the counting process. Recently, Pepe and Cai, and Lawless and co-workers have proposed semiparametric procedures for making inferences about the mean and rate function of the counting process without the Poisson-type assumption. In this paper, we provide a rigorous justification of such robust procedures through modern empirical process theory. Furthermore, we present an approach to constructing simultaneous confidence bands for the mean function and describe a class of graphical and numerical techniques for checking the adequacy of the fitted mean\u2013rate model. The advantages of the robust procedures are demonstrated through simulation studies. An illustration with multiple-infection data taken from a clinical study on chronic granulomatous disease is also provided.<\/jats:p>","DOI":"10.1111\/1467-9868.00259","type":"journal-article","created":{"date-parts":[[2003,3,12]],"date-time":"2003-03-12T14:35:58Z","timestamp":1047479758000},"page":"711-730","source":"Crossref","is-referenced-by-count":835,"title":["Semiparametric Regression for the Mean and Rate Functions of Recurrent Events"],"prefix":"10.1093","volume":"62","author":[{"given":"D. Y.","family":"Lin","sequence":"first","affiliation":[{"name":"University of Washington , Seattle , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"L. J.","family":"Wei","sequence":"additional","affiliation":[{"name":"Harvard University , Boston , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"I.","family":"Yang","sequence":"additional","affiliation":[{"name":"Schering-Plough Research Institute , Kenilworth , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Z.","family":"Ying","sequence":"additional","affiliation":[{"name":"Rutgers University , Piscataway , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2002,1,6]]},"container-title":["Journal of the Royal Statistical Society Series B: Statistical Methodology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1111%2F1467-9868.00259","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/62\/4\/711\/49589776\/jrsssb_62_4_711.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/62\/4\/711\/49589776\/jrsssb_62_4_711.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,22]],"date-time":"2023-03-22T03:00:01Z","timestamp":1679454001000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/jrsssb\/article\/62\/4\/711\/7083264"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,11,1]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2002,1,6]]},"published-print":{"date-parts":[[2000,11,1]]}},"URL":"https:\/\/doi.org\/10.1111\/1467-9868.00259","relation":{},"ISSN":["1369-7412","1467-9868"],"issn-type":[{"value":"1369-7412","type":"print"},{"value":"1467-9868","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[2000,11]]},"published":{"date-parts":[[2000,11,1]]}}}