{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,22]],"date-time":"2026-09-22T03:06:47Z","timestamp":1790046407906,"version":"4.0.1"},"reference-count":17,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2026,1,30]],"date-time":"2026-01-30T00:00:00Z","timestamp":1769731200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"},{"start":{"date-parts":[[2026,1,30]],"date-time":"2026-01-30T00:00:00Z","timestamp":1769731200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12371277"],"award-info":[{"award-number":["12371277"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12231017"],"award-info":[{"award-number":["12231017"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000038","name":"Natural Sciences and Engineering Research Council of Canada","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000038","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Pharmaceutical Statistics"],"published-print":{"date-parts":[[2026,3]]},"abstract":"<jats:title>ABSTRACT<\/jats:title>\n                  <jats:p>Motivated by the analysis of data from a clinical trial on patients with early breast cancer, we propose in this paper a new joint model that uses a Tobit partly linear mixed model for longitudinal measurements which are bounded in an interval and have a nonlinear relationship with the observation times and a semiparametric mixture cure model that incorporates a B\u2010spline baseline hazard for survival times with cure proportion. A procedure is developed for estimating parameters in the proposed model using the partial likelihood and Laplace approximation. Additionally, a method of random weighting is proposed to compute the variances of the parameter estimators. The performance of the proposed model and the inference procedures is evaluated through simulation studies and data from the clinical trial that motivated this study.<\/jats:p>","DOI":"10.1002\/pst.70072","type":"journal-article","created":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T05:58:23Z","timestamp":1769839103000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Tobit Partly Linear Mixed and Mixture Cure Model for the Joint Analysis of Interval\u2010Bounded Longitudinal Measurements and Survival Times With Cure Proportion"],"prefix":"10.1002","volume":"25","author":[{"given":"Zhanfeng","family":"Wang","sequence":"first","affiliation":[{"name":"Department of Statistics and Finance Management School, University of Science and Technology of China  Hefei China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zerui","family":"Shen","sequence":"additional","affiliation":[{"name":"Department of Statistics and Finance Management School, University of Science and Technology of China  Hefei China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ruixing","family":"Ming","sequence":"additional","affiliation":[{"name":"School of Statistics and Mathematics, Zhejiang Gongshang University  Hangzhou China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4842-2184","authenticated-orcid":false,"given":"Dongsheng","family":"Tu","sequence":"additional","affiliation":[{"name":"Canadian Cancer Trials Group, Queen\u2019s University  Kingston Ontario Canada"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2026,1,30]]},"reference":[{"key":"e_1_2_11_2_1","doi-asserted-by":"publisher","DOI":"10.1201\/9781315374871"},{"key":"e_1_2_11_3_1","volume-title":"Joint Models for Longitudinal and Time\u2010to\u2010Event Data: With Applications in R","author":"Rizopoulos 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