{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,23]],"date-time":"2026-09-23T08:11:02Z","timestamp":1790151062934,"version":"4.0.1"},"reference-count":52,"publisher":"Wiley","issue":"20-22","license":[{"start":{"date-parts":[[2026,8,26]],"date-time":"2026-08-26T00:00:00Z","timestamp":1787702400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"},{"start":{"date-parts":[[2026,8,26]],"date-time":"2026-08-26T00:00:00Z","timestamp":1787702400000},"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":["12001371"],"award-info":[{"award-number":["12001371"]}],"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":["12571299"],"award-info":[{"award-number":["12571299"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Statistics in Medicine"],"published-print":{"date-parts":[[2026,9]]},"abstract":"<jats:title>ABSTRACT<\/jats:title>\n                  <jats:p>Recurrent event data arise frequently in many clinical and observational studies. In this article, we propose a Cox\u2013Aalen rate model to analyze recurrent event data with a terminal event, where the covariate effects are additive, time\u2010varying, and dependent on a latent variable nonparametrically. The association between recurrent and terminal events is fully nonparametric, and a proportional hazards model is specified for the terminal event. To estimate the model parameters, an estimating equation approach is developed and kernel\u2010smoothing techniques are employed to estimate the conditional expectations in the estimating equation. The asymptotic properties of the proposed estimators are derived, and the finite sample performance is evaluated through simulation studies. An application to medical cost data for chronic heart failure patients is presented.<\/jats:p>","DOI":"10.1002\/sim.70726","type":"journal-article","created":{"date-parts":[[2026,8,26]],"date-time":"2026-08-26T14:34:42Z","timestamp":1787754882000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The Cox\u2013Aalen Rate Model for Recurrent Events With an Informative Terminal Event"],"prefix":"10.1002","volume":"45","author":[{"given":"Mingzu","family":"Yue","sequence":"first","affiliation":[{"name":"SKLMS, Academy of Mathematics and Systems Science Chinese Academy of Sciences  Beijing China"},{"name":"School of Mathematical Sciences University of Chinese Academy of Sciences  Beijing China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3815-1221","authenticated-orcid":false,"given":"Xin","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Statistics and Mathematics Shanghai Lixin University of Accounting and Finance  Shanghai China"},{"name":"Interdisciplinary Research Institute of Data Science Shanghai Lixin University of Accounting and Finance  Shanghai China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jiaqi","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics South\u2010Central Minzu University  Wuhan China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8816-942X","authenticated-orcid":false,"given":"Liuquan","family":"Sun","sequence":"additional","affiliation":[{"name":"SKLMS, Academy of Mathematics and Systems Science Chinese Academy of Sciences  Beijing China"},{"name":"School of Mathematical Sciences University of Chinese Academy of Sciences  Beijing China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2026,8,26]]},"reference":[{"key":"e_1_2_10_2_1","volume-title":"The Statistical Analysis of Recurrent Events","author":"Cook R. 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