{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T17:56:12Z","timestamp":1773338172953,"version":"3.50.1"},"reference-count":16,"publisher":"Wiley","issue":"5","license":[{"start":{"date-parts":[[2020,2,5]],"date-time":"2020-02-05T00:00:00Z","timestamp":1580860800000},"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":["Biometrical J"],"published-print":{"date-parts":[[2020,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We propose a joint analysis of recurrent and nonrecurrent event data subject to general types of interval censoring. The proposed analysis allows for general semiparametric models, including the Box\u2013Cox transformation and inverse Box\u2013Cox transformation models for the recurrent and nonrecurrent events, respectively. A frailty variable is used to account for the potential dependence between the recurrent and nonrecurrent event processes, while leaving the distribution of the frailty unspecified. We apply the pseudolikelihood for interval\u2010censored recurrent event data, usually termed as panel count data, and the sufficient likelihood for interval\u2010censored nonrecurrent event data by conditioning on the sufficient statistic for the frailty and using the working assumption of independence over examination times. Large sample theory and a computation procedure for the proposed analysis are established. We illustrate the proposed methodology by a joint analysis of the numbers of occurrences of basal cell carcinoma over time and time to the first recurrence of squamous cell carcinoma based on a skin cancer dataset, as well as a joint analysis of the numbers of adverse events and time to premature withdrawal from study medication based on a scleroderma lung disease\u00a0dataset.<\/jats:p>","DOI":"10.1002\/bimj.201900134","type":"journal-article","created":{"date-parts":[[2020,2,5]],"date-time":"2020-02-05T10:19:15Z","timestamp":1580897955000},"page":"1164-1175","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Joint analysis of panel count and interval\u2010censored data using distribution\u2010free frailty analysis"],"prefix":"10.1002","volume":"62","author":[{"given":"Chi\u2010Chung","family":"Wen","sequence":"first","affiliation":[{"name":"Department of Mathematics Tamkang University New Taipei City Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4038-9439","authenticated-orcid":false,"given":"Yi\u2010Hau","family":"Chen","sequence":"additional","affiliation":[{"name":"Institute of Statistical Science Academia Sinica Taipei Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chi\u2010Hong","family":"Tseng","sequence":"additional","affiliation":[{"name":"Department of Medicine David Geffen School of Medicine, University of California al Los Angeles Los Angeles CA USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2020,2,5]]},"reference":[{"key":"e_1_2_11_2_1","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/88.3.703"},{"key":"e_1_2_11_3_1","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/87.1.89"},{"key":"e_1_2_11_4_1","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1032894452"},{"key":"e_1_2_11_5_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-6316-3_8"},{"key":"e_1_2_11_6_1","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/73.1.13"},{"key":"e_1_2_11_7_1","first-page":"1165","article-title":"Mixed case interval censored data with a cured subgroup","volume":"17","author":"Ma S","year":"2010","journal-title":"Statistica Sinica"},{"key":"e_1_2_11_8_1","first-page":"703","article-title":"Conditional scores and optimal scores in generalized linear measurement error models","volume":"74","author":"Stefanski L. A.","year":"1987","journal-title":"Biometrika"},{"key":"e_1_2_11_9_1","volume-title":"The statistical analysis of interval\u2010censored failure time data","author":"Sun J.","year":"2006"},{"key":"e_1_2_11_10_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-8715-9"},{"key":"e_1_2_11_11_1","doi-asserted-by":"publisher","DOI":"10.1016\/S2213-2600(16)30152-7"},{"key":"e_1_2_11_12_1","doi-asserted-by":"publisher","DOI":"10.1214\/009053607000000181"},{"key":"e_1_2_11_13_1","first-page":"1301","article-title":"Functional inference for interval\u2010censored data in proportional odds model with covariate measurement error","volume":"24","author":"Wen C. 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