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Almost all existing statistical methods are developed for their separate analysis. In this paper, we investigate a more general situation where a recurrent event process and an interval\u2010censored failure event occur together. To intuitively and clearly explain the relationship between the recurrent current process and failure event, we propose a failure time\u2010dependent mean model through a completely unspecified link function. To overcome the challenges arising from the blending of nonparametric components and parametric regression coefficients, we develop a two\u2010stage conditional expected likelihood\u2010based estimation procedure. We establish the consistency, the convergence rate and the asymptotic normality of the proposed two\u2010stage estimator. Furthermore, we construct a class of two\u2010sample tests for comparison of mean functions from different groups. The proposed methods are evaluated by extensive simulation studies and are illustrated with the skin cancer data that motivated this study.<\/jats:p>","DOI":"10.1002\/sim.9927","type":"journal-article","created":{"date-parts":[[2023,10,23]],"date-time":"2023-10-23T03:21:41Z","timestamp":1698031301000},"page":"5596-5615","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Semiparametric estimation and testing for panel count data with informative interval\u2010censored failure event"],"prefix":"10.1002","volume":"42","author":[{"given":"Li","family":"Liu","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics Wuhan University  Wuhan China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4597-4541","authenticated-orcid":false,"given":"Wen","family":"Su","sequence":"additional","affiliation":[{"name":"Department of Biostatistics City University of Hong Kong  Hong Kong China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4938-7352","authenticated-orcid":false,"given":"Xingqiu","family":"Zhao","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics The Hong Kong Polytechnic University  Hong Kong China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2023,10,22]]},"reference":[{"key":"e_1_2_10_2_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-8715-9"},{"key":"e_1_2_10_3_1","volume-title":"Statistical Analysis of Interval\u2010Censored Failure Time Data","author":"Sun J","year":"2006"},{"key":"e_1_2_10_4_1","doi-asserted-by":"publisher","DOI":"10.1214\/09-AOAS319"},{"key":"e_1_2_10_5_1","doi-asserted-by":"publisher","DOI":"10.1111\/biom.12880"},{"key":"e_1_2_10_6_1","doi-asserted-by":"publisher","DOI":"10.1002\/bimj.201900134"},{"key":"e_1_2_10_7_1","unstructured":"HindeJ.Compound Poisson regression models. 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