biostudies-literatureZhan TNIDDK NIH HHS222-237https://www.ebi.ac.uk/biostudies/studies/S-EPMC12893071biostudies-literatureUnknown48(2)Process regression methodology is underdeveloped relative to the frequency with which pertinent data arise. In this article, the response is a binary indicator process representing the joint event of being alive and remaining in a specific state. The process is indexed by time (e.g., time since diagnosis) and observed continuously. Data of this sort occur frequently in the study of chronic disease. A general area of application involves a recurrent event with non-negligible duration (e.g., hospitalization and associated length of hospital stay) and subject to a terminating event (e.g., death). We propose a semiparametric multiplicative model for the process version of the probability of being alive and in the (transient) state of interest. Under the proposed methods, the regression parametThe Canadian journal of statistics = Revue canadienne de statistiqueSemiparametric regression methods for temporal processes subject to multiple sources of censoring.PMC12893071R01 DK070869Zhan TSchaubel DEfalseSemiparametric regression methods for temporal processes subject to multiple sources of censoring.Process regression methodology is underdeveloped relative to the frequency with which pertinent data arise. In this article, the response is a binary indicator process representing the joint event of being alive and remaining in a specific state. The process is indexed by time (e.g., time since diagnosis) and observed continuously. Data of this sort occur frequently in the study of chronic disease. A general area of application involves a recurrent event with non-negligible duration (e.g., hospitalization and associated length of hospital stay) and subject to a terminating event (e.g., death). We propose a semiparametric multiplicative model for the process version of the probability of being alive and in the (transient) state of interest. Under the proposed methods, the regression paramet2020-01-01T00:00:00Z2020 Jun2026-07-15T18:01:20.902Z2026-07-08T03:08:24.537ZS-EPMC128930714168437210.1002/cjs.11528