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Abstract:
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We consider recurrent events of the same type during alternating restraint and non-restraint time periods. This research is motivated by a study on juvenile recidivism, where the probationers were followed during alternating placement periods and free-time periods. During the placement periods,the probationers were under a restricted environment with direct observation by the probation officers. The probationers were released to home and not under direct observation during the free-time periods. Although re-offenses can occur during both types of periods, the intensities of the re-offenses are very different. Thus, these two types of periods should be modeled differently. In this paper, we propose a joint modeling framework that explicitly accounts for the different time periods, as well as the dependence between the two different intensities. The estimation procedure is implemented in SAS and is highly accessible to practical investigators. We evaluate the proposed method through simulation studies under both correctly specified and mis-specified models, and demonstrate the feasibility of the proposed method by applying it to the juvenile recidivism dataset. The proposed method is also applicable to studies in medicine and health care, such as tumor metastases during chemotherapy and chemo-free periods.
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