Abstract：In many medical studies, some markers are only measured when events occur, such as the medical cost incurred during each hospitalization. In addition, there may exist an informative terminal event that stops the follow-up. In this article, we propose an additive-multiplicative mean model for marker data contingent on recurrent event with an informative terminal event via latent variables. Estimation procedures are developed

for parameter estimation, and asymptotic properties of the proposed estimators are derived. In addition, some numerical procedures are provided for model checking. The finite sample properties of the proposed estimators are examined through simulation studies. An application to a medical cost study of chronic heart failure patients from the University of Virginia Health System is illustrated.