Inference on the Mixed Effect Additive-Multiplicative Hazard Model for Clustered Failure Time Data

In survival analysis, data from different hospitals or treatment centers may be collected. The individuals from the same hospital are grouped into a cluster, and they have similarity. An additivemultiplicative hazard model was developed for the clustered failure time. A mixed effect was added to the model denoting the correlation among the cluster. The individuals in the same cluster share the same effect. The estimation equation method was applied to obtain the estimator. Asymptotic properties were given and proved. Some simulation was conducted to verify the performance of the estimate under the finite sample. The model was further illustrated with real data analysis.