Study on Asymptotic Properties of a Joint Model

Huan Bin Liu; Tong Yin; Cong Jun Rao

doi:10.4028/www.scientific.net/AMM.631-632.86

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 631-632Study on Asymptotic Properties of a Joint Model

Study on Asymptotic Properties of a Joint Model

Abstract:

With the development of biology, medical statistics and economy, the study of recurrent event data has made great progress. Many important statistical models of failed time and recurrence process are established. In this paper, we study a joint model based on multiplicable hazard function and proportional hazard function. Considering that the covariate is time-independent, and censoring is dependent on recurrent event processes and end times, we prove the consistency and asymptotic properties of the estimation under certain regularity conditions for this model.