Regression Analysis Of Clustered Current Status Data Under The Additive Hazards Model

Survival analysis,which originated from lots of practical problems in modern medicine and engineering,is an important branch of mathematical statistics.Since 1970s,survival analysis,which stresses statistical analysis of censored data,developed very quickly.By applying theory of probability theory and statistics,survival analysis not only deals with censored data problem in real life,but also promotes the development of mathematical statistics.In survival data analysis,current status data are often appeared in the study.Current status data arise when then failure time can't directly be observed,but can be knowed before or after a random censored time.As we all know,there are lots of ways studying current status data.This paper discusses regression analysis of clustered current status data underthe additive transformation models.We focus on the situation when the correlated failure times of interest may be related to cluster sizes.For this problem,we propose a within-cluster resampling(WCR)method and give the limit distribution theory for the corresponding estimators.Some simulation studies were conducted to assess the finite-sample behaviors of the estimators.