Abstract
Complex censored data, including right censored data, left-truncated and right censored data, multivariate failure time data and recurrent event data, etc., are a large class of important incomplete data existed in survival analysis, biological medicine research, reliability life test and other practical problems, and the statistical analysis for them has been valued all over the world, especially by developed countries, and the research results not only have important theoretical significance, but also have extensive application prospect. For the research on the four aspects, namely, regression analysis under left-truncated and right censored data, research on additive risk model under multivariate failure time data, parameter estimation for a general semiparametric ratio regression model under recurrent event data and the estimation of Cox model under the covariates with measurement errors and missing, this paper studies and reviews the development of those problems deeply, and points out the advantages and disadvantages of the existing studies, then puts forward some front issues.
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