Regression Analysis Of Current Status Data With Auxiliary Covariates

Survival analysis is a subject that extracted from a large number of practical prob-lems in modern medicine,biology and other disciplines,it focuses on solving the problem of the statistical inference of survival data.The theory and application of survival anal-ysis has been widely concerned by all sectors of society.Today,its applications have penetrated into areas such as medicine,pharmacy,biology and so on.Actually,people in the process of tracking and collecting data often cause censor-ship because of the limitation of the study period and other objective reasons.Different censoring mechanisms generally produce different types of censored data,where inter-val censorship is an important data censorship in survival analysis.So far,the vast majority of the underlying theory of censored data is based on the right censored data.Due to the essential difference between the interval censoring mechanism and the right censoring mechanism,the interval censored data is a more challenging data type.On the other hand,there may be some missing or inaccurate observations of the covariate because of some reason,we only have some auxiliary covariate information.in this case,we can make the statistical inferred work with the help of them.Many scholars have succeeded in using covariate auxiliary to make the tatistical inference of right censored data,so how about the interval censored data?Firstly,we introduce the types of censored data and the semiparametric model in survival analysis.Secondly,we introduce the statistical processing method of missing information of auxiliary information.Finally,we propose two kinds of parameter esti-mation methods for the additive hazards regression analysis of case I interval—censored data with auxiliary covariates,and give the limit distribution theory of estimators.A large number of data simulation analysis show that the two estimation methods are effective.