The Estimation of The rth Original Mement of Interval Censored Data

In reliability and survival analysis, the data obtained in modelling failure times are often interval censored. When interval censoring arises, almost all traditional statistical methods cannot work any more.In this paper unbiased transformation method will be used to estimate the rth original mement of interval censored data. When the distribution of the censoring variables is specified, a class of estimators having strong consistency (with the rate of O(n^-1/2(\log\log n)^1/2)) and asymptotic normality have been got.