| Summary: | 碩士 === 東海大學 === 統計學系 === 101 === Current status data arise from the basic version of the interval censoring where the
observation consists only of an examination time and knowledge of whether the failure time
has occurred before the examination time. In some cases, the failure time also suffers lefttruncation,
which results in left-truncated current status (LTCS) data. In this article, we first
point out that for LTCS data the nonparametric estimator using Turnbull's EM algorithm is
not the NPMLE since left-truncation times can also be left-censoring times. However, based
on innermost sets, we can still obtain a nonparametric estimate using Turnbull's algorithm.
Simulation study indicates that both estimators perform adequately and are consistent.
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