On nonparametric maximum likelihood estimation with interval censoring and left truncation

Michael G. Hudgens

Journal of the Royal Statistical Society Series B, 2005, vol. 67, issue 4, 573-587

Abstract: Summary. A graph theoretical approach is employed to describe the support set of the nonparametric maximum likelihood estimator for the cumulative distribution function given interval‐censored and left‐truncated data. A necessary and sufficient condition for the existence of a nonparametric maximum likelihood estimator is then derived. Two previously analysed data sets are revisited.

Date: 2005
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