A Large Sample Study of Generalized Maximum Likelihood Estimators from Incomplete Data Via Self-Consistency
The Annals of StatisticsPublished 1 December 1985Open access
Wei‐Yann Tsai, John Crowley
Citations77
SJR quartileQ1
SJR score4.77
SNIP3.13
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Abstract
Self-consistent estimators for estimating distribution functions from incomplete data are presented. In many cases these estimators are also generalized maximum likelihood estimators. In this paper we discuss the theoretical properties of such estimators: existence, uniform consistency, law of the iterated logarithm, and weak convergence. Applications to the product limit estimator for right-censored data and to the estimator proposed by Turnbull (1974, 1976) for doubly (right- and left-) censored data are also given.
Keywords
Computer ScienceMathematics