A Large Sample Study of Generalized Maximum Likelihood Estimators from Incomplete Data Via Self-Consistency

作者: Wei-Yann Tsai , John Crowley

DOI: 10.1214/AOS/1176347514

关键词: MathematicsMissing dataImplicit function theoremEstimatorStatisticsLaw of the iterated logarithmM-estimatorExtremum estimatorConsistency (statistics)Weak convergence

摘要: Self-consistent estimators for estimating distribution functions from incomplete data are presented. In many cases these also generalized maximum likelihood estimators. this paper we discuss the theoretical properties of such estimators: existence, uniform consistency, law iterated logarithm, and weak convergence. Applications to product limit estimator right-censored proposed by Turnbull (1974, 1976) doubly (right- left-) censored given.

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