Abstract #301329

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JSM 2003 Abstract #301329
Activity Number: 333
Type: Contributed
Date/Time: Wednesday, August 6, 2003 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #301329
Title: Empirical Likelihood with Arbitrarily Censored/Truncated Data by EM Algorithm
Author(s): Mai Zhou*+
Companies: University of Kentucky
Address: Department of Statistics, Lexington, KY, 40506-0027,
Keywords: empirical likelihood ; censored/truncated data ; computation ; EM algorithm ; constrained NPMLE
Abstract:

Empirical likelihood ratio method (Thomas and Grunkmier 1975, Owen 1988, 2001) is a general nonparametric inference procedure with many nice properties. Recently the method has been shown to work with censored/truncated data with various parameters. But the computation of the empirical likelihood ratios with censored/truncated data and parameter of mean is nontrivial. We propose in this paper to use a modified self-consistency/EM algorithm (Turnbull 1976) to compute a class of arbitrarily censored/truncated empirical likelihood ratios where the constraint is of mean type. Examples and simulations are given in the following cases: (1) right censored data with a vector mean parameter; (2) left truncated and right censored data with mean type parameter; and (3) mixed samples with some left, some right, some interval censored observations and mean type parameter.


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