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September, 1993 Empirical Likelihood in Biased Sample Problems
Jing Qin
Ann. Statist. 21(3): 1182-1196 (September, 1993). DOI: 10.1214/aos/1176349257

Abstract

It is well known that we can use the likelihood ratio statistic to test hypotheses and to construct confidence intervals in full parametric models. Recently, Owen introduced the empirical likelihood method in nonparametric models. In this paper, we generalize his results to biased sample problems. A Wilks theorem leading to a likelihood ratio confidence interval for the mean is given. Some extensions, discussion and simulations are presented.

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Jing Qin. "Empirical Likelihood in Biased Sample Problems." Ann. Statist. 21 (3) 1182 - 1196, September, 1993. https://doi.org/10.1214/aos/1176349257

Information

Published: September, 1993
First available in Project Euclid: 12 April 2007

zbMATH: 0791.62052
MathSciNet: MR1241264
Digital Object Identifier: 10.1214/aos/1176349257

Subjects:
Primary: 62E20
Secondary: 62D05

Rights: Copyright © 1993 Institute of Mathematical Statistics

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Vol.21 • No. 3 • September, 1993
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