Semi-Empiricial Likelihood Confidence Intervals for the Differences of Two Populations Based on Fractional Imputation
Year: 2009
Author: Yunxia Bai, Yongsong Qin, Lirong Wang, Ling Li
Communications in Mathematical Research , Vol. 25 (2009), Iss. 2 : pp. 123–136
Abstract
Suppose that there are two populations $x$ and $y$ with missing data on both of them, where $x$ has a distribution function $F(·)$ which is unknown and $y$ has a distribution function $G_θ(·)$ with a probability density function $g_θ(·)$ with known form depending on some unknown parameter $θ$. Fractional imputation is used to fill in missing data. The asymptotic distributions of the semi-empirical likelihood ration statistic are obtained under some mild conditions. Then, empirical likelihood confidence intervals on the differences of $x$ and $y$ are constructed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-CMR-19297
Communications in Mathematical Research , Vol. 25 (2009), Iss. 2 : pp. 123–136
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: empirical likelihood confidence intervals fractional imputation missing data.