@Article{CMR-25-123,
author = {Bai , YunxiaQin , YongsongWang , Lirong and Li , Ling},
title = {Semi-Empiricial Likelihood Confidence Intervals for the Differences of Two Populations Based on Fractional Imputation},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {25},
number = {2},
pages = {123--136},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2707-8523},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cmr/19297.html}
}