TY - JOUR
T1 - Semi-Empiricial Likelihood Confidence Intervals for the Differences of Two Populations Based on Fractional Imputation
AU - Bai , Yunxia
AU - Qin , Yongsong
AU - Wang , Lirong
AU - Li , Ling
JO - Communications in Mathematical Research 
VL - 2
SP - 123
EP - 136
PY - 2021
DA - 2021/06
SN - 25
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19297.html
KW - empirical likelihood, confidence intervals, fractional imputation, missing
data.
AB - <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>