@Article{CMR-25-2, author = {Yunxia, Bai and Yongsong, Qin and Wang, Lirong and Ling, Li}, title = {Semi-Empiricial Likelihood Confidence Intervals for the Differences of Two Populations Based on Fractional Imputation}, journal = {Communications in Mathematical Research }, year = {2009}, volume = {25}, number = {2}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/2009-CMR-19297}, url = {https://global-sci.com/article/81936/semi-empiricial-likelihood-confidence-intervals-for-the-differences-of-two-populations-based-on-fractional-imputation} }