Cited by
- BibTex
- RIS
- TXT
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/}, url = {http://global-sci.org/intro/article_detail/cmr/19297.html} }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.