Volume 25, Issue 2
Semi-Empiricial Likelihood Confidence Intervals for the Differences of Two Populations Based on Fractional Imputation

Yunxia Bai, Yongsong Qin, Lirong Wang & Ling Li

Commun. Math. Res., 25 (2009), pp. 123-136.

Published online: 2021-06

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  • 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.

  • Keywords

empirical likelihood, confidence intervals, fractional imputation, missing data.

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@Article{CMR-25-123, author = {Bai , Yunxia and Qin , Yongsong and Wang , 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 = {

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} }
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 -

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.

YunxiaBai, YongsongQin, LirongWang & LingLi. (2021). Semi-Empiricial Likelihood Confidence Intervals for the Differences of Two Populations Based on Fractional Imputation. Communications in Mathematical Research . 25 (2). 123-136. doi:
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