| 混合缺失机制下两总体差异的半经验似然置信区间 |
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| 引用本文： | 白云霞,王历容,黎玲,秦永松.混合缺失机制下两总体差异的半经验似然置信区间[J].数学研究,2009,42(1). |
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| 作者姓名： | 白云霞 王历容 黎玲 秦永松 |
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| 作者单位： | 1. 包头医学院药学系,内蒙古,包头,014040;广西师范大学数学科学学院,广西,桂林,541004
2. 广西师范大学数学科学学院,广西,桂林,541004 |
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| 基金项目： | 国家自然科学基金，广西自治区科学基金，教育部留学回国人员科研启动基金，广西研究生教育创新计划 |
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| 摘 要： | 假定两个总体x与y均有数据缺失,它们的分布函数分别为F(·)与G_θ(·),其中F(·)未知,G_θ(·)的概率密度函数g_θ(·)形式已知,仅依赖于一些未知的参数,利用Fractional填补法填补缺失值,在一定的条件下证明了缺失数据下两总体差异指标的半经验似然比统计量的渐近分布为x_1~2,由此可构造两总体差异指标的经验似然置信区间.
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| 关 键 词： | 经验似然 置信区间 缺失数据 填补 回归填补 分数填补法 |
Semi-empirical Likelihood Confidence Intervals for the Differences of Two Statistical Models with Mixed Missing Data |
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| Bai Yunxia,Wang Lirong,Li Ling,Qin Yongsong.Semi-empirical Likelihood Confidence Intervals for the Differences of Two Statistical Models with Mixed Missing Data[J].Journal of Mathematical Study,2009,42(1). |
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| Authors: | Bai Yunxia Wang Lirong Li Ling Qin Yongsong |
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| Institution: | 1.Pharmacy Department of Baotou Medical College; Neimenggu Baotou 014040; 2.College of Mathematical Science; Guangxi Normal University; Guilin 541004; |
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| Abstract: | Suppose that there are two populations x and y with missing data on both of them, where x has distribution function F(·) which is unknown and y has distribution function G_θ(·) with probability density function g_θ(·) is of known from depending on some unknown parameterθ.Fractional random imputation is used to fill in missing data.Under certain mild conditions and missing data,it is shown that asymptotic distribution of the empirical likelihood ratio statistics for various difference of two semi-nonparametr... |
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| Keywords: | Empirical likelihood Confidence intervals Missing data Imputation Regression imputation Fractional imputation |
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