Nuisance parameter elimination for proportional likelihood ratio models with nonignorable missingness and random truncation.

Nuisance parameter elimination for proportional likelihood ratio models with nonignorable missingness and random truncation.
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DOI:
10.1093/biomet/ass056
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发表时间:
2013
期刊:
影响因子:
2.7
通讯作者:
Chan KC
Chan KC
中科院分区:
数学2区
文献类型:
--
作者:
Chan KC

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我们表明,最近提出的比例似然比模型享有模型不变的性质,在某些形式的不可分割的缺失机制和随机双截断数据,使目标参数的人口可以估计一致的偏差样本。我们还构建了一个替代估计的目标参数,通过最大化的伪似然,消除了模型中的功能滋扰参数。相应的估计方程具有U-统计量结构。作为所提出的方法的一个额外的优点,一个简单的得分型测试的回归系数的零假设进行测试。仿真结果表明,所提出的估计具有类似的非参数似然估计的小样本效率,并表现出良好的某些不可重复的缺失数据问题。
We show that the proportional likelihood ratio model proposed recently by enjoys model-invariant properties under certain forms of nonignorable missing mechanisms and randomly double-truncated data, so that target parameters in the population can be estimated consistently from those biased samples. We also construct an alternative estimator for the target parameters by maximizing a pseudo-likelihood that eliminates a functional nuisance parameter in the model. The corresponding estimating equation has a U-statistic structure. As an added advantage of the proposed method, a simple score-type test is developed to test a null hypothesis on the regression coefficients. Simulations show that the proposed estimator has a small-sample efficiency similar to that of the nonparametric likelihood estimator and performs well for certain nonignorable missing data problems.
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