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
中科院分区:
文献类型:
--
作者:
Chan KC
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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