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Sieve least squares estimator for partial linear models with current status data
  • 期刊名称:Journal of Systems Science & Complexity
  • 时间:0
  • 页码:335-346
  • 语言:英文
  • 分类:O212.1[理学—概率论与数理统计;理学—数学] O212.3[理学—概率论与数理统计;理学—数学]
  • 作者机构:[1]School of Mathematical Sciences, Graduate University of Chinese Academy of Sciences, Beijing 100049, China., [2]Department of Biostatistics and Computational Biology, University of Rochester, 601 Elmwood Avenue, Box 630, Rochester, NY 14642, USA
  • 相关基金:This research is supported in part by the National Natural Science Foundation of. China under Grant No. 10801133.
  • 相关项目:“合金标准”下测量误差校正模型及其在体育运动数据中的应用
作者: 张三国|
中文摘要:

当前的地位数据经常在幸存分析和可靠性研究产生,当连续回答被归结为反应是否更大的指示物时或不到观察随机的阀值价值。这篇文章与当前的地位数据考虑一个部分线性模型。筛最不摆平评估者被建议估计回归参数和 nonparametric 函数。这份报纸出现,在一些温和状况下面,评估者是强壮的一致。而且,参数评估者通常被散布,当 nonparametric 部件完成最佳的集中时,评价。模拟研究被执行调查建议估计的表演。为说明目的,方法从 hydrogel intraocular 透镜的石灰化的研究被用于真实数据集,奔流处理的复杂并发症。

英文摘要:

Current status data often arise in survival analysis and reliability studies, when a continuous response is reduced to an indicator of whether the response is greater or less than an observed random threshold value. This article considers a partial linear model with current status data. A sieve least squares estimator is proposed to estimate both the regression parameters and the nonparametric function. This paper shows, under some mild condition, that the estimators are strong consistent. Moreover, the parameter estimators are normally distributed, while the nonparametric component achieves the optimal convergence rate. Simulation studies are carried out to investigate the performance of the proposed estimates. For illustration purposes, the method is applied to a real dataset from a study of the calcification of the hydrogel intraocular lenses, a complication of cataract treatment.

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