Simultaneous confidence band for the difference of regression functions of two samples

Simultaneous confidence band for the difference of regression functions of two samples
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两个样本回归函数差异的同时置信带

DOI:
10.1080/03610926.2020.1800039
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发表时间:
2020-07
期刊:
Communications in Statistics - Theory and Methods
影响因子:
--
通讯作者:
Yang Lijian
Yang Lijian
中科院分区:
其他
文献类型:
--
作者:
Jiang Jiakun;Cai Li;Yang Lijian

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本文讨论了两个样本非参数回归的比较。为了达到比较的目的,针对两样本非参数回归函数的差异,提出了一种渐近校正的同时置信带。仿真实验有力地印证了渐近理论。利用该方法对内蒙古鄂尔多斯市布连塔煤矿不同样本的矿压数据进行了分析,得到了较为满意的结果。
Abstract This paper concerns the comparison of two sample non parametric regression. An asymptotically correct simultaneous confidence band (SCB) is proposed for the difference of two-sample non parametric regression functions to achieve the goal of comparison. Simulation experiments provide strong evidence that corroborates the asymptotic theory. The proposed SCB is used to analyze different samples of strata pressure data from the Bullianta Coal Mine in Erdos City, Inner Mongolia, China.
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