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

Jiakun Jiang, Li Cai and Lijian Yang

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 11, 3556-3572

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.

Date: 2022
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DOI: 10.1080/03610926.2020.1800039

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