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Simultaneous confidence band for the difference of regression functions of two samples
Communications in Statistics - Theory and Methods ( IF 0.6 ) Pub Date : 2020-07-31 , DOI: 10.1080/03610926.2020.1800039 Jiakun Jiang 1 , Li Cai 2 , Lijian Yang 1
更新日期:2020-07-31
Communications in Statistics - Theory and Methods ( IF 0.6 ) Pub Date : 2020-07-31 , DOI: 10.1080/03610926.2020.1800039 Jiakun Jiang 1 , Li Cai 2 , Lijian Yang 1
Affiliation
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.