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

Author

Listed:
  • Jiakun Jiang
  • Li Cai
  • Lijian Yang

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.

Suggested Citation

  • Jiakun Jiang & Li Cai & Lijian Yang, 2022. "Simultaneous confidence band for the difference of regression functions of two samples," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(11), pages 3556-3572, June.
    • Handle: RePEc:taf:lstaxx:v:51:y:2022:i:11:p:3556-3572
    DOI: 10.1080/03610926.2020.1800039
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