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On exact forms of Taylor’s theorem for vector-valued functions

Author

Listed:
  • Changyong Feng
  • Hongyue Wang
  • Tian Chen
  • Xin M. Tu

Abstract

Exact forms of Taylor expansion for vector-valued functions have been incorrectly used in many statistical publications. We offer two methods to correct this error.

Suggested Citation

  • Changyong Feng & Hongyue Wang & Tian Chen & Xin M. Tu, 2014. "On exact forms of Taylor’s theorem for vector-valued functions," Biometrika, Biometrika Trust, vol. 101(4), pages 1003-1003.
    • Handle: RePEc:oup:biomet:v:101:y:2014:i:4:p:1003.
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    File URL: http://hdl.handle.net/10.1093/biomet/asu061
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    Cited by:

    1. Liu, Yaru & Liu, Shenquan & Zhan, Feibiao & Zhang, Xiaohan, 2020. "Firing patterns of the modified Hodgkin–Huxley models subject to Taylor ’s formula," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    2. Okui, Ryo & Yanagi, Takahide, 2019. "Panel data analysis with heterogeneous dynamics," Journal of Econometrics, Elsevier, vol. 212(2), pages 451-475.
    3. Kalogridis, Ioannis & Van Aelst, Stefan, 2019. "Robust functional regression based on principal components," Journal of Multivariate Analysis, Elsevier, vol. 173(C), pages 393-415.

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