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Big data and precision

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  • D.R. Cox

Abstract

So-called big data are likely to have complex structure, in particular implying that estimates of precision obtained by applying standard statistical procedures are likely to be misleading, even if the point estimates of parameters themselves may be reasonably satisfactory. While this possibility is best explored in the context of each special case, here we outline a fairly general representation of the accretion of error in large systems and explore the possible implications for the estimation of regression coefficients. The discussion raises issues broadly parallel to the distinction between short-range and long-range dependence in time series theory.

Suggested Citation

  • D.R. Cox, 2015. "Big data and precision," Biometrika, Biometrika Trust, vol. 102(3), pages 712-716.
  • Handle: RePEc:oup:biomet:v:102:y:2015:i:3:p:712-716.
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    File URL: http://hdl.handle.net/10.1093/biomet/asv033
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    Cited by:

    1. Reid, Nancy, 2018. "Statistical science in the world of big data," Statistics & Probability Letters, Elsevier, vol. 136(C), pages 42-45.
    2. Robert E Kass & Brian S Caffo & Marie Davidian & Xiao-Li Meng & Bin Yu & Nancy Reid, 2016. "Ten Simple Rules for Effective Statistical Practice," PLOS Computational Biology, Public Library of Science, vol. 12(6), pages 1-8, June.
    3. Momin M. Malik, 2020. "A Hierarchy of Limitations in Machine Learning," Papers 2002.05193, arXiv.org, revised Feb 2020.
    4. Battey, H.S. & Cox, D.R., 2022. "Some aspects of non-standard multivariate analysis," Journal of Multivariate Analysis, Elsevier, vol. 188(C).
    5. Marco Riani & Anthony C. Atkinson & Andrea Cerioli & Aldo Corbellini, 2019. "Comments on: Data science, big data and statistics," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(2), pages 349-352, June.

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