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Statistical analysis of rounded data: Recovering of information lost due to rounding

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Abstract

We consider situations when data for statistical analysis are given in a rounded form, and the rounding errors (the discretization step) are comparable or even greater than the measurement errors. We study possibilities to achieve accuracy much higher than the discretization step and to recover information lost due to rounding. The main tool for solving this problem is the use of additional measurement errors.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Norwegian University of Science and Technology, N-7491, Trondheim, Norway

    N. G. Ushakov

  2. Department of Mathematical Statistics, Moscow State University, Institute of Informatics Problems, FRC CSC RAS, 119992, Moscow, Russia

    V. G. Ushakov

Authors
  1. N. G. Ushakov
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  2. V. G. Ushakov
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Correspondence to N. G. Ushakov.

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Ushakov, N.G., Ushakov, V.G. Statistical analysis of rounded data: Recovering of information lost due to rounding. J. Korean Stat. Soc. 46, 426–437 (2017). https://doi.org/10.1016/j.jkss.2017.01.003

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  • DOI: https://doi.org/10.1016/j.jkss.2017.01.003

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