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Accuracy of Estimating the Mean from Rounded Data

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Rounding errors are an important factor in many statistical problems; therefore, statistical analysis of rounded data has recently received growing interest. In this paper we obtain an estimate of accuracy of the sample mean as an estimator of location parameter from rounded data. In contrast to earlier works, where usually asymptotic properties of such estimators have been studied, here the bounds are obtained for finite samples.

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Authors and Affiliations

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

    N. G. Ushakov

  2. Department of Mathematical Statistics, Lomonosov Moscow State University, Moscow, Russia

    V. G. Ushakov

  3. Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, 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.

Additional information

Proceedings of the XXXV International Seminar on Stability Problems for Stochastic Models, Perm, Russia, September 24–28, 2018. Part I.

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Ushakov, N.G., Ushakov, V.G. Accuracy of Estimating the Mean from Rounded Data. J Math Sci 246, 565–568 (2020). https://doi.org/10.1007/s10958-020-04761-w

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  • DOI: https://doi.org/10.1007/s10958-020-04761-w

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