Informatics and Applications

2015, Volume 9, Issue 4, pp 106-109


  • V. G. Ushakov
  • N. G. Ushakov


Each observed value is registered with finite accuracy which is determined by the sensitivity of the equipment. It is expected that rounding errors could play an important role in the estimation of the mean of the observed value. On the other hand, the researcher usually has a possibility to affect the observation before its registration, for example, to intensify it or to add some additional component. This paper studies the relationship between the measurement error, rounding error, and the accuracy of the reconstruction of the observed value for the case of averaging of repeated measurements. It is demonstrated that under a fixed rounding level, in some sense, the greater the measurement error, the higher the reconstruction accuracy.

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