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This article is cited in 2 scientific papers (total in 2 papers)
On averaging of rounded data
V. G. Ushakovab, N. G. Ushakovcd a Faculty of Computational Mathematics and Cybernetics, M.V. Lomonosov Moscow State University, 1-52 Leninskiye Gory, GSP-1, Moscow 119991, Russian Federation
b Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of the Russian Academy of
Sciences, 44-2 Vavilov Str., Moscow 119333, Russian Federation
c Norwegian University of Science and Technology, 15A S.P. Andersensvei, Trondheim 7491, Norway
d Institute of Microelectronics Technology and High-Purity Materials of the Russian Academy of Sciences, 6 Academician Osipyan Str., Chernogolovka, Moscow Region 142432, Russian Federation
Abstract:
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.
Keywords:
rounded data; law of large numbers; total variation; decomposition of probability distributions.
Received: 10.11.2015
Citation:
V. G. Ushakov, N. G. Ushakov, “On averaging of rounded data”, Inform. Primen., 9:4 (2015), 106–109
Linking options:
https://www.mathnet.ru/eng/ia398 https://www.mathnet.ru/eng/ia/v9/i4/p106
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