Informatics and Applications
2015, Volume 9, Issue 4, pp 106-109
ON AVERAGING OF ROUNDED DATA
- V. G. Ushakov
- N. G. Ushakov
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.
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[+] About this article
Title
ON AVERAGING OF ROUNDED DATA
Journal
Informatics and Applications
2015, Volume 9, Issue 4, pp 106-109
Cover Date
2015-11-30
DOI
10.14357/19922264150412
Print ISSN
1992-2264
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
rounded data; law of large numbers; total variation; decomposition of probability distributions
Authors
V. G. Ushakov  , 
and N. G. Ushakov  , 
Author Affiliations
Department of Mathematical Statistics, Faculty of Computational Mathematics and Cybernetics, M.V. Lomonosov Moscow State University, 1-52 Leninskiye Gory, Moscow 119991, GSP-1, Russian Federation
Institute of Informatics Problems, Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, 44-2 Vavilov Str., Moscow 119333, Russian Federation
Institute of Microelectronics Technology and High-Purity Materials of the Russian Academy of Sciences, 6 Academician Osipyan Str., Chernogolovka, Moscow Region 142432, Russian Federation
Norwegian University of Science and Technology, 15A S.P. Andersensvei, Trondheim 7491, Norway
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