Increasing the Reliability of Numerical Data Using Several Methods Under Conditions of Indeterminacy

DOI

10.2991/itids-19.2019.12How to use a DOI?

Keywords

programmer mistake, undetermined error, computer methods, indeterminacy intervals comparison

Abstract

In order to increase data reliability, between two and four methods may be used to solve the same problem, with the results being compared. An estimation of the error in every method must be found. The paper offers a mathematical model for the unobservable component of the error, which may be caused by various factors (for example, software implementation). This gives a numerical characteristic of certainty. The main assumption is that the errors from the different methods may be considered as independent random quantities. Moreover, the probability density of the error has a single maximum at zero. In connection with the indeterminacy of the probability densities, the worst case distribution functions (leading to maximum error probability) must be found. An estimate is obtained of the probability of the existence of an error greater than some given value, under the condition that the results coincide up to the accuracy of the computations.

Copyright

© 2019, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Vladimir Zhitnikov
AU  - Nataliya Sherykhalina
AU  - Roza Muksimova
AU  - Natalya Zhitnikova
PY  - 2019/05
DA  - 2019/05
TI  - Increasing the Reliability of Numerical Data Using Several Methods Under Conditions of Indeterminacy
BT  - Proceedings of the 7th Scientific Conference on Information Technologies for Intelligent Decision Making Support (ITIDS 2019)
PB  - Atlantis Press
SP  - 61
EP  - 68
SN  - 1951-6851
UR  - https://doi.org/10.2991/itids-19.2019.12
DO  - 10.2991/itids-19.2019.12
ID  - Zhitnikov2019/05
ER  -