ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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A approach to error estimation and significance of measurements in linear problems.

S. I. Spivak1, O. G. Kantor2, D. S. Yunusova3

AnnotationWe consider the problem of recovering the linear dependency on the experimental data, for which it is impossible to find exact solutions because of inability to meet a number of objective conditions. This paper proposes a method to not only obtain approximate solutions , but also to assess the accuracy of measurements and their significance, which is essential for improving the procedure for construction of functional dependencies in the planning stage of the experiments in verifying experimental data or their exclusion from consideration. The paper also provides results of testng of the proposed method.
Keywordsthe problem of recovering the linear dependency, the accuracy of measurements, the significance of measurements, dual estimates.

1Head of the Chair of Mathematical Modelling, Bashkir State University, Ufa; semen.spivak@mail.ru.

2Senior Scientist, Institute of Social and Economic Research of RAS Ufa Scientific Center, Ufa; o_kantor@mail.ru.

3Postgraduate, Bashkir State University, Ufa; kazakova_d_s@mail.ru.

Citation: S. I. Spivak, O. G. Kantor, D. S. Yunusova, "[A approach to error estimation and significance of measurements in linear problems.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,16:2 (2014) 14–19 (In Russian)