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

S. I. Spivak^a, O. G. Kantor^b, D. S. Yunusova<sup>a

a</sup> Bashkir State University, Ufa
^b Institute of Social and Economic Researchs, Ufa Science Centre, Russian Academy of Sciences

Abstract: We 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.

Keywords: the problem of recovering the linear dependency, the accuracy of measurements, the significance of measurements, dual estimates.

UDC: 519.87

Received: 25.07.2014