%0 Journal Article %A Savchenko, Evgeniya A. %A Stepashko, Vladimir S. %D 2012 %I Begell House %K errors unbiasedness criterion, selective properties, adequate external GMDH criterion, noise immunity property. %N 4 %P 1-12 %R 10.1615/JAutomatInfScien.v44.i4.10 %T Analytical and Numerical Study of the Selective Properties of the Errors Unbiasedness Criterion in the Problems of Inductive Modeling %U https://www.dl.begellhouse.com/journals/2b6239406278e43e,38e29c6744a28d0d,1832a91f5b707e82.html %V 44 %X The selective properties of the error unbiasedness criterion and its relationship to the known GMDH criteria, including the classic solutions unbiasedness criterion, are studied. Theoretically, it is proved that the errors unbiasedness criterion is an adequate external GMDH criterion. The behavior of the minimum of this criterion for different levels of noise in the data was investigated numerically and it was shown that it possessed the noise immunity property. %8 2012-04-25