Scientific journal

ISSN 1814-2400

INFORMATION SCIENCE AND CONTROL SYSTEMS

Lapko A. V., Lapko V. A.

ANALYSIS OF PROPERTIES OF COLLECTIVE OF THE UNIVARIATE NONPARAMETRIC REGRESSIONS BASED ON VARIOUS CONDITIONS OF DECOMPOSITION OF PRIORI DATAS

The technique of synthesis and the analysis of collective of nonparametric regressions are considered in the article. Construction of regressions is carried out on the basis of various volume data. Asymptotic properties of the collective are investigated here and results of their comparison with properties of a traditional nonparametric regression are also presented in the paper, as well as the criteria of an estimation of approximating properties of the collective.

Keywords: nonparametric regression, collective of decision functions, large samples, asymptotic properties, parallel computing