ASYMPTOTIC PROPERTIES OF NONPARAMETRIC ESTIMATES OF THE REGRESSION IN A PROBLEM OF RESTORATION OF STOCHASTIC DEPENDENCES
It is considered in this article nonparametric estimates of regression of Rosenblatt - Parzen type in a problem of restoration of stochastic dependences. It is tested the convergence of nonparametric estimates of the regression with increasing amount of experimental data to the desired regression function. It is studied asymptotic properties of the nonparametric estimates of regression. It is proved the asymptotic unbiasedness regression. It is founded, that the expectation value of nonparametric regression estimate with increasing amount of experimental data converges to the desired function of regression. It is hold convergence in the mean for the estimate of regression and the consistency of regression.