http://dspace.nbuv.gov.ua:80/handle/123456789/3052 2026-04-05T19:11:23Z http://dspace.nbuv.gov.ua:80/handle/123456789/4500 On local linear estimation in nonparametric errors-in-variables models Zwanzig, S. Local linear methods are applied to a nonparametric regression model with normal errors in the variables and uniform distribution of the variables. The local neighborhood is determined with help of deconvolution kernels. Two different linear estimation method are used: the naive estimator and the total least squares estimator. Both local linear estimators are consistent. But only the local naive estimator delivers an estimation of the tangent. 2007-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/4499 Stochastic processes in some Besov spaces Yakovenko, T. The norm of increments of stochastic process in space Lq[a, b] is estimated and conditions under which trajectories of process belong to some Besov spaces are found. 2007-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/4498 On asymptotic information integral inequalities Veretennikov, A. Asymptotical versions of Bayesian Cramer – Rao inequalities are discussed. 2007-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/4497 Probability distributions with independent Q-symbols and transformations preserving the Hausdorff dimension Torbin, G. The paper is devoted to the study of connections between fractal properties of one-dimensional singularly continuous probability measures and the preservation of the Hausdorf dimension of any subset of the unit interval under the corresponding distribution function. Conditions for the distribution function of a random variable with independent Q-digits to be a transformation preserving the Hausdorf dimension (DP-transformation) are studied in details. It is shown that for a large class of probability measures the distribution function is a DP-transformation if and only if the corresponding probability measure is of full Hausdorf dimension. 2007-01-01T00:00:00Z