Scientific journal

ISSN 1814-2400

INFORMATION SCIENCE AND CONTROL SYSTEMS

Lapko A. V., Lapko V. A.

PROPERTIES OF NONPARAMETRIC DENSITY ESTIMATES OF MULTIDIMENSIONAL RANDOM VARIABLES PROBABILITY IN A LARGE SAMPLES

We study the properties of the mixture of nonparametric estimates of the probability density type Rosenblatt - Parzen, a synthesis which is based on the decomposition of the source of statistical data on their volume. Determined by the dependence of the properties of the mixture of its components, volume and dimensions of the sample observations of multidimensional random variable.

Keywords: probability density, nonparametric estimation, large sample asymptotic properties.