Email this article ANALYSIS OF PROPERTIES OF MIXTURE OF NONPARAMETRIC ESTIMATIONSOF A PROBABILITY DENSITY OF A MULTIDIMENSIONAL RANDOM VARIABLE
- Authors: Lapko A.V.1, Lapko V.A.1, Lapko AV1, Lapko VA1
-
Affiliations:
- Issue: Vol 11, No 2 (2010)
- Pages: 32-35
- Section: Articles
- URL: https://journals.eco-vector.com/2712-8970/article/view/504867
- ID: 504867
Cite item
Full Text
Abstract
Asymptotic properties of mixture of nonparametric estimations of a probability density of a multidimensional random
variable are researched. Their correlation with properties of a traditional nonparametric estimation of a probability
density of Rosenblatt-Parzen type, in accordance with quantity of components of mixture and dimension of a random
variable is arranged.
variable are researched. Their correlation with properties of a traditional nonparametric estimation of a probability
density of Rosenblatt-Parzen type, in accordance with quantity of components of mixture and dimension of a random
variable is arranged.
About the authors
Aleksandr Vasil'evich Lapko
Email: lapko@icm.krasn.ru
Vasiliy Aleksandrovich Lapko
Email: lapko@icm.krasn.ru
A V Lapko
V A Lapko
References
- Parzen E. On estimation of a probability density function and mode // Ann. Math. Statistic. 1962. Vol. 33. P. 1065-1076.
- Епанечников В. А. Непараметрическая оценка многомерной плотности вероятности // Теория вероятности и ее применения. 1969. Т. 14. Вып. 1. С. 156-161.
- Лапко В. А., Варочкин С. С., Егорочкин И. А. Разработка и исследование непараметрической оценки плотности вероятности, основанной на принципе декомпозиции обучающей выборки по её объему // Вестник СибГАУ. 2009. № 1(22). Ч. 1. С. 45-49.
Supplementary files
