Výsledky vyhledávání - "R. A. Abusev"

On a Method to Calculate Risk Function in a Problem of Identifying Groups of Multivariate Student Distributions*

Autor: R. A. Abusev, N. V. Zhekina

Publikováno v: Journal of Mathematical Sciences. 205:7-11

Construction of decision rules for group and pointwise classification is an important problem of image recognition theory. Depending on the initial information optimal and other statistical rules may be constructed, but in both cases classification e

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8c0f97a2e36d8d74933fa8ec8a4d12fc
https://doi.org/10.1007/s10958-015-2223-x

Zobrazit plný text záznamu

On the Distances Between Certain Distributions in Multivariate Statistical Analysis*

Autor: R. A. Abusev

Publikováno v: Journal of Mathematical Sciences. 205:2-6

In this paper we study a problem of preserving probabilistic and statistical properties of random walks under sample space mapping, in particular, under mapping of random walk sample space into space of sufficient statistics of that random walk. We c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::25982dca05c907782440602000ba7409
https://doi.org/10.1007/s10958-015-2222-y

Zobrazit plný text záznamu

On Group Choice Procedures for Problems of Classification and Reliability in the Case of Lognormal Variance*

Autor: R. A. Abusev

Publikováno v: Journal of Mathematical Sciences. 189:911-918

This paper is the first to obtain results by applying group analysis to the problems of statistical estimation, statistical pattern recognition, and robustness in the case of populations with lognormal distributions. Maximum likelihood unbiased Bayes

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::919e8fbb006db9b5fec3795908df6926
https://doi.org/10.1007/s10958-013-1231-y

Zobrazit plný text záznamu

Problems of estimation, group classification, and testing for one distribution family*

Autor: R. A. Abusev

Publikováno v: Journal of Mathematical Sciences. 189:963-966

Statistical estimators are obtained for the distribution density of sufficient statistic for Burr distributions, statistical decision rules are constructed for group classification, and analytical and numeric comparison is conducted for different met

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cf57ff609c474b46da1cb629cf142c73
https://doi.org/10.1007/s10958-013-1238-4

Zobrazit plný text záznamu

Calculation of some attribute characteristics of decision rules for multivariate t-distributions

Autor: R. A. Abusev, E. V. Babushkina

Publikováno v: Pattern Recognition and Image Analysis. 16:682-688

Analytical expressions for the probability of errors in recognition of multivariate Student distributions have been derived for the first time. The upper and lower bounds of the risk function have been found. The characteristics of the expressions ar

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::00206432ded58872097afae7e0e64ef4
https://doi.org/10.1134/s105466180604016x

Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání