Parameter estimation of multidimensional possibilistic distributions for a given risk level
Nečetkie sistemy i mâgkie vyčisleniâ, Tome 10 (2015) no. 2, pp. 181-193
Voir la notice de l'article provenant de la source Math-Net.Ru
Based on the work of Dug Hun Hong, we present a solution to parameters estimation problem of fuzzy distributions in m-dimensional case and show that this estimator is consistent, sufficient and maximum likelihood. Our method is based on geometrical approach, where minimal area enclosing ellipsoid is constructed around the sample.
Keywords:
fuzzy distribution, parameter estimation.
@article{FSSC_2015_10_2_a2,
author = {I. V. Sorokina and S. V. Sorokin},
title = {Parameter estimation of multidimensional possibilistic distributions for a given risk level},
journal = {Ne\v{c}etkie sistemy i m\^agkie vy\v{c}isleni\^a},
pages = {181--193},
publisher = {mathdoc},
volume = {10},
number = {2},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FSSC_2015_10_2_a2/}
}
TY - JOUR AU - I. V. Sorokina AU - S. V. Sorokin TI - Parameter estimation of multidimensional possibilistic distributions for a given risk level JO - Nečetkie sistemy i mâgkie vyčisleniâ PY - 2015 SP - 181 EP - 193 VL - 10 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FSSC_2015_10_2_a2/ LA - ru ID - FSSC_2015_10_2_a2 ER -
%0 Journal Article %A I. V. Sorokina %A S. V. Sorokin %T Parameter estimation of multidimensional possibilistic distributions for a given risk level %J Nečetkie sistemy i mâgkie vyčisleniâ %D 2015 %P 181-193 %V 10 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/FSSC_2015_10_2_a2/ %G ru %F FSSC_2015_10_2_a2
I. V. Sorokina; S. V. Sorokin. Parameter estimation of multidimensional possibilistic distributions for a given risk level. Nečetkie sistemy i mâgkie vyčisleniâ, Tome 10 (2015) no. 2, pp. 181-193. http://geodesic.mathdoc.fr/item/FSSC_2015_10_2_a2/