Parameter estimation of multidimensional possibilistic distributions for a given risk level
Nečetkie sistemy i mâgkie vyčisleniâ, Tome 10 (2015) no. 2, pp. 181-193

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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/}
}
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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/