Investigation of the solution stability of vector investment Boolean problem in the case of H\"older metric in a~criteria space
Prikladnaâ diskretnaâ matematika, no. 4 (2012), pp. 61-72
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The stability of a Pareto-optimal portfolio in the multicriteria discrete variant of Markowitz's investment problem with the Wald's maximin efficiency criteria is analysed. The lower and upper bounds for the stability radius of such a portfolio are obtained in the case of the Hölder metric $l_p$, $1\leq p\leq\infty$, in the criteria space of the problem parameters.
Keywords:
vector investment problem, Pareto-optimal investment portfolio, Wald's efficiency criteria, stability radius of portfolio, the Hölder metric.
@article{PDM_2012_4_a4,
author = {V. A. Emelichev and V. V. Korotkov},
title = {Investigation of the solution stability of vector investment {Boolean} problem in the case of {H\"older} metric in a~criteria space},
journal = {Prikladna\^a diskretna\^a matematika},
pages = {61--72},
publisher = {mathdoc},
number = {4},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/PDM_2012_4_a4/}
}
TY - JOUR AU - V. A. Emelichev AU - V. V. Korotkov TI - Investigation of the solution stability of vector investment Boolean problem in the case of H\"older metric in a~criteria space JO - Prikladnaâ diskretnaâ matematika PY - 2012 SP - 61 EP - 72 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/PDM_2012_4_a4/ LA - ru ID - PDM_2012_4_a4 ER -
%0 Journal Article %A V. A. Emelichev %A V. V. Korotkov %T Investigation of the solution stability of vector investment Boolean problem in the case of H\"older metric in a~criteria space %J Prikladnaâ diskretnaâ matematika %D 2012 %P 61-72 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/PDM_2012_4_a4/ %G ru %F PDM_2012_4_a4
V. A. Emelichev; V. V. Korotkov. Investigation of the solution stability of vector investment Boolean problem in the case of H\"older metric in a~criteria space. Prikladnaâ diskretnaâ matematika, no. 4 (2012), pp. 61-72. http://geodesic.mathdoc.fr/item/PDM_2012_4_a4/