Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (1995) no. 3, pp. 463-488
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G. P. Chistyakov; S. Yu. Pergamentsev. Some extensions of the Darmois–Skitovich and Kagan Theorems to classes of the generalized random variables. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (1995) no. 3, pp. 463-488. http://geodesic.mathdoc.fr/item/JMAG_1995_2_3_a16/
@article{JMAG_1995_2_3_a16,
author = {G. P. Chistyakov and S. Yu. Pergamentsev},
title = {Some extensions of the {Darmois{\textendash}Skitovich} and {Kagan} {Theorems} to classes of the generalized random variables},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {463--488},
year = {1995},
volume = {2},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_1995_2_3_a16/}
}
TY - JOUR
AU - G. P. Chistyakov
AU - S. Yu. Pergamentsev
TI - Some extensions of the Darmois–Skitovich and Kagan Theorems to classes of the generalized random variables
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 1995
SP - 463
EP - 488
VL - 2
IS - 3
UR - http://geodesic.mathdoc.fr/item/JMAG_1995_2_3_a16/
LA - en
ID - JMAG_1995_2_3_a16
ER -
%0 Journal Article
%A G. P. Chistyakov
%A S. Yu. Pergamentsev
%T Some extensions of the Darmois–Skitovich and Kagan Theorems to classes of the generalized random variables
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 1995
%P 463-488
%V 2
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_1995_2_3_a16/
%G en
%F JMAG_1995_2_3_a16
The Darmois–Skitovich Theorem and its generalization that was given by Kagan are transferred on a class of complex-valued random variables. They are also extended on wide classes of generalized random variables for which functions of bounded variation are taken instead of distribution functions.
