id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
gs-1949	Kvatadze, Zurab; Parjiani, Beqnu; Kvatadze, TSiala	On the conditional distribution of the sum of m − dependent vectors	2023	13	.pdf	application/pdf	5856	391	72	Let's use the following representations Georgian Scientists/ქართველი მეცნიერები ტ. 5 N 2, 2023 26     1 1 1 2P ( ) ( ) ( ) P ( ) ( ) ( ) m m m mn n n n R R R n RS S x y F x x y x y F x S x y                 =     1 1 1 1 2 2P ( ) ( ) P ( ) ( ) 1 m mn n n n n R n RS S F x S x y F x S x y                  P 0                  1 1 2lim P 0 +P 0 1 lim P ( ) ( ) ( ) m m mn n R R n R n n M L x y x S x y                 ( ) ( )Q y Q y   The proof of point b) is obtained from the fact that the random vectors nM and nL have the same limiting distributions as the vectors 1 nM and 1 nL respectively.	cache/gs-1949.pdf	txt/gs-1949.txt