Geodesic
Local limit theorems for conditionally independent random variables controlled by a finite Markov chain
Teoriâ veroâtnostej i ee primeneniâ, Tome 44 (1999) no. 1, pp. 143-148 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The sufficient conditions for the validity of local theorems for conditionally independent random variables controlled by a finite homogeneous regular Markov chain are given in terms of conditional distributions of summands.
Keywords: conditionally independent random variables, local theorems for densities, local theorem for lattice distributions, normal attraction to the stable law. 
@article{TVP_1999_44_1_a14,
     author = {T. Shervashidze},
     title = {Local limit theorems for conditionally independent random variables controlled by a finite {Markov} chain},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {143--148},
     year = {1999},
     volume = {44},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1999_44_1_a14/}
}
TY  - JOUR
AU  - T. Shervashidze
TI  - Local limit theorems for conditionally independent random variables controlled by a finite Markov chain
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 1999
SP  - 143
EP  - 148
VL  - 44
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TVP_1999_44_1_a14/
LA  - ru
ID  - TVP_1999_44_1_a14
ER  - 
%0 Journal Article
%A T. Shervashidze
%T Local limit theorems for conditionally independent random variables controlled by a finite Markov chain
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1999
%P 143-148
%V 44
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_1999_44_1_a14/
%G ru
%F TVP_1999_44_1_a14
T. Shervashidze. Local limit theorems for conditionally independent random variables controlled by a finite Markov chain. Teoriâ veroâtnostej i ee primeneniâ, Tome 44 (1999) no. 1, pp. 143-148. http://geodesic.mathdoc.fr/item/TVP_1999_44_1_a14/