Geodesic
Limit theorems on maximums of Poisson sequences and their applications to queuing theory
Teoriâ veroâtnostej i ee primeneniâ, Tome 44 (1999) no. 2, pp. 446-450 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We consider a sequence of independent Poisson random variables $X_n$ with parameters $\lambda_n$. Asymptotic properties of maximums $Y_n=\max_{1\le i\le n}X_i$ under the dependence on properties of the sequence $\{\lambda_n\}$ are studied. The results obtained are applied to investigating the maximal number of claims in the system $M|G|\infty$ with parameters dependent on time.
Mots-clés : Poisson random variables
Keywords: maximums, limit theorems, almost sure convergence, infinitely linear queuing systems. 
@article{TVP_1999_44_2_a12,
     author = {A. V. Lebedev},
     title = {Limit theorems on maximums of {Poisson} sequences and their applications to queuing theory},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {446--450},
     year = {1999},
     volume = {44},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1999_44_2_a12/}
}
TY  - JOUR
AU  - A. V. Lebedev
TI  - Limit theorems on maximums of Poisson sequences and their applications to queuing theory
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 1999
SP  - 446
EP  - 450
VL  - 44
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TVP_1999_44_2_a12/
LA  - ru
ID  - TVP_1999_44_2_a12
ER  - 
%0 Journal Article
%A A. V. Lebedev
%T Limit theorems on maximums of Poisson sequences and their applications to queuing theory
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1999
%P 446-450
%V 44
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1999_44_2_a12/
%G ru
%F TVP_1999_44_2_a12
A. V. Lebedev. Limit theorems on maximums of Poisson sequences and their applications to queuing theory. Teoriâ veroâtnostej i ee primeneniâ, Tome 44 (1999) no. 2, pp. 446-450. http://geodesic.mathdoc.fr/item/TVP_1999_44_2_a12/