Geodesic
Multinomial and Krawtchouk Approximations to the Generalized Multinomial Distribution
Teoriâ veroâtnostej i ee primeneniâ, Tome 46 (2001) no. 1, pp. 117-133 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The generalized multinomial distribution is approximated by multinomial distributions and also by finite signed measures resulting from the corresponding multivariate Krawtchouk expansion. Bounds for the total variation norm and the $\ell_\infty$-norm are presented. The method used is a multivariate extension of that in [B. Roos, Theory Probab. Appl., 45 (2000), pp. 258–272], although additional complications occur.
Keywords: generalized multinomial distribution, multivariate Krawtchouk expansion, signed measures, $\ell_\infty$-norm.
Mots-clés : multinomial approximation, total variation norm 
@article{TVP_2001_46_1_a5,
     author = {B. Roos},
     title = {Multinomial and {Krawtchouk} {Approximations} to the {Generalized} {Multinomial} {Distribution}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {117--133},
     year = {2001},
     volume = {46},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_2001_46_1_a5/}
}
TY  - JOUR
AU  - B. Roos
TI  - Multinomial and Krawtchouk Approximations to the Generalized Multinomial Distribution
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 2001
SP  - 117
EP  - 133
VL  - 46
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TVP_2001_46_1_a5/
LA  - en
ID  - TVP_2001_46_1_a5
ER  - 
%0 Journal Article
%A B. Roos
%T Multinomial and Krawtchouk Approximations to the Generalized Multinomial Distribution
%J Teoriâ veroâtnostej i ee primeneniâ
%D 2001
%P 117-133
%V 46
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_2001_46_1_a5/
%G en
%F TVP_2001_46_1_a5
B. Roos. Multinomial and Krawtchouk Approximations to the Generalized Multinomial Distribution. Teoriâ veroâtnostej i ee primeneniâ, Tome 46 (2001) no. 1, pp. 117-133. http://geodesic.mathdoc.fr/item/TVP_2001_46_1_a5/