Geodesic
A family of multivariate chi-square statistics
Diskretnaya Matematika, Tome 14 (2002) no. 3, pp. 130-142

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider a sequence of independent trials, which, under the hypothesis $H_0$, is a realisation of some polynomial scheme. We define a family of multivariate chi-square statistics which includes the sequential chi-square test statistics. We formulate conditions which guarantee that the distributions of the statistics under consideration converge to limit distributions under the hypothesis $H_0$ and the alternatives contigual to $H_0$. We find the form of the Laplace transforms of the limit distributions of the statistics of the family. This research was supported by the Russian Foundation for Basic Research, grant 00–15–96136. 
@article{DM_2002_14_3_a12,
     author = {B. I. Selivanov},
     title = {A family of multivariate chi-square statistics},
     journal = {Diskretnaya Matematika},
     pages = {130--142},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2002_14_3_a12/}
}
TY  - JOUR
AU  - B. I. Selivanov
TI  - A family of multivariate chi-square statistics
JO  - Diskretnaya Matematika
PY  - 2002
SP  - 130
EP  - 142
VL  - 14
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DM_2002_14_3_a12/
LA  - ru
ID  - DM_2002_14_3_a12
ER  - 
%0 Journal Article
%A B. I. Selivanov
%T A family of multivariate chi-square statistics
%J Diskretnaya Matematika
%D 2002
%P 130-142
%V 14
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DM_2002_14_3_a12/
%G ru
%F DM_2002_14_3_a12
B. I. Selivanov. A family of multivariate chi-square statistics. Diskretnaya Matematika, Tome 14 (2002) no. 3, pp. 130-142. http://geodesic.mathdoc.fr/item/DM_2002_14_3_a12/