Geodesic
Moving chi-square
Diskretnaya Matematika, Tome 12 (2000) no. 4, pp. 46-52

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

A sequence of independent identically distributed random variables taking values from the set $\{1,2,\dots,N\}$ are partitioned into disjoint intervals of length $n$, and $s$ sequential intervals beginning with the $t$th interval form the $t$th sample of size $ns$. It is proved that if $n\to\infty$ and $N$, $r$ are fixed, then the joint $r$-dimensional distribution of $\chi^2$-statistics constructed for samples of sizes $ns$ with numbers $t_1$ converges to some limit distribution. For this limit distribution, a Gaussian approximation is given. The work was supported by the Russian Foundation for Basic Research, grant 00–15–96136. 
@article{DM_2000_12_4_a3,
     author = {M. I. Tikhomirova and V. P. Chistyakov},
     title = {Moving chi-square},
     journal = {Diskretnaya Matematika},
     pages = {46--52},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2000_12_4_a3/}
}
TY  - JOUR
AU  - M. I. Tikhomirova
AU  - V. P. Chistyakov
TI  - Moving chi-square
JO  - Diskretnaya Matematika
PY  - 2000
SP  - 46
EP  - 52
VL  - 12
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DM_2000_12_4_a3/
LA  - ru
ID  - DM_2000_12_4_a3
ER  - 
%0 Journal Article
%A M. I. Tikhomirova
%A V. P. Chistyakov
%T Moving chi-square
%J Diskretnaya Matematika
%D 2000
%P 46-52
%V 12
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DM_2000_12_4_a3/
%G ru
%F DM_2000_12_4_a3
M. I. Tikhomirova; V. P. Chistyakov. Moving chi-square. Diskretnaya Matematika, Tome 12 (2000) no. 4, pp. 46-52. http://geodesic.mathdoc.fr/item/DM_2000_12_4_a3/