Diskretnaya Matematika, Tome 9 (1997) no. 3, pp. 43-51
Citer cet article
A. S. Ambrosimov; A. N. Timashev. On a randomized approach to the construction of tests for the equiprobability of outcomes of a multinomial scheme. Diskretnaya Matematika, Tome 9 (1997) no. 3, pp. 43-51. http://geodesic.mathdoc.fr/item/DM_1997_9_3_a3/
@article{DM_1997_9_3_a3,
author = {A. S. Ambrosimov and A. N. Timashev},
title = {On a randomized approach to the construction of tests for the equiprobability of outcomes of a multinomial scheme},
journal = {Diskretnaya Matematika},
pages = {43--51},
year = {1997},
volume = {9},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_1997_9_3_a3/}
}
TY - JOUR
AU - A. S. Ambrosimov
AU - A. N. Timashev
TI - On a randomized approach to the construction of tests for the equiprobability of outcomes of a multinomial scheme
JO - Diskretnaya Matematika
PY - 1997
SP - 43
EP - 51
VL - 9
IS - 3
UR - http://geodesic.mathdoc.fr/item/DM_1997_9_3_a3/
LA - ru
ID - DM_1997_9_3_a3
ER -
%0 Journal Article
%A A. S. Ambrosimov
%A A. N. Timashev
%T On a randomized approach to the construction of tests for the equiprobability of outcomes of a multinomial scheme
%J Diskretnaya Matematika
%D 1997
%P 43-51
%V 9
%N 3
%U http://geodesic.mathdoc.fr/item/DM_1997_9_3_a3/
%G ru
%F DM_1997_9_3_a3
We consider the most powerful test and the $\chi^2$ test for verifying equiprobability of the outcomes of multinomial scheme in the case where the alternative distribution is obtained by averaging all non-equiprobable multinomial distributions with $N$ outcomes over the symmetric $(N-1)$-dimensional Dirichlet distribution. Limit theorems on the convergence of the distributions of the test statistics under both of the hypotheses are proved.
