We consider a weak convergence of the power
divergence family of statistics
$\{T_{\lambda}(\boldsymbol{Y}),\lambda\in\mathbb{R}\}$ constructed
from the multinomial distribution of degree $k$, to chi-squared
distribution with $k-1$ degrees of freedom. We show that
\Pr(T_{\lambda}(\boldsymbol{Y})
Publié le : 2009-03-15
Classification:
E. Hlawka's theorem,
weak convergence,
Gaussian curvature,
manifold,
approximation by chi-squared distribution,
power divergence family of statistics,
62E20,
62H10,
52A20
@article{1237392382,
author = {Ulyanov, Vladimir V. and Zubov, Vasily N.},
title = {Refinement on the convergence of one family of goodness-of-fit statistics to chi-squared distribution},
journal = {Hiroshima Math. J.},
volume = {39},
number = {1},
year = {2009},
pages = { 133-161},
language = {en},
url = {http://dml.mathdoc.fr/item/1237392382}
}
Ulyanov, Vladimir V.; Zubov, Vasily N. Refinement on the convergence of one family of goodness-of-fit statistics to chi-squared distribution. Hiroshima Math. J., Tome 39 (2009) no. 1, pp. 133-161. http://gdmltest.u-ga.fr/item/1237392382/