|
This article is cited in 4 scientific papers (total in 4 papers)
A power divergence test in the problem of sample homogeneity for a large number of outcomes and trials
A. P. Baranov, Yu. A. Baranov
Abstract:
In order to test homogeneity of $r$ independent polynomial schemes with the same number
of outcomes $N$ under non-classical conditions where the numbers of trials
$n_d$, $d=1,\dots,r$, in each of the schemes and the number of outcomes $N$ tend to infinity,
we suggest a statistic $I(\lambda,r)$
which is a multidimensional analogue of the statistic $I(\lambda)$ introduced by
T. Read and N. Cressie.
We obtain conditions of asymptotic normality of the distributions of
the statistics $I(\lambda)$ and $I(\lambda,r)$ for an arbitrary fixed integer
$\lambda$, $\lambda\ne 0,-1$, as $N\to\infty$, $n_dN^{-1}\to\infty$, $d=1,\dots,r$.
The expressions for the centring and normalising parameters
are given in the explicit form for the hypothesis $H_0$ under which
the distributions in these $r$ schemes coincide, and for some class of alternatives
close to $H_0$.
Received: 20.02.2005
Citation:
A. P. Baranov, Yu. A. Baranov, “A power divergence test in the problem of sample homogeneity for a large number of outcomes and trials”, Diskr. Mat., 17:2 (2005), 19–48; Discrete Math. Appl., 15:3 (2005), 211–240
Linking options:
https://www.mathnet.ru/eng/dm96https://doi.org/10.4213/dm96 https://www.mathnet.ru/eng/dm/v17/i2/p19
|
Statistics & downloads: |
Abstract page: | 770 | Full-text PDF : | 272 | References: | 79 | First page: | 1 |
|