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This article is cited in 2 scientific papers (total in 2 papers)
Moving chi-square
M. I. Tikhomirova, V. P. Chistyakov
Abstract:
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 $t_1<t_2<\dots<t_r$ 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.
Received: 03.05.2000
Citation:
M. I. Tikhomirova, V. P. Chistyakov, “Moving chi-square”, Diskr. Mat., 12:4 (2000), 46–52; Discrete Math. Appl., 10:5 (2000), 469–475
Linking options:
https://www.mathnet.ru/eng/dm349https://doi.org/10.4213/dm349 https://www.mathnet.ru/eng/dm/v12/i4/p46
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Abstract page: | 383 | Full-text PDF : | 220 | References: | 44 | First page: | 1 |
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