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Some characteristics of dependencies in discrete random sequences. (English. Russian original) Zbl 1394.62054

Discrete Math. Appl. 18, No. 2, 173-180 (2008); translation from Diskretn. Mat. 20, No. 1, 151-158 (2008).
Summary: For some \(\chi ^{2}\)-type statistics used to find dependencies between random variables in a sequence under study, we obtain limit theorems in the case where the sample size tends to infinity.

MSC:

62G10 Nonparametric hypothesis testing
62E20 Asymptotic distribution theory in statistics
60F05 Central limit and other weak theorems
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References:

[1] Selivanov B. I., Discrete Math. Appl. 7 pp 523– (1997) · Zbl 0979.62056 · doi:10.1515/dma.1997.7.5.523
[2] Tikhomirova M. I., Discrete Math. Appl. 15 pp 33– (2005)
[3] Dik J. J., Stat. Neerl. 39 (1) pp 14– (1985) · Zbl 0591.62043 · doi:10.1111/j.1467-9574.1985.tb01121.x
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