Geodesic
Some characteristics of dependencies in discrete random sequences
Diskretnaya Matematika, Tome 20 (2008) no. 1, pp. 151-158

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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. 
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M. I. Tikhomirova. Some characteristics of dependencies in discrete random sequences. Diskretnaya Matematika, Tome 20 (2008) no. 1, pp. 151-158. http://geodesic.mathdoc.fr/item/DM_2008_20_1_a13/