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/

[1] Selivanov B. I., Chistyakov V. P., “Posledovatelnyi $\chi^2$-kriterii, postroennyi po $s$-tsepochkam sostoyanii tsepi Markova”, Diskretnaya matematika, 9:4 (1997), 127–136 | MR | Zbl

[2] Tikhomirova M. I., Chistyakov V. P., “O nekotorykh statistikakh tipa $\chi^2$, funktsionalno zavisyaschikh ot otsenok neizvestnykh parametrov”, Diskretnaya matematika, 17:1 (2005), 22–34 | MR | Zbl

[3] Feller V., Vvedenie v teoriyu veroyatnostei i ee prilozheniya, T. 1, Mir, Moskva, 1984 | Zbl

[4] Dik J. J., de Gunst M. C. M., “The distribution of general quadratic form in normal variables”, Stat. Neerl., 39:1 (1985), 14–26 | DOI | MR | Zbl