The central limit theorem for $\rho$-mixing series patterns
Matematičeskie zametki, Tome 57 (1995) no. 6, pp. 842-850.

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     title = {The central limit theorem for $\rho$-mixing series patterns},
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A. G. Grin'. The central limit theorem for $\rho$-mixing series patterns. Matematičeskie zametki, Tome 57 (1995) no. 6, pp. 842-850. http://geodesic.mathdoc.fr/item/MZM_1995_57_6_a3/

[1] Loev M., Teoriya veroyatnostei, IL, M., 1962

[2] Ibragimov I. A., “Zamechanie o tsentralnoi predelnoi teoreme dlya zavisimykh sluchainykh velichin”, Teor. veroyatn. i ee primen., 20:1 (1975), 134–140 | MR | Zbl

[3] Bradley R., “A central limit theorem for stationary $\rho $-mixing sequences with infinite variance”, Ann. Probab., 16:1 (1988), 313–332 | DOI | MR | Zbl

[4] Ibragimov I. A., Linnik Yu. V., Nezavisimye i statsionarno svyazannye velichiny, Nauka, M., 1965

[5] Bradley R., “The central limit question under $\rho $-mixing”, Rocky Mountain J. Math., 17 (1987), 95–114 | MR | Zbl

[6] Utev S. A., “Ob odnom sposobe issledovaniya summ slabozavisimykh velichin”, Sib. matem. zhurn., 32:4 (1991), 165–183 | MR

[7] Utev S. A., “Summy sluchainykh velichin s $\rho $-peremeshivaniem”, Asimptoticheskii analiz raspredelenii sluchainykh protsessov, Tr. AN Sib. otd., 13, In-t Matematiki, 1989, 78–92 | MR

[8] Utev S. A., Grin A. G., “Nizhnie otsenki dlya dispersii summ slabozavisimykh velichin”, Sib. matem. zhurn., 35:1 (1994), 210–220 | MR | Zbl

[9] Petrov V. V., Predelnye teoremy dlya summ nezavisimykh sluchainykh velichin, Nauka, M., 1987