Geodesic
On minimal conditions of the weak dependence in limit theorems for stationary sequences
Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 2, pp. 344-354 Cet article a éte moissonné depuis la source Math-Net.Ru

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     author = {A. G. Grin'},
     title = {On minimal conditions of the weak dependence in limit theorems for stationary sequences},
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A. G. Grin'. On minimal conditions of the weak dependence in limit theorems for stationary sequences. Teoriâ veroâtnostej i ee primeneniâ, Tome 54 (2009) no. 2, pp. 344-354. http://geodesic.mathdoc.fr/item/TVP_2009_54_2_a8/

[1] Grin A. G., “O minimalnom uslovii slaboi zavisimosti v tsentralnoi predelnoi teoreme dlya statsionarnykh posledovatelnostei”, Teoriya veroyatn. i ee primen., 47:3 (2002), 554–558 | MR | Zbl

[2] Loev M., Teoriya veroyatnostei, IL, M., 1962, 719 pp.

[3] Seneta E., Pravilno menyayuschiesya funktsii, Nauka, M., 1985, 141 pp. | MR | Zbl

[4] Ibragimov I. A., Linnik Yu. V., Nezavisimye i statsionarno svyazannye velichiny, Nauka, M., 1965, 524 pp.

[5] Grin A. G., “Normiruyuschie posledovatelnosti v predelnykhteoremakh dlya slabo zavisimykh velichin”, Teoriya veroyatn. i ee primen., 36:2 (1991), 285–300 | MR

[6] Dehling H., Denker M., Philipp W., “Central limit theorems for mixing sequences of random variables under minimal conditions”, Ann. Probab., 14:4 (1986), 1359–1370 | DOI | MR | Zbl

[7] Feller V., Vvedenie v teoriyu veroyatnostei i ee prilozheniya, T. 2, Mir, M., 1984, 751 pp.

[8] Grin A. G., “Oblasti prityazheniya dlya posledovatelnostei s peremeshivaniem”, Sib. matem. zhurn., 31:1 (1990), 53–63 | MR

[9] Grin A. G., “Ob oblastyakh prityazheniya dlya summ zavisimykh velichin”, Teoriya veroyatn. i ee primen., 35:2 (1990), 255–270 | MR

[10] Billingsli P., Skhodimost veroyatnostnykh mer, Nauka, M., 1977, 351 pp. | MR