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@article{ZNSL_2004_320_a14,
author = {A. N. Frolov},
title = {On the law of the iterated logarithm for increments of sums of independent random variables},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {174--186},
year = {2004},
volume = {320},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_320_a14/}
}
A. N. Frolov. On the law of the iterated logarithm for increments of sums of independent random variables. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 8, Tome 320 (2004), pp. 174-186. http://geodesic.mathdoc.fr/item/ZNSL_2004_320_a14/
[1] A. N. Frolov, “Ob asimptoticheskom povedenii priraschenii summ nezavisimykh sluchainykh velichin”, Doklady Akademii Nauk, 372:5 (2000), 596–599 | MR | Zbl
[2] A. N. Frolov, “On one-sided strong laws for increments of sums of iid random variables”, Studia Sci. Math. Hungar., 39 (2002), 333–359 | MR | Zbl
[3] A. N. Frolov, “Predelnye teoremy dlya priraschenii summ nezavisimykh sluchainykh velichin”, Teoriya veroyatnostei i ee primeneniya, 48:1 (2003), 104–121 | MR | Zbl
[4] A. N. Frolov, “Silnye predelnye teoremy dlya priraschenii summ nezavisimykh sluchainykh velichin”, Zap. nauchn. semin. POMI, 311, 2004, 260–285 | Zbl
[5] A. N. Kolmogorov, “Über das Gesetz des iterierten Logarithmus”, Math. Ann., 101 (1929), 126–135 | DOI | MR
[6] P. Hartman, A. Wintner, “On the law of the iterated logarithm”, Amer. J. Math., 63 (1941), 169–176 | DOI | MR
[7] V. V. Petrov, Predelnye teoremy dlya summ nezavisimykh sluchainykh velichin, Nauka, M., 1987 | MR
[8] V. V. Petrov, “On the law of the iterated logarithm without assumptions about the existence of moments”, Proc. Nat. Acad. Sci. USA, 10 (1968), 1068–1072 | DOI | MR | Zbl
[9] V. A. Egorov, “O zakone povtornogo logarifma”, Teoriya veroyatnostei i ee primeneniya, 14:4 (1969), 722–729 | MR | Zbl
[10] V. A. Egorov, “Obobschenie teoremy Khartmana–Vintnera o zakone povtornogo logarifma”, Vestnik LGU, ser. matem., mekhan., astron., 1971, no. 2, 22–28 | MR | Zbl
[11] V. A. Egorov, “Neskolko teorem ob usilennom zakone bolshikh chisel i zakone povtornogo logarifma”, Teoriya veroyatnostei i ee primeneniya, 17:1 (1972), 84–98 | Zbl
[12] A. I. Martikainen, “Ob odnostoronnem zakone povtornogo logarifma”, Teoriya veroyatnostei i ee primeneniya, 30:4 (1985), 694–705 | MR | Zbl
[13] L. V. Rozovskii, “O zakone povtornogo logarifma dlya summ nezavisimykh sluchainykh velichin s konechnoi dispersiei”, Zap. nauchn. semin. POMI, 244, 1997, 257–270 | MR | Zbl
[14] M. Csörgő, P. Révész, Strong approximations in probability and statistics, Akadémiai Kiadó, Budapest, 1981 | Zbl
[15] V. Strassen, “An invariance principle for the law of the iterated logarithm”, Z. Wahrsch. Verw. Geb., 3 (1964), 211–226 | DOI | MR | Zbl
[16] A. N. Frolov, “Ob asimptoticheskom povedenii bolshikh priraschenii summ nezavisimykh sluchainykh velichin”, Teoriya veroyatnostei i ee primeneniya, 47:2 (2002), 366–374 | MR | Zbl
[17] A. I. Martikainen, V. V. Petrov, “O neobkhodimykh i dostatochnykh usloviyakh dlya zakona povtornogo logarifma”, Teoriya veroyatnostei i ee primeneniya, 22:1 (1977), 18–26 | MR | Zbl