Previous |  Up |  Next

Article

References:
[1] BAI Z. D.-CHENG P. E.: Marcinkiewicz strong laws for linear statistics. Statist. Probab. Lett. 46 (2000), 105-112. MR 1748864 | Zbl 0960.60026
[2] BAXTER J.-JONES R.-LIN M.-OLSEN J.: SLLN for weighted independent indentically distributed random variables. J. Theoret. Probab. 17 (2004), 165-181. MR 2054584
[3] BRYC W.-SMOLENSKI W.: Moment conditions for almost sure convergence of weakly correlated random variables. Proc. Amer. Math. Soc. 2 (1993), 629-635. MR 1149969 | Zbl 0785.60018
[4] CHOI B. D.-SUNG S. H.: Almost sure convergence theorems of weighted sums of random variables. Stochastic Anal. Appl. 5 (1987), 365-377. MR 0912863 | Zbl 0633.60049
[5] CHOW Y. S.-TEICHER H.: Probability Theory: Independence, Inter changeability, Martingales. (3rd ed.), Springer-Verlag, New York, 1997. MR 1476912
[6] CUZICK J.: A strong law for weighted sums of i.i.d. random variables. J. Theoret. Probab. 8 (1995), 625-641. MR 1340830 | Zbl 0833.60031
[7] ERDÖS P.: On a theorem of Hsu-Robbins. Ann. Math. Statist. 20 (1949), 286-291. MR 0030714
[8] HSU P. L.-ROBBINS H.: Complete convergence and the law of larege numbers. Proc. Nat. Acad. Sci. (USA) 33 (1947), 25-31. MR 0019852
[9] JOAG D. K.-PROSCHAN F.: Negative associated of random variables with application. Ann. Statist. 11 (1983), 286-295. MR 0684886
[10] PELIGRAD M.: On the asymptotic normality of sequences of weak dependent random variables. J. Theoret. Probab. 9 (1996), 703-715. MR 1400595 | Zbl 0855.60021
[11] PELIGRAD M.: Maximum of partial sums and an invariance principle for a class weak depend random variables. Proc. Amer. Math. Soc. 126 (1998), 1181-1189. MR 1425136
[12] PELIGRAD M.-GUT A.: Almost sure results for a class of dependent random variables. J. Theoret. Probab. 12 (1999), 87-104. MR 1674972 | Zbl 0928.60025
[13] PETROV V. V.: Limit Theorems of Probability Theory Sequences of Independent Random Variables. Oxford Science Publications, Oxford, 1995. MR 1353441 | Zbl 0826.60001
[14] SHAO Q. M.: A comparison theorem on moment inequalities between Negatively associated and independent random variables. J. Theoret. Probab. 13 (2000), 343-356. MR 1777538 | Zbl 0971.60015
[15] STOUT W.: Almost Sure Convergence. Academic Press, New York, 1974. MR 0455094 | Zbl 0321.60022
[16] SUNG S. H.: Strong laws for weighted sums of i.i.d. random variables. Statist. Probab. Lett. 52 (2001), 413-419. MR 1841609 | Zbl 1027.60028
[17] UTEV S.-PELIGRAD M.: Maximal inequalities and an invariance principle for a class of weakly dependent random variables. J. Theoret. Probab. 16 (2003), 101-115. MR 1956823 | Zbl 1012.60022
[18] WU W. B.: On the strong convergence of a weighted sums. Statist. Probab. Lett 44 (1999), 19-22.
Partner of
EuDML logo