A strong limit theorem for sequences of blockwise and pairwise m-dependent random variables

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참고문헌 (28)

1. A. Adler, "Some strong laws of large numbers for sums of random elements", Bull. Inst. Math. Acad. Sinica, 20(4), pp.335~357 (1992)
2. A. Bose, "Cesaro uniform integrability and Lp convergence", Sankhya Ser. A, 55, pp.12~28 (1993)
3. T. K. Chandra, "Cesaro uniform integrability and the strong law of large numbers", Sankhya Ser. A, 54, pp.215~231 (1992)
4. B. D. Choi, "On convergence of (Sn-ESn)=n1=r, 1 < r < 2, for pairwise independent random variables", Bull. Korean Math. Soc, 22(2), pp.79~82 (1985)
5. S. Csorgo, "On the strong law of large numbers for pairwise independent random variables", Acta Math. Hungar, 42(3), pp.319~330 (1983)
6. E. B. Czerebak-Mrozowicz, "Marcinkiewicz-type strong law of large numbers for pairwise independent random fields", Probab. Math. Statist, 22(2), pp.127~139 (2002)
7. N, Etemadi, "An elementary proof of the strong law of large numbers", Z. Wahrsch. Verw. Gebiete, 55(1), pp.119~122 (1981)
8. I. Fazekas, "Strong laws of large numbers for pairwise independent random variables with multidimensional indices", Publ. Math. Debrecen, 53(1), pp.149~161 (1998)
9. V. F. Gaposhkin, "On the strong law of large numbers for blockwise independent and blockwise orthogonal random variables", Theory Probab. Appl, 39, pp.667~684 (1995)
10. S. Geisser, "Pairwise independence of jointly dependent variables", Ann. Math. Statist, 33, pp.290~291 (1962)
11. M. Harber, "Testing for pairwise independence", Biometrics, 42, pp.429~435 (1986)
12. D. H. Hong, "Marcinkiewicz-type strong law of large numbers for double arrays of pairwise independent random variables", Int. J. Math. Math. Sci, 22(1), pp.171~177 (1999)
13. T. C. Hu, "On pairwise independent and independent exchangeable random variables", Stochastic Anal. Appl, 15(1), pp.51~57 (1997)
14. V. M. Kruglov, "Growth of sums of pairwise independent random variables with infinite means", Theory Probab. Appl, 51(2), pp.359~362 (2007)
15. V. M. Kruglov, "A strong law of large numbers for pairwise independent identically distributed randV. M. Kruglovom variables with infinite means", Statist. Probab. Lett, 78(7), pp.890~895 (2008)
16. D. Li, "On the strong law of large numbers for sequences of pairwise negative quadrant dependent random variables", Bull. Inst. Math. Acad. Sin. (N.S.), 1(2), pp.281~305 (2006)
17. D. Li, "Strong limit theorems for blockwise m-dependent random vari- ables and a generalization of the conjectures of Moricz", Chinese Ann. Math. Ser. B, 12(2), pp.192~201 (1991)
18. A. Martikainen, "On the strong law of large numbers for sums of pairwise independent random variables", Statist, Probab. Lett, 25(1), pp.21~26 (1995)
19. F. Moricz, "SLLN and convergence rates for nearly orthogonal sequences of random variables", Proc. Amer. Math. Soc, 95(2), pp.287~294 (1985)
20. F. Moricz, "Strong limit theorems for blockwise m-dependent and blockwise quasi-orthogonal sequences of random variables", Proc. Amer. Math. Soc, 101(4), pp.709~715 (1987)
21. G. L. O'Brien, "Pairwise independent random variables", Ann. Probab, 8(1), pp.170~175 (1980)
22. A. Rosalsky, "Strong stability of normed weighted sums of pairwise i.i.d. random vari- ables", Bull. Inst. Math. Acad. Sinica, 15(2), pp.203~219 (1987)
23. A. Rosalsky, "On the strong law of large numbers for sequences of blockwise independent and blockwise p-orthogonal random elements in Rademacher type p Banach spaces", Probab. Math. Statist, 27(2), pp.205~222 (2007)
24. 성수학, "Weak laws of large numbers for arrays under a condition of uniform integrability", 대한수학회지, 45(1), pp.289~300 (2008), 대한수학회
25. L. V. Thanh, "Strong laws of large numbers for sequences of blockwise and pairwise m- dependent random variables", Bull. Inst. Math. Acad. Sinica, 33(4), pp.397~405 (2005)
26. L. V. Thanh, "On the Brunk-Chung type strong law of large numbers for sequences of blockwise m-dependent random variables", ESAIM Probab. Stat, 10, pp.258~268 (2006)
27. D. Wei, "Convergence of weighted sums of tight random elements", J. Multivariate Anal, 8(2), pp.282~294 (1978)
28. A. Wigderson, "The amazing power of paiwise independence", Proceedings of the twentysixth annual ACM symposium on Theory of Computing, Stoc, pp.645~647 (1994)

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