참고문헌
- A. de Acosta, Inequalities for B-valued random vectors with applications to the strong law of large numbers, Ann. Probab. 9 (1981), no. 1, 157-161 https://doi.org/10.1214/aop/1176994517
- P. Erdos, On a theorem of Hsu and Robbins, Ann. Math. Statist. 20 (1949), 286-291 https://doi.org/10.1214/aoms/1177730037
- A. Gut, Complete convergence, Asymptotic Statistics, In: Proceedings of the Fifth Prague Symposium, September 4-9, 1993, Physica-Verlag, Wutzburg (1994), 237-247
- J. Hoffmann-Jorgensen, Sums of independent Banach space valued random variables, Studia Math. 52 (1974), 159-186 https://doi.org/10.4064/sm-52-2-159-186
- P. L. Hsu and H. Robbins, Complete convergence and the law of large numbers, Proc. Nat. Acad. Sci. U. S. A. 33 (1947), 25-31 https://doi.org/10.1073/pnas.33.2.25
- T.-C. Hu, M. Ordonez Cabrera, S. H. Sung, and A. Volodin, Complete convergence for arrays of rowwise independent random variables, Commun. Korean Math. Soc. 18 (2003), no. 2, 375-383 https://doi.org/10.4134/CKMS.2003.18.2.375
- T.-C. Hu, A. Rosalsky, D. Szynal, and A. Volodin, On complete convergence for arrays of rowwise independent random elements in Banach spaces, Stochastic Anal. Appl. 17 (1999), no. 6, 963-992 https://doi.org/10.1080/07362999908809645
- T.-C. Hu, D. Szynal, and A. Volodin, A note on complete convergence for arrays, Statist. Probab. Lett. 38 (1998), no. 1, 27-31 https://doi.org/10.1016/S0167-7152(98)00150-3
- T.-C. Hu and A. Volodin, Addendum to 'A note on complete convergence for arrays', Statist. Probab. Lett. 47 (2000), no. 2, 209-211 https://doi.org/10.1016/S0167-7152(99)00209-6
- N. C. Jain, Tail probabilities for sums of independent Banach space valued random variables, Z. Wahrsch. Verw. Gebiete 33 (1975), no. 3, 155-166 https://doi.org/10.1007/BF00534961
- A. Kuczmaszewska, On some conditions for complete convergence for arrays, Statist. Probab. Lett. 66 (2004), no. 4, 399-405 https://doi.org/10.1016/j.spl.2003.11.010
- J. Kuelbs and J. Zinn, Some stability results for vector valued random variables, Ann. Probab. 7 (1979), no. 1, 75-84 https://doi.org/10.1214/aop/1176995149
- M. Ledoux and M. Talagrand, Probability in Banach spaces, Springer, Berlin, 1991
- S. H. Sung, A. Volodin, and T.-C. Hu, More on complete convergence for arrays, Statist. Probab. Lett. 71 (2005), no. 4, 303-311 https://doi.org/10.1016/j.spl.2004.11.006
- T. Tomacs, Convergence rates in the law of large numbers for arrays of Banach space valued random elements, Statist. Probab. Lett. 72 (2005), no. 1, 59-69 https://doi.org/10.1016/j.spl.2004.12.003
피인용 문헌
- COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF RANDOM ELEMENTS vol.47, pp.2, 2010, https://doi.org/10.4134/BKMS.2010.47.2.369
- Some complete convergence results for row sums from arrays of rowwise independent random elements in Rademacher type p Banach spaces vol.32, pp.1, 2011, https://doi.org/10.1134/S1995080211010112
- A Note on Complete Convergence for Arrays of Rowwise Independent Banach Space Valued Random Elements vol.28, pp.3, 2010, https://doi.org/10.1080/07362991003708713