References
- Chow, Y. S. 1988. On the rate of moment convergence of sample sums and extremes. Bulletin of the Institute of Mathematics, Academia Sinica 16:177–201.
- Fazekas, I. 2005. Burkholder’s inequality for multiindex martingales. Annales Mathematicae et Informaticae 32:45–51.
- Gut, A. 1978. Marcinkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices. The Annals of Probability 6 (3):469–82. doi:10.1214/aop/1176995531.
- Gut, A. 1992. Complete convergence for arrays. Periodica Mathematica Hungarica 25 (1):51–75. doi:10.1007/BF02454383.
- Gut, A., and A. Spătaru. 2003. Precise asymptotics in some strong limit theorems for multidimensionally indexed random variables. Journal of Multivariate Analysis 86 (2):398–422. doi:10.1016/S0047-259X(03)00050-2.
- Gut, A., and U. Stadtmüller. 2012. On the Hsu-Robbins-Erdös-Spitzer-Baum-Katz theorem for random fields. Journal of Mathematical Analysis and Applications 387 (1):447–63. doi:10.1016/j.jmaa.2011.09.010.
- Hsu, P. L., and H. Robbins. 1947. Complete convergence and the law of large numbers. Proceedings of the National Academy of Sciences of the United States of America 33 (2):25–31. doi:10.1073/pnas.33.2.25.
- Ko, M. H. 2013. The complete convergence for weighted sums of dependent random fields. Journal of Inequalities and Applications 348, 8 pages.
- Kuczmaszewska, A., and Z. Lagodowski. 2011. Convergence rates in the SLLN for some class of dependent random fields. Journal of Mathematical Analysis and Applications 380 (2):571–84. doi:10.1016/j.jmaa.2011.03.042.
- Peligrad, M., and A. Gut. 1999. Almost sure results for a class of dependent random variables. Journal of Theoretical Probability 12 (1):87–104. doi:10.1023/A:1021744626773.
- Shorack, G. R., and R. T. Smythe. 1976. Inequalities for max|Sk|/bk where k∈Nr. Proceedings of the American Mathematical Society 54:331–6.
- Smythe, R. T. 1974. Sums of independent random variables on partially ordered sets. The Annals of Probability 2 (5):906–17. doi:10.1214/aop/1176996556.