On the convergence rates in the asymmetric SLLN for independent and nonidentically distributed random fields
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Link
http://link.springer.com/content/pdf/10.1186/1029-242X-2014-220.pdf
Reference7 articles.
1. Kuczmaszewska A, Łagodowski ZA: Convergence rates in the SLLN for some classes of dependent random fields. J. Math. Anal. Appl. 2011, 380: 571–584. 10.1016/j.jmaa.2011.03.042
2. Gut A: Marcinkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices. Ann. Probab. 1978, 6: 469–482. 10.1214/aop/1176995531
3. Gut A: Convergence rates for probabilities of moderate deviations for sums of random variables with multidimensional indices. Ann. Probab. 1980, 8: 298–313. 10.1214/aop/1176994778
4. Thanh L: On the strong law of large numbers for d -dimensional arrays of random variables. Electron. Commun. Probab. 2007, 12: 434–441.
5. Gut A, Stadtmüller U: An asymmetric Marcinkiewicz-Zygmund LLN for random fields. Stat. Probab. Lett. 2009, 79: 1016–1020. 10.1016/j.spl.2008.12.006
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