[1] Bai, Z. D., Cheng, P. E.: Marcinkiewicz strong laws for linear statistics. Stat. Probab. Lett. 46 (2000), 105-112. DOI 10.1016/S0167-7152(99)00093-0 | MR 1748864 | Zbl 0960.60026

[2] Cai, G. H.: Strong laws for weighted sums of NA random variables. Metrika 68 (2008), 323-331. DOI 10.1007/s00184-007-0160-5 | MR 2448963 | Zbl 1247.60036

[3] Cuzick, J.: A strong law for weighted sums of i.i.d. random variables. J. Theoret. Probab. 8 (1995), 3, 625-641. DOI 10.1007/BF02218047 | MR 1340830 | Zbl 0833.60031

[4] Chandra, T. K., Ghosal, S.: Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund for dependent variables. Acta. Math. Hung. 71 (1996), 4, 327-336. DOI 10.1007/BF00114421 | MR 1397560 | Zbl 0853.60032

[5] Hu, X. P., Fang, G. H., Zhu, D. J.: Strong convergence properties for asymptotically almost negatively associated sequence. Discrete Dyn. Nat. Soc. 2012 (2012), Article ID 562838, 8 pages, doi:10.1155/2012/562838. DOI 10.1155/2012/562838 | MR 2993321 | Zbl 1257.62066

[6] Ko, M. H., Kim, T. S., Lin, Z. Y.: The Hàjeck-Rènyi inequality for the AANA random variables and its applications. Taiwan. J. Math. 9 (2005), 1, 111-122. MR 2122907

[7] Shen, A. T., Wu, R. C.: Strong and weak convergence for asymptotically almost negatively associated random variables. Discrete Dyn. Nat. Soc. 2013 (2013), Article ID235012, 7 pages, doi:10.1155/2013/235012. DOI 10.1155/2013/235012 | MR 3037709 | Zbl 1269.60036

[8] Sung, S. H.: On the strong convergence for weighted sums of random variables. Statist. Pap. 52 (2011), 447-454. DOI 10.1007/s00362-009-0241-9 | MR 2795891 | Zbl 1247.60041

[9] Sung, S. H.: On the strong convergence for weighted sums of ${{\rho }^{*}}$-mixing random variables. Statist. Pap. 54 (2013), 773-781. DOI 10.1007/s00362-012-0461-2 | MR 3072900

[10] Tang, X. F.: Some strong laws of large numbers for weighted sums of asymptotically almost negatively associated random variables. J. Inequal. Appl. 2013 (2013), doi:10.1186/1029-242X-2013-4. DOI 10.1186/1029-242X-2013-4 | MR 3017340 | Zbl 1283.60052

[11] Wang, X. J., Hu, S. H., Shen, Y., Yang, W. Z.: Some new results for weakly dependent random variable sequences. Chinese J. Appl. Probab. Stat. 26 (2010), 6, 637-648. MR 2760173 | Zbl 1240.60085

[12] Wang, X. J., Hu, S. H., Yang, W. Z.: Complete convergence for arrays of rowwise negatively orthant dependent random variables. RACSAM 106 (2012), 2, 235-245. DOI 10.1007/s13398-011-0048-0 | MR 2978912 | Zbl 1260.60062

[13] Wang, X. J., Hu, S. H., Yang, W. Z.: Convergence properties for asymptotically almost negatively associated sequence. Discrete Dyn. Nat. Soc. 2010 (2010), Article ID 218380, 15 pages. MR 2770590 | Zbl 1207.60025

[14] Wang, X. J., Hu, S. H., Yang, W. Z.: Complete convergence for arrays of rowwise asymptotically almost negatively associated random variables. Discrete Dyn. Nat. Soc. 2011 (2011), Article ID 717126, 11 pages, doi: 10.1155/2011/717126. DOI 10.1155/2011/717126 | MR 2846463 | Zbl 1235.60026

[15] Wang, X. J., Hu, S. H., Yang, W. Z., Wang, X. H.: On complete convergence of weighted sums for arrays of rowwise asymptotically almost negatively associated random variables. Abstr. Appl. Anal 2012 (2012), Article ID 315138, 15 pages, doi:10.1155/2012/315138. DOI 10.1155/2012/315138 | MR 2947673 | Zbl 1253.60044

[16] Wang, X. J., Li, X. Q., Yang, W. Z., Hu, S. H.: On complete convergence for arrays of rowwise weakly dependent random variables. Appl. Math. Lett. 25 (2012), 11, 1916-1920. DOI 10.1016/j.aml.2012.02.069 | MR 2957779 | Zbl 1251.60025

[17] Wang, Y. B., Yan, J. G., Cheng, F. Y., Su, C.: The strong law of large numbers and the law of the iterated logarithm for product sums of NA and AANA random variables. Southeast Asian Bull. Math. 27 (2003), 2, 369-384. MR 2046474 | Zbl 1061.60031

[18] Yang, W. Z., Wang, X. J., Ling, N. X., Hu, S. H.: On complete convergence of moving average process for AANA sequence. Discrete Dyn. Nat. Soc. 2012 (2012), Article ID 863931, 24 pages, doi:10.1155/2012/863931. DOI 10.1155/2012/863931 | MR 2923400 | Zbl 1247.60043

[19] Wu, W. B.: On the strong convergence of a weighted sum. Stat. Probab. Lett. 44 (1999), 19-22. MR 1706378 | Zbl 0951.60027

[20] Wu, Q. Y.: Complete convergence for negatively dependent sequences of random variables. J. Inequal. Appl. 2010 (2010), Article ID 507293, 10 pages, doi: 10.1155/2010/507293. DOI 10.1155/2010/507293 | MR 2611036 | Zbl 1202.60050

[21] Wu, Q. Y.: A strong limit theorem for weighted sums of sequences of negatively dependent random variables. J. Inequal. Appl. 2010 (2010), Article ID 383805, 8 pages, doi: 10.1155/2010/383805. DOI 10.1155/2010/383805 | MR 2678912 | Zbl 1202.60044

[22] Yuan, D. M., An, J.: Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications. Sci. China (Ser. A): Mathematics 52 (2009), 9, 1887-1904. DOI 10.1007/s11425-009-0154-z | MR 2544995 | Zbl 1184.62099

[23] Yuan, D. M., An, J.: Laws of large numbers for Cesèaro alpha-integrable random variables under dependence condition AANA or AQSI. Acta Math. Sinica., English Series 28 (2012), 6, 1103-1118. DOI 10.1007/s10114-012-0033-3 | MR 2916326

[24] Yuan, D. M., Wu, X. S.: Limiting behavior of the maximum of the partial sum for asymptotically negatively associated random variables under residual Cesèaro alpha-integrability assumption. J. Stat. Plan. Inference 140 (2010), 9, 2395-2402. DOI 10.1016/j.jspi.2010.02.011 | MR 2644059

[25] Zhou, X. C., Tan, C. C., Lin, J. G.: On the strong laws for weighted sums of ${{\rho }^{*}}$-mixing random variables. J. Inequal. Appl. 2011 (2011), Article ID 157816, 8 pages, doi: 10.1155/2011/157816. DOI 10.1155/2011/157816 | MR 2775040 | Zbl 1216.60026