期刊文献+

Complete Convergence for (α,β)-Mixing Random Variables Sequences

Complete Convergence for (α,β)-Mixing Random Variables Sequences
原文传递
导出
摘要 The convergence properties are studied through the analysis of (α,β)-mixing random variables sequences in different situations. By using the corresponding inequality, a convergence theorem was presented, and some results for (α,β)-mixing random variables sequences with different distributions were obtained. The results extend the corresponding theorems of independent random variable sequences. The convergence properties are studied through the analysis of (α,β)-mixing random variables sequences in different situations. By using the corresponding inequality, a convergence theorem was presented, and some results for (α,β)-mixing random variables sequences with different distributions were obtained. The results extend the corresponding theorems of independent random variable sequences.
作者 YANG Yanzhao
出处 《Wuhan University Journal of Natural Sciences》 CAS 2013年第4期327-330,共4页 武汉大学学报(自然科学英文版)
基金 Supported by the Natural Science Foundation of Shandong Province(ZR2010FL016)
关键词 complete convergence (α β)-mixing random variables strong law of large numbers complete convergence (α β)-mixing random variables strong law of large numbers
  • 相关文献

参考文献4

二级参考文献24

  • 1王定成,苏淳.B值独立同分布随机变元序列的矩完全收敛性[J].应用数学学报,2004,27(3):440-448. 被引量:30
  • 2杨小云.一类独立B值随机元的完全收敛性[J].数学学报(中文版),1993,36(6):817-825. 被引量:2
  • 3杨善朝.混合序列加权和的强收敛性[J].系统科学与数学,1995,15(3):254-265. 被引量:51
  • 4白志东 苏淳.关于独立和的完全收敛性[J].中国科学:A辑,1985,(5):399-412.
  • 5Hsu, P.L. and Robbins, H., Complete convergence and the law of large numbers, Proc. Nat. Acad. Sci. U.S.A., 33(2)(1947), 25-31.
  • 6Baum, L.E. and Katz, M., Convergence rate in the law of large numbers, Trans. Amer. Math. Soc., 120(1)(1965), 108-123.
  • 7Hu, T.-C., Rosalsky, A., Szynal, D. and Volodin, A.I., On Complete convergence for arrays of rowwise independent random elements in Banach spaces, Stoch. Anal. Appl., 17(6)(1999), 963-992.
  • 8Chen, P., Sung, S.H. and Volodin, A.I., Rate of complete convergence for arrays of banach space valued random elements, S. Adv. Math., 16(3)(2006), 1-14.
  • 9Sung, S.H. and Volodin, A.I., On the rate of complete convergence for weighted sums of arrays of random elements, J. Korean Math., 43(4)(2006), 815-828.
  • 10Ahmed, S.E., Giuliano Antonini R. and Volodin, A.I., On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements with application to moving average processes, Statist. Probab. Lett., 58(2)(2002), 185-194.

共引文献13

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部