Wang, Xuejun; Hu, Shuhe; Shen, Yan; Yang, Wenzhi Some new results for weakly dependent random variable sequences. (English) Zbl 1240.60085 Chin. J. Appl. Probab. Stat. 26, No. 6, 637-648 (2010). Summary: Let \(\{X_n,n\geq 1\}\) be a \(\widetilde{\rho}\)-mixing random variable sequence. By using the truncation method of random variables and the three series theorem for \(\widetilde{\rho}\)-mixing sequences, the convergence properties of \(\widetilde{\rho}\)-mixing sequence are discussed, and a class of strong limit theorems for \(\widetilde{\rho}\)-mixing sequences are obtained, which generalize the corresponding results for independent sequences. At last, the strong stability for weighted sums of \(\widetilde{\rho}\)-mixing sequences is studied. Cited in 2 Documents MSC: 60F15 Strong limit theorems Keywords:strong limit theorems; \(\widetilde{\rho}\)-mixing sequence; convergence property; strong stability; weighted sums PDFBibTeX XMLCite \textit{X. Wang} et al., Chin. J. Appl. Probab. Stat. 26, No. 6, 637--648 (2010; Zbl 1240.60085)