کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1155234 | 958458 | 2008 | 7 صفحه PDF | دانلود رایگان |

In this paper, we study the almost sure convergence for ρ˜-mixing sequences of random variables. As a result, the authors improve the corresponding results of Yang [Yang, Shanchao, 1998. Some moment inequalities for partial sums of random variables and their applications. Chinese Sci. Bull. 43 (17), 1823–1827], Gan [Gan, Shixin, 2004. Almost sure convergence for ρ˜-mixing random variable sequences. Statist. Probab. Lett. 67, 289–298], and Wu [Wu, Qunying, 2001. Some convergence properties for ρ˜-mixing sequences. J. Engng. Math. 18 (3), 58–64 (in Chinese)]. We extend the classical Khintchine–Kolmogorov convergence theorem, the Marcinkiewicz strong law of large numbers, and the three series theorem for independent sequences of random variables to ρ˜-mixing sequences of random variables without necessarily adding any extra conditions.
Journal: Statistics & Probability Letters - Volume 78, Issue 8, 1 June 2008, Pages 1017–1023