کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1155234 958458 2008 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some strong limit theorems for ρ˜-mixing sequences of random variables
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آمار و احتمال
پیش نمایش صفحه اول مقاله
Some strong limit theorems for ρ˜-mixing sequences of random variables
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 78, Issue 8, 1 June 2008, Pages 1017–1023
نویسندگان
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