کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8900132 | 1631556 | 2018 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Strong law of large numbers and Chover's law of the iterated logarithm under sub-linear expectations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Strong law of large numbers and Chover's law of the iterated logarithm under sub-linear expectations Strong law of large numbers and Chover's law of the iterated logarithm under sub-linear expectations](/preview/png/8900132.png)
چکیده انگلیسی
Limit theorems for sub-linear expectations are challenging field which have raised a large number of issues of interest recently. The aim of this paper is to establish general strong law of large numbers and the Chover's law of the iterated logarithm for a sequence of random variables under a sub-linear expectation space. As applications, several results on strong laws of large numbers which contain Marcinkiewicz strong law of large numbers and the Chover's law of the iterated logarithm for extended independence and identically distributed random variables have been generalized to the sub-linear expectation space context. Our results of strong laws of large numbers are more general than some related results previously reported obtained by Zhang (2016) [23], Cheng (2016) [5], Liu et al. (2015) [10] and Chen (2016) [3]. There is no report on the Chover's law of the iterated logarithm under sub-linear expectation, and we provide a method to study this subject.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 460, Issue 1, 1 April 2018, Pages 252-270
Journal: Journal of Mathematical Analysis and Applications - Volume 460, Issue 1, 1 April 2018, Pages 252-270
نویسندگان
Qunying Wu, Yuanying Jiang,