کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6418737 | 1339347 | 2014 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Strong laws of large numbers for asymptotic even-odd Markov chains indexed by a homogeneous tree
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
In this paper, we are going to study the strong laws of large numbers for asymptotic even-odd Markov chains indexed by a homogeneous tree. First, the definition of the asymptotic even-odd Markov chain is introduced. Then the strong limit theorem for asymptotic even-odd Markov chains indexed by a homogeneous tree is established. Next, the strong laws of large numbers for the frequencies of occurrence of states and ordered couple of states for asymptotic even-odd Markov chains indexed by a homogeneous tree are obtained. Finally, we prove the asymptotic equipartition property (AEP) for these Markov chains.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 410, Issue 1, 1 February 2014, Pages 179-189
Journal: Journal of Mathematical Analysis and Applications - Volume 410, Issue 1, 1 February 2014, Pages 179-189
نویسندگان
Weiguo Yang, Yang Zhao, Heng Pan,