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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Strong laws of large numbers for asymptotic even-odd Markov chains indexed by a homogeneous tree
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
نویسندگان
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