کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1153050 1489900 2010 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some limit properties for the mmth-order nonhomogeneous Markov chains indexed by an mm rooted Cayley tree
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آمار و احتمال
پیش نمایش صفحه اول مقاله
Some limit properties for the mmth-order nonhomogeneous Markov chains indexed by an mm rooted Cayley tree
چکیده انگلیسی

In this paper, we first study a convergence theorem for a finite mmth-order nonhomogeneous Markov chain indexed by an mm rooted Cayley tree. As corollaries, we obtain some limit theorems for the frequencies of occurrence of states for this Markov chain. Finally, we obtain the strong law of large numbers (LLN) and the Shannon–McMillan theorem for a class of finite mmth-order nonhomogeneous Markov chains indexed by an mm rooted Cayley tree.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 80, Issues 15–16, 1–15 August 2010, Pages 1223–1233
نویسندگان
, ,