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A class of strong limit theorems for nonhomogeneous Markov chains indexed by a generalized Bethe tree on a generalized random selection system
We study strong limit theorems for a bivariate function sequence of an nonhomogeneous Markov chain indexed by a generalized Bethe tree on a generalized random selection system by constructing a nonnegative martingale. As corollaries, we generalize results of Yang and Ye and obtain some limit theorem...
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Інститут математики НАН України
2011
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| Series: | Український математичний журнал |
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| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/166382 |
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irk-123456789-1663822020-02-20T01:26:46Z A class of strong limit theorems for nonhomogeneous Markov chains indexed by a generalized Bethe tree on a generalized random selection system Kangkang Wang Статті We study strong limit theorems for a bivariate function sequence of an nonhomogeneous Markov chain indexed by a generalized Bethe tree on a generalized random selection system by constructing a nonnegative martingale. As corollaries, we generalize results of Yang and Ye and obtain some limit theorems for frequencies of states, ordered couples of states, and the conditional expectation of a bivariate function on Cayley tree. Вивчаються сильнi граничнi теореми для послiдовностi функцiй двох змiнних неоднорiдного марковського ланцюжка, що проiндексований узагальненим деревом Бете на узагальненiй системi випадкового вибору, шляхом побудови невiд’ємного мартингала. Як наслiдок, узагальнено результати Янга та Є i отримано деякi граничнi теореми для частот станiв, упорядкованих пар та умовного сподiвання функцiї двох змiнних на деревi Келi. 2011 Article A class of strong limit theorems for nonhomogeneous Markov chains indexed by a generalized Bethe tree on a generalized random selection system / Kangkang Wang // Український математичний журнал. — 2011. — Т. 63, № 10. — С. 1336–1351. — Бібліогр.: 11 назв. — англ. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/166382 519.21 en Український математичний журнал Інститут математики НАН України |
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| language |
English |
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Статті Статті |
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Статті Статті Kangkang Wang A class of strong limit theorems for nonhomogeneous Markov chains indexed by a generalized Bethe tree on a generalized random selection system Український математичний журнал |
| description |
We study strong limit theorems for a bivariate function sequence of an nonhomogeneous Markov chain indexed by a generalized Bethe tree on a generalized random selection system by constructing a nonnegative martingale. As corollaries, we generalize results of Yang and Ye and obtain some limit theorems for frequencies of states, ordered couples of states, and the conditional expectation of a bivariate function on Cayley tree. |
| format |
Article |
| author |
Kangkang Wang |
| author_facet |
Kangkang Wang |
| author_sort |
Kangkang Wang |
| title |
A class of strong limit theorems for nonhomogeneous Markov chains indexed by a generalized Bethe tree on a generalized random selection system |
| title_short |
A class of strong limit theorems for nonhomogeneous Markov chains indexed by a generalized Bethe tree on a generalized random selection system |
| title_full |
A class of strong limit theorems for nonhomogeneous Markov chains indexed by a generalized Bethe tree on a generalized random selection system |
| title_fullStr |
A class of strong limit theorems for nonhomogeneous Markov chains indexed by a generalized Bethe tree on a generalized random selection system |
| title_full_unstemmed |
A class of strong limit theorems for nonhomogeneous Markov chains indexed by a generalized Bethe tree on a generalized random selection system |
| title_sort |
class of strong limit theorems for nonhomogeneous markov chains indexed by a generalized bethe tree on a generalized random selection system |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| topic_facet |
Статті |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/166382 |
| citation_txt |
A class of strong limit theorems for nonhomogeneous Markov chains indexed by a generalized Bethe tree on a generalized random selection system / Kangkang Wang // Український математичний журнал. — 2011. — Т. 63, № 10. — С. 1336–1351. — Бібліогр.: 11 назв. — англ. |
| series |
Український математичний журнал |
| work_keys_str_mv |
AT kangkangwang aclassofstronglimittheoremsfornonhomogeneousmarkovchainsindexedbyageneralizedbethetreeonageneralizedrandomselectionsystem AT kangkangwang classofstronglimittheoremsfornonhomogeneousmarkovchainsindexedbyageneralizedbethetreeonageneralizedrandomselectionsystem |
| first_indexed |
2023-10-18T22:18:20Z |
| last_indexed |
2023-10-18T22:18:20Z |
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1796155168557891584 |