一类非齐次树上可列状态可尔可夫链场若干强极限定理

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3、reemodelhascausedextensiveinterestinthefieldsofPhysics,Probabilitytheory,InformationtheoryandFinancialmathematics,treeindexedrandomprocessisoneoftheresearchdirectionforstudyingintheprobabilitytheory.Andthelimittheoremsisoneofthecentralquestionsforstudyi

4、ngintheInternationalPtobabilitytheory.Inthispaper,convergencealmosteverywherewasstudiedbyconstructinganon-negativesupermartingaleandmartingaledifferencesequences,andusingtheDoobmartingaleandmartingaledifferencesequencesconvergencetheorem.Inthesecondchapt

5、er,firstwegavethedefinitionsofthetreemodelandaspecialkindofnon-homogeneoustree,thenthedefinitionofitsnon-homogeneousMarkovchainswasgaven.Inthethirdchapter,somestronglimittheoremsfornon-homogeneousMarkovchainswithcountablestatesbyakindofspecialnon-homogene

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7、Markovchainssystemwereobtained.Inthelastchapter,wesummedupwhatwehavedoneinthispaper.KEYWORDS:non-homogeneousMarkovchains,non-negativesupermartin-gale,randomselectionsystem,stronglimittheoremii
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