一类非齐次树上马尔可夫链场的若干强大数定律

《一类非齐次树上马尔可夫链场的若干强大数定律》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、河北工业大学硕士学位论文一类非齐次树上马尔可夫链场的若干强大数定律姓名：钟燕燕申请学位级别：硕士专业：应用数学指导教师：金少华20081201U5mZtZb#Ds[;)n

2、Gx^2
mv
2v(;Z
&^`
E-`k2pZfBG&mA*

3、fB2*2f&^`fa=Gt&^`afC/

4、ifDÆk,bk&,fRi{4k,Ri;$g9T.DoobgbFq

5、;g9TfbFq;oZbFfadHhRmAd
+HfShannon-McMillanq;Æk=,m%z'bFf&
dHhRmAd
+H;fd^V!Ækw,4pfGdHhRmAd
+v
fd^V!Æk&,0Hp7hRmAd
+v
f9(Ypq[ÆkW,HRi`pg9T:zdmudm%z'bFd^d
+v
Ypq[iq8SnBe,

6、ENUMBERSFORMARKOVCHAINFIELDSONANON-HOMOGENEOUSTREEABSTRACTInrecentyearstreemodelhascausedextensiveinterestinthefieldsofPhysics,Probabilitytheory,InformationtheoryandFinancialmathematics,treeindexedrandomprocessisoneoftheresearchdirectionforstudyinginth

7、eprobabilitytheory.AndthelimittheoremsisoneofthecentralquestionsforstudyingintheinternationalProbabilitytheory.Thispaperincludessixchapters.Thefirstchapterisintroduction,whichin-troducethebackgroundofchoosingthetitleinthissubjectandtheworkthatexisted;T

8、hechaptersfromthesecondtofiftharemainparts.Inthesecondchapter,convergencealmosteverywherewasstudiedbyconstructingmartingaldifferencesequences,andusingtheDoobmartingaleconvergencetheoremandmartingaldifferencesequencesconvergencetheorem,andweobtaintheShann

9、on-McMilliantheoremonaspecialnon-homogeneoustree;Inthethirdchapter,bytheconceptoftheabsolutemeanconvergenceontree,theexistenceoftheentropyrateofMarkovchainfieldsonthespecialnon-homogeneoustreeisobtained.Inthefourthchapter,bytheporpertyofmatrixnorm,thee

10、xistenceoftheentropyrateofhiddenMarkovmodelinthespecialnon-homogeneoustreeisobtained;Inthefifthchapter,somestronglawsoflargenumbersofMarkovfieldsonthespecialnon-homogeneoustreeisobtained;Thesixthchaptergivesmainconclusionsofthispaper.KEYWORDS:Martingale

11、differencesequence,relativeentropydensity,en-tropy,absolutemeanconvergenceintree,entropyrate,implicitMarkovmodel,thestronglawoflargenumbersiiq8SnBe,

12、G)———{oYω———glF———