{"title":"树索引齐次马尔可夫链的渐近均分性质","authors":"Weicai Peng","doi":"10.1109/BCGIN.2011.96","DOIUrl":null,"url":null,"abstract":"In this paper, the tree model is different from the known models. We prove the strong law of large numbers and the asymptotic equipartition property (AEP) for finite homogeneous Markov chains indexed by this tree. The results generalize some known results.","PeriodicalId":127523,"journal":{"name":"2011 International Conference on Business Computing and Global Informatization","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Asymptotic Equipartition Property for Homogeneous Markov Chains Indexed by Trees\",\"authors\":\"Weicai Peng\",\"doi\":\"10.1109/BCGIN.2011.96\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the tree model is different from the known models. We prove the strong law of large numbers and the asymptotic equipartition property (AEP) for finite homogeneous Markov chains indexed by this tree. The results generalize some known results.\",\"PeriodicalId\":127523,\"journal\":{\"name\":\"2011 International Conference on Business Computing and Global Informatization\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-07-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 International Conference on Business Computing and Global Informatization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/BCGIN.2011.96\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 International Conference on Business Computing and Global Informatization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/BCGIN.2011.96","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Asymptotic Equipartition Property for Homogeneous Markov Chains Indexed by Trees
In this paper, the tree model is different from the known models. We prove the strong law of large numbers and the asymptotic equipartition property (AEP) for finite homogeneous Markov chains indexed by this tree. The results generalize some known results.
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