{"title":"随机环境下一维随机行走的极限定理","authors":"Wang He-song","doi":"10.1515/9783112319024-009","DOIUrl":null,"url":null,"abstract":"The one-dimensional random walk with random time-environments is considerd.When environmental process is stationary and ergodic,the model satisfies law of large numbers and central limit theorem under certain conditions.Especially in the case of independent and identically distributed environment,results corresponding to classical law of large numbers and central limit theorem are obtained.","PeriodicalId":16396,"journal":{"name":"湖南师范大学自然科学学报","volume":"20 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Limit Theorems in One-Dimensional Random Walks with Random Environments\",\"authors\":\"Wang He-song\",\"doi\":\"10.1515/9783112319024-009\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The one-dimensional random walk with random time-environments is considerd.When environmental process is stationary and ergodic,the model satisfies law of large numbers and central limit theorem under certain conditions.Especially in the case of independent and identically distributed environment,results corresponding to classical law of large numbers and central limit theorem are obtained.\",\"PeriodicalId\":16396,\"journal\":{\"name\":\"湖南师范大学自然科学学报\",\"volume\":\"20 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"湖南师范大学自然科学学报\",\"FirstCategoryId\":\"1089\",\"ListUrlMain\":\"https://doi.org/10.1515/9783112319024-009\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"湖南师范大学自然科学学报","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.1515/9783112319024-009","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Limit Theorems in One-Dimensional Random Walks with Random Environments
The one-dimensional random walk with random time-environments is considerd.When environmental process is stationary and ergodic,the model satisfies law of large numbers and central limit theorem under certain conditions.Especially in the case of independent and identically distributed environment,results corresponding to classical law of large numbers and central limit theorem are obtained.
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