{"title":"线性出生生长模型中种子的泛函中心极限定理","authors":"A. Dziwisz, W. Szczotka","doi":"10.4064/AM2283-2-2016","DOIUrl":null,"url":null,"abstract":". A problem of heredity of mixing properties ( α -mixing, β -mixing and ρ -mixing) from a stationary point process on R × R + to a sequence of some of its points called ‘seeds’ is considered. Next, using the mixing properties, several versions of functional central limit theorems for the distances between seeds and the process of the number of seeds are obtained.","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"43 1","pages":"1-24"},"PeriodicalIF":0.0000,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Functional central limit theorems for seeds in a linear birth and growth model\",\"authors\":\"A. Dziwisz, W. Szczotka\",\"doi\":\"10.4064/AM2283-2-2016\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". A problem of heredity of mixing properties ( α -mixing, β -mixing and ρ -mixing) from a stationary point process on R × R + to a sequence of some of its points called ‘seeds’ is considered. Next, using the mixing properties, several versions of functional central limit theorems for the distances between seeds and the process of the number of seeds are obtained.\",\"PeriodicalId\":52313,\"journal\":{\"name\":\"Applicationes Mathematicae\",\"volume\":\"43 1\",\"pages\":\"1-24\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applicationes Mathematicae\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4064/AM2283-2-2016\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applicationes Mathematicae","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4064/AM2283-2-2016","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
摘要
. 考虑了R × R +上的一个平稳点过程的混合性质(α -混合、β -混合和ρ -混合)对称为“种子”的若干点序列的遗传问题。其次,利用混合性质,得到了种子间距离和种子数过程的若干版本的泛函中心极限定理。
Functional central limit theorems for seeds in a linear birth and growth model
. A problem of heredity of mixing properties ( α -mixing, β -mixing and ρ -mixing) from a stationary point process on R × R + to a sequence of some of its points called ‘seeds’ is considered. Next, using the mixing properties, several versions of functional central limit theorems for the distances between seeds and the process of the number of seeds are obtained.