一类具有嵌套范围的特殊从属关系

IF 1.2 2区数学 Q2 STATISTICS & PROBABILITY

Annales De L Institut Henri Poincare-probabilites Et Statistiques Pub Date : 2015-05-01 DOI:10.1214/13-AIHP595

P. Marchal

{"title":"一类具有嵌套范围的特殊从属关系","authors":"P. Marchal","doi":"10.1214/13-AIHP595","DOIUrl":null,"url":null,"abstract":"We construct, on a single probability space, a class of regenerative sets R, indexed by all measurable functions α : [0, 1] → [0, 1]. For each function α, R, has the law of the range of a special subordinator. Constant functions correspond to stable subordinators. If α ≤ β, then R ⊂ R. Other examples of special subordinators are given in the lattice case.","PeriodicalId":7902,"journal":{"name":"Annales De L Institut Henri Poincare-probabilites Et Statistiques","volume":"84 1","pages":"533-544"},"PeriodicalIF":1.2000,"publicationDate":"2015-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"A class of special subordinators with nested ranges\",\"authors\":\"P. Marchal\",\"doi\":\"10.1214/13-AIHP595\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We construct, on a single probability space, a class of regenerative sets R, indexed by all measurable functions α : [0, 1] → [0, 1]. For each function α, R, has the law of the range of a special subordinator. Constant functions correspond to stable subordinators. If α ≤ β, then R ⊂ R. Other examples of special subordinators are given in the lattice case.\",\"PeriodicalId\":7902,\"journal\":{\"name\":\"Annales De L Institut Henri Poincare-probabilites Et Statistiques\",\"volume\":\"84 1\",\"pages\":\"533-544\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2015-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annales De L Institut Henri Poincare-probabilites Et Statistiques\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1214/13-AIHP595\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales De L Institut Henri Poincare-probabilites Et Statistiques","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1214/13-AIHP595","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}

引用次数: 8

摘要

在单个概率空间上，构造了一类由所有可测函数α:[0,1]→[0,1]所指示的再生集R。对于每一个函数α， R，都有一个特殊从属子的值域定律。不变的职能对应于稳定的从属关系。若α≤β，则R∧R。在格情况下给出了其他特殊从属子的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A class of special subordinators with nested ranges

We construct, on a single probability space, a class of regenerative sets R, indexed by all measurable functions α : [0, 1] → [0, 1]. For each function α, R, has the law of the range of a special subordinator. Constant functions correspond to stable subordinators. If α ≤ β, then R ⊂ R. Other examples of special subordinators are given in the lattice case.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Annales De L Institut Henri Poincare-probabilites Et Statistiques 数学-统计学与概率论

CiteScore

2.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Probability and Statistics section of the Annales de l’Institut Henri Poincaré is an international journal which publishes high quality research papers. The journal deals with all aspects of modern probability theory and mathematical statistics, as well as with their applications.