{"title":"寻找 Fb 上的短周期 Tausworthe 发生器，并将其应用于马尔可夫链准蒙特卡洛","authors":"Shin Harase","doi":"10.1080/00949655.2024.2312951","DOIUrl":null,"url":null,"abstract":"A one-dimensional sequence u0,u1,u2,…∈[0,1) is said to be completely uniformly distributed (CUD) if overlapping s-blocks (ui,ui+1,…,ui+s−1), i=0,1,2,…, are uniformly distributed for every dimension...","PeriodicalId":50040,"journal":{"name":"Journal of Statistical Computation and Simulation","volume":"29 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A search for short-period Tausworthe generators over Fb with application to Markov chain quasi-Monte Carlo\",\"authors\":\"Shin Harase\",\"doi\":\"10.1080/00949655.2024.2312951\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A one-dimensional sequence u0,u1,u2,…∈[0,1) is said to be completely uniformly distributed (CUD) if overlapping s-blocks (ui,ui+1,…,ui+s−1), i=0,1,2,…, are uniformly distributed for every dimension...\",\"PeriodicalId\":50040,\"journal\":{\"name\":\"Journal of Statistical Computation and Simulation\",\"volume\":\"29 1\",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2024-02-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Statistical Computation and Simulation\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/00949655.2024.2312951\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Statistical Computation and Simulation","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00949655.2024.2312951","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
摘要
如果重叠的 s 块（ui,ui+1,...,ui+s-1），i=0,1,2,...，在每个维度上都是均匀分布的，则称一维序列 u0,u1,u2,...∈[0,1] 为完全均匀分布（CUD）。
A search for short-period Tausworthe generators over Fb with application to Markov chain quasi-Monte Carlo
A one-dimensional sequence u0,u1,u2,…∈[0,1) is said to be completely uniformly distributed (CUD) if overlapping s-blocks (ui,ui+1,…,ui+s−1), i=0,1,2,…, are uniformly distributed for every dimension...
期刊介绍：
Journal of Statistical Computation and Simulation ( JSCS ) publishes significant and original work in areas of statistics which are related to or dependent upon the computer.
Fields covered include computer algorithms related to probability or statistics, studies in statistical inference by means of simulation techniques, and implementation of interactive statistical systems.
JSCS does not consider applications of statistics to other fields, except as illustrations of the use of the original statistics presented.
Accepted papers should ideally appeal to a wide audience of statisticians and provoke real applications of theoretical constructions.
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