Institute of Mathematical Statistics collections最新文献

筛选
英文 中文
High dimensional Bernstein-von Mises: simple examples. 高维伯恩斯坦-冯·米塞斯:简单的例子。
Institute of Mathematical Statistics collections Pub Date : 2010-01-01 DOI: 10.1214/10-IMSCOLL607
Iain M Johnstone
{"title":"High dimensional Bernstein-von Mises: simple examples.","authors":"Iain M Johnstone","doi":"10.1214/10-IMSCOLL607","DOIUrl":"10.1214/10-IMSCOLL607","url":null,"abstract":"<p><p>In Gaussian sequence models with Gaussian priors, we develop some simple examples to illustrate three perspectives on matching of posterior and frequentist probabilities when the dimension p increases with sample size n: (i) convergence of joint posterior distributions, (ii) behavior of a non-linear functional: squared error loss, and (iii) estimation of linear functionals. The three settings are progressively less demanding in terms of conditions needed for validity of the Bernstein-von Mises theorem.</p>","PeriodicalId":88897,"journal":{"name":"Institute of Mathematical Statistics collections","volume":"6 ","pages":"87-98"},"PeriodicalIF":0.0,"publicationDate":"2010-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2990974/pdf/nihms-199314.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"29498390","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on bounds for VC dimensions. 关于 VC 维度界限的说明。
Institute of Mathematical Statistics collections Pub Date : 2009-01-01 DOI: 10.1214/09-IMSCOLL508
Aad van der Vaart, Jon A Wellner
{"title":"A note on bounds for VC dimensions.","authors":"Aad van der Vaart, Jon A Wellner","doi":"10.1214/09-IMSCOLL508","DOIUrl":"10.1214/09-IMSCOLL508","url":null,"abstract":"<p><p>We provide bounds for the VC dimension of class of sets formed by unions, intersections, and products of VC classes of sets 𝒞(1),…,𝒞(m.</p>","PeriodicalId":88897,"journal":{"name":"Institute of Mathematical Statistics collections","volume":"5 ","pages":"103-107"},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2924594/pdf/nihms177738.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"29203664","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Model selection and sensitivity analysis for sequence pattern models. 序列模式模型的选择与灵敏度分析。
Mayetri Gupta
{"title":"Model selection and sensitivity analysis for sequence pattern models.","authors":"Mayetri Gupta","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>In this article we propose a maximal a posteriori (MAP) criterion for model selection in the motif discovery problem and investigate conditions under which the MAP asymptotically gives a correct prediction of model size. We also investigate robustness of the MAP to prior specification and provide guidelines for choosing prior hyper-parameters for motif models based on sensitivity considerations.</p>","PeriodicalId":88897,"journal":{"name":"Institute of Mathematical Statistics collections","volume":"1 ","pages":"390-407"},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2887058/pdf/nihms120964.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"29067838","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Model selection and sensitivity analysis for sequence pattern models. 序列模式模型的选择与灵敏度分析。
Institute of Mathematical Statistics collections Pub Date : 2008-05-16 DOI: 10.1214/193940307000000301
Mayetri Gupta
{"title":"Model selection and sensitivity analysis for sequence pattern models.","authors":"Mayetri Gupta","doi":"10.1214/193940307000000301","DOIUrl":"https://doi.org/10.1214/193940307000000301","url":null,"abstract":"In this article we propose a maximal a posteriori (MAP) criterion for model selection in the motif discovery problem and investigate conditions under which the MAP asymptotically gives a correct prediction of model size. We also investigate robustness of the MAP to prior specification and provide guidelines for choosing prior hyper-parameters for motif models based on sensitivity considerations.","PeriodicalId":88897,"journal":{"name":"Institute of Mathematical Statistics collections","volume":"59 1","pages":"390-407"},"PeriodicalIF":0.0,"publicationDate":"2008-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76091915","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信