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Multi-arm covariate-adaptive randomization. 多臂协变量自适应随机化。
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-01-01 DOI: 10.1007/s11425-020-1954-y
Feifang Hu, Xiaoqing Ye, Li-Xin Zhang
{"title":"Multi-arm covariate-adaptive randomization.","authors":"Feifang Hu,&nbsp;Xiaoqing Ye,&nbsp;Li-Xin Zhang","doi":"10.1007/s11425-020-1954-y","DOIUrl":"https://doi.org/10.1007/s11425-020-1954-y","url":null,"abstract":"<p><p>Simultaneously investigating multiple treatments in a single study achieves considerable efficiency in contrast to the traditional two-arm trials. Balancing treatment allocation for influential covariates has become increasingly important in today's clinical trials. The multi-arm covariate-adaptive randomized clinical trial is one of the most powerful tools to incorporate covariate information and multiple treatments in a single study. Pocock and Simon's procedure has been extended to the multi-arm case. However, the theoretical properties of multi-arm covariate-adaptive randomization have remained largely elusive for decades. In this paper, we propose a general framework for multi-arm covariate-adaptive designs which also includes the two-arm case, and establish the corresponding theory under widely satisfied conditions. The theoretical results provide new insights into the balance properties of covariate-adaptive randomization procedures and make foundations for most existing statistical inferences under two-arm covariate-adaptive randomization. Furthermore, these open a door to study the theoretical properties of statistical inferences for clinical trials based on multi-arm covariate-adaptive randomization procedures.</p>","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9326148/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10835965","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
The non-abelian Hodge correspondence on some non-Kähler manifolds 一些non-Kähler流形上的非阿贝尔Hodge对应
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2022-12-16 DOI: 10.1007/s11425-022-2053-8
Changpeng Pan, Chuanjing Zhang, Xi Zhang
{"title":"The non-abelian Hodge correspondence on some non-Kähler manifolds","authors":"Changpeng Pan, Chuanjing Zhang, Xi Zhang","doi":"10.1007/s11425-022-2053-8","DOIUrl":"https://doi.org/10.1007/s11425-022-2053-8","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90568506","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A standard form of incompressible surfaces in 3-dimensional handlebodies 三维把手体内不可压缩表面的一种标准形式
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2022-12-12 DOI: 10.1007/s11425-022-2072-8
Wei Lin, Fengchun Lei
{"title":"A standard form of incompressible surfaces in 3-dimensional handlebodies","authors":"Wei Lin, Fengchun Lei","doi":"10.1007/s11425-022-2072-8","DOIUrl":"https://doi.org/10.1007/s11425-022-2072-8","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79059902","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Global multiplicity of solutions to a defocusing quasilinear Schrödinger equation with the singular term 一类奇异项离焦拟线性Schrödinger方程解的全局多重性
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2022-12-12 DOI: 10.1007/s11425-022-2002-y
Siyu Chen, C. Santos, Minbo Yang, Jiazheng Zhou
{"title":"Global multiplicity of solutions to a defocusing quasilinear Schrödinger equation with the singular term","authors":"Siyu Chen, C. Santos, Minbo Yang, Jiazheng Zhou","doi":"10.1007/s11425-022-2002-y","DOIUrl":"https://doi.org/10.1007/s11425-022-2002-y","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84813973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bifurcation from the essential spectrum for an elliptic equation with general nonlinearities 一般非线性椭圆型方程的本质谱分岔
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2022-11-29 DOI: 10.1007/s11425-022-2049-1
Jianjun Zhang, X. Zhong, Huan-Song Zhou
{"title":"Bifurcation from the essential spectrum for an elliptic equation with general nonlinearities","authors":"Jianjun Zhang, X. Zhong, Huan-Song Zhou","doi":"10.1007/s11425-022-2049-1","DOIUrl":"https://doi.org/10.1007/s11425-022-2049-1","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91368787","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bilinear forms with trace functions over arbitrary sets and applications to Sato-Tate 任意集上带迹函数的双线性形式及其在Sato-Tate上的应用
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2022-11-27 DOI: 10.1007/s11425-022-2184-9
Ping Xi
{"title":"Bilinear forms with trace functions over arbitrary sets and applications to Sato-Tate","authors":"Ping Xi","doi":"10.1007/s11425-022-2184-9","DOIUrl":"https://doi.org/10.1007/s11425-022-2184-9","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80829143","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Local and global well-posedness of entropy-bounded solutions to the compressible Navier-Stokes equations in multi-dimensions 多维可压缩Navier-Stokes方程熵有界解的局部和全局适定性
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2022-11-24 DOI: 10.1007/s11425-022-2047-0
Jinkai Li, Z. Xin
{"title":"Local and global well-posedness of entropy-bounded solutions to the compressible Navier-Stokes equations in multi-dimensions","authors":"Jinkai Li, Z. Xin","doi":"10.1007/s11425-022-2047-0","DOIUrl":"https://doi.org/10.1007/s11425-022-2047-0","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78572516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Symmetries and bilinear equations for the modified BKP hierarchy 修正BKP层次的对称性和双线性方程
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2022-11-23 DOI: 10.1007/s11425-022-2007-0
Weici Guo, Wenchuan Guan, Sheng-Nan Wang, Jipeng Cheng
{"title":"Symmetries and bilinear equations for the modified BKP hierarchy","authors":"Weici Guo, Wenchuan Guan, Sheng-Nan Wang, Jipeng Cheng","doi":"10.1007/s11425-022-2007-0","DOIUrl":"https://doi.org/10.1007/s11425-022-2007-0","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84500174","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Statistical inference for the nonparametric and semiparametric hidden Markov model via the composite likelihood approach 利用复合似然方法对非参数和半参数隐马尔可夫模型进行统计推断
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2022-11-22 DOI: 10.1007/s11425-020-1913-7
Mian Huang, Yue-Lieh Huang, W. Yao
{"title":"Statistical inference for the nonparametric and semiparametric hidden Markov model via the composite likelihood approach","authors":"Mian Huang, Yue-Lieh Huang, W. Yao","doi":"10.1007/s11425-020-1913-7","DOIUrl":"https://doi.org/10.1007/s11425-020-1913-7","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73546467","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Improved RIP-based bounds for guaranteed performance of two compressed sensing algorithms 改进了基于rip的边界，保证了两种压缩感知算法的性能
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2022-11-18 DOI: 10.1007/s11425-021-1987-2
Yun-Bin Zhao, Z. Luo
{"title":"Improved RIP-based bounds for guaranteed performance of two compressed sensing algorithms","authors":"Yun-Bin Zhao, Z. Luo","doi":"10.1007/s11425-021-1987-2","DOIUrl":"https://doi.org/10.1007/s11425-021-1987-2","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74817477","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 11
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