Pub Date : 2023-10-25DOI: 10.1007/s40304-023-00367-1
Hua-Lin Huang, Lili Liao, Huajun Lu, Yu Ye, Chi Zhang
{"title":"Harrison Center and Products of Sums of Powers","authors":"Hua-Lin Huang, Lili Liao, Huajun Lu, Yu Ye, Chi Zhang","doi":"10.1007/s40304-023-00367-1","DOIUrl":"https://doi.org/10.1007/s40304-023-00367-1","url":null,"abstract":"","PeriodicalId":10575,"journal":{"name":"Communications in Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135215956","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-25DOI: 10.1007/s40304-023-00362-6
Fang Lu, Jing Yang, Xuewen Lu
{"title":"Automatic Structure Identification of Semiparametric Spatial Autoregressive Model Based on Smooth-Threshold Estimating Equation","authors":"Fang Lu, Jing Yang, Xuewen Lu","doi":"10.1007/s40304-023-00362-6","DOIUrl":"https://doi.org/10.1007/s40304-023-00362-6","url":null,"abstract":"","PeriodicalId":10575,"journal":{"name":"Communications in Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135217685","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-23DOI: 10.1007/s40304-023-00361-7
Yezhou Yi
{"title":"On Asymptotic Behavior of Elliptic SO(d)-Equivariant Yang–Mills Fields","authors":"Yezhou Yi","doi":"10.1007/s40304-023-00361-7","DOIUrl":"https://doi.org/10.1007/s40304-023-00361-7","url":null,"abstract":"","PeriodicalId":10575,"journal":{"name":"Communications in Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135412293","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-21DOI: 10.1007/s40304-023-00372-4
Duc Thoan Pham, Van Khien Tran, Thi Hong Nguyen
{"title":"On Vanishing Theorems for Locally Conformally Flat Riemannian Manifolds with an Integral Pinching Condition","authors":"Duc Thoan Pham, Van Khien Tran, Thi Hong Nguyen","doi":"10.1007/s40304-023-00372-4","DOIUrl":"https://doi.org/10.1007/s40304-023-00372-4","url":null,"abstract":"","PeriodicalId":10575,"journal":{"name":"Communications in Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135512133","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-13DOI: 10.1007/s40304-023-00364-4
Guangjun Shen, Jiayuan Yin, Jiang-Lun Wu
{"title":"Stochastic Averaging Principle for Two-Time-Scale SDEs with Distribution-Dependent Coefficients Driven by Fractional Brownian Motion","authors":"Guangjun Shen, Jiayuan Yin, Jiang-Lun Wu","doi":"10.1007/s40304-023-00364-4","DOIUrl":"https://doi.org/10.1007/s40304-023-00364-4","url":null,"abstract":"","PeriodicalId":10575,"journal":{"name":"Communications in Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135918851","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-12DOI: 10.1007/s40304-023-00349-3
Jasmina Đorđević
{"title":"Backward Doubly Stochastic Integral Equations of the Volterra Type and Some Related Problems","authors":"Jasmina Đorđević","doi":"10.1007/s40304-023-00349-3","DOIUrl":"https://doi.org/10.1007/s40304-023-00349-3","url":null,"abstract":"","PeriodicalId":10575,"journal":{"name":"Communications in Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135968294","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-10DOI: 10.1007/s40304-023-00355-5
Jialin He, Jie Ma, Lilu Zhao
{"title":"Improvements on Induced Subgraphs of Given Sizes","authors":"Jialin He, Jie Ma, Lilu Zhao","doi":"10.1007/s40304-023-00355-5","DOIUrl":"https://doi.org/10.1007/s40304-023-00355-5","url":null,"abstract":"","PeriodicalId":10575,"journal":{"name":"Communications in Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136296214","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-09DOI: 10.1007/s40304-023-00359-1
Shuang-Can Xiong, Ye-Mao Xia, Bin Lu
Abstract In analyzing semi-continuous data, two-part model is a widely appreciated tool, in which two components are enclosed to characterize the mixing proportion of zeros and the actual level of positive values in semi-continuous data. The primary interest underlying such a model is primarily to exploit the dependence of the observed covariates on the semi-continuous variables; as such, the exploitation of unobserved heterogeneity is sometimes ignored. In this paper, we extend the conventional two-part regression model to much more general situations where multiple latent factors are considered to interpret the latent heterogeneity arising from the absence of covariates. A structural equation is constructed to describe the interrelationships between the latent factors. Moreover, a general statistical analysis procedure is developed to accommodate semi-continuous, ordered and unordered data simultaneously. A procedure for parameter estimation and model assessment is developed under a Bayesian framework. Empirical results including a simulation study and a real example are presented to illustrate the proposed methodology.
{"title":"Bayesian Analysis of Two-Part Latent Variable Model with Mixed Data","authors":"Shuang-Can Xiong, Ye-Mao Xia, Bin Lu","doi":"10.1007/s40304-023-00359-1","DOIUrl":"https://doi.org/10.1007/s40304-023-00359-1","url":null,"abstract":"Abstract In analyzing semi-continuous data, two-part model is a widely appreciated tool, in which two components are enclosed to characterize the mixing proportion of zeros and the actual level of positive values in semi-continuous data. The primary interest underlying such a model is primarily to exploit the dependence of the observed covariates on the semi-continuous variables; as such, the exploitation of unobserved heterogeneity is sometimes ignored. In this paper, we extend the conventional two-part regression model to much more general situations where multiple latent factors are considered to interpret the latent heterogeneity arising from the absence of covariates. A structural equation is constructed to describe the interrelationships between the latent factors. Moreover, a general statistical analysis procedure is developed to accommodate semi-continuous, ordered and unordered data simultaneously. A procedure for parameter estimation and model assessment is developed under a Bayesian framework. Empirical results including a simulation study and a real example are presented to illustrate the proposed methodology.","PeriodicalId":10575,"journal":{"name":"Communications in Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135093429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-25DOI: 10.1007/s40304-023-00351-9
Mamadou Lamine Diop, William Kengne
{"title":"Density Power Divergence Estimator for General Integer-Valued Time Series with Exogenous Covariates","authors":"Mamadou Lamine Diop, William Kengne","doi":"10.1007/s40304-023-00351-9","DOIUrl":"https://doi.org/10.1007/s40304-023-00351-9","url":null,"abstract":"","PeriodicalId":10575,"journal":{"name":"Communications in Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135815110","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-13DOI: 10.1007/s40304-023-00354-6
Biao Wang, Zhining Wei, Pan Yan, Shaoyun Yi
{"title":"Generalizations of the Erdős–Kac Theorem and the Prime Number Theorem","authors":"Biao Wang, Zhining Wei, Pan Yan, Shaoyun Yi","doi":"10.1007/s40304-023-00354-6","DOIUrl":"https://doi.org/10.1007/s40304-023-00354-6","url":null,"abstract":"","PeriodicalId":10575,"journal":{"name":"Communications in Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135733778","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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