Pub Date : 2024-04-17DOI: 10.1080/03610926.2024.2341180
Pritam Sarkar, Atanu Biswas, Rahul Bhattacharya
A fixed width confidence interval for the treatment difference is obtained under heteroscedastic normal responses following a response adaptive allocation targeting Neyman optimum allocation. The d...
{"title":"Fixed width confidence interval estimation for general continuous responses under a response adaptive design","authors":"Pritam Sarkar, Atanu Biswas, Rahul Bhattacharya","doi":"10.1080/03610926.2024.2341180","DOIUrl":"https://doi.org/10.1080/03610926.2024.2341180","url":null,"abstract":"A fixed width confidence interval for the treatment difference is obtained under heteroscedastic normal responses following a response adaptive allocation targeting Neyman optimum allocation. The d...","PeriodicalId":10531,"journal":{"name":"Communications in Statistics - Theory and Methods","volume":"33 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140611606","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 : 2024-04-14DOI: 10.1080/03610926.2024.2337069
Haim Shore
The occasional departure of the mode from the mean testifies that some elements of the set, defining the “identity” of an observed random phenomenon, are recurrent while others have become random. ...
{"title":"Why the mode departs from the mean—a short communication","authors":"Haim Shore","doi":"10.1080/03610926.2024.2337069","DOIUrl":"https://doi.org/10.1080/03610926.2024.2337069","url":null,"abstract":"The occasional departure of the mode from the mean testifies that some elements of the set, defining the “identity” of an observed random phenomenon, are recurrent while others have become random. ...","PeriodicalId":10531,"journal":{"name":"Communications in Statistics - Theory and Methods","volume":"34 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140564837","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 : 2024-04-09DOI: 10.1080/03610926.2024.2338418
Jingren Chen, Xuejun Ma, Yue Chao
We propose the auto multivariate distance covariance for time series, which extends the concept of joint high distance covariance. Furthermore, we develop two new procedures for testing mutual inde...
{"title":"Testing independence for multivariate time series via auto multivariate distance covariance","authors":"Jingren Chen, Xuejun Ma, Yue Chao","doi":"10.1080/03610926.2024.2338418","DOIUrl":"https://doi.org/10.1080/03610926.2024.2338418","url":null,"abstract":"We propose the auto multivariate distance covariance for time series, which extends the concept of joint high distance covariance. Furthermore, we develop two new procedures for testing mutual inde...","PeriodicalId":10531,"journal":{"name":"Communications in Statistics - Theory and Methods","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140565171","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 : 2024-04-04DOI: 10.1080/03610926.2024.2333333
Gi-Sung Lee, Ki-Hak Hong, Chang-Kyoon Son
In this article, when the population is composed of several strata, we deal with the problem of stratified estimation for sensitive variables by applying stratified sampling to Murtaza et al.’s mod...
{"title":"A stratified estimation for sensitive variable using correlated scrambling variables","authors":"Gi-Sung Lee, Ki-Hak Hong, Chang-Kyoon Son","doi":"10.1080/03610926.2024.2333333","DOIUrl":"https://doi.org/10.1080/03610926.2024.2333333","url":null,"abstract":"In this article, when the population is composed of several strata, we deal with the problem of stratified estimation for sensitive variables by applying stratified sampling to Murtaza et al.’s mod...","PeriodicalId":10531,"journal":{"name":"Communications in Statistics - Theory and Methods","volume":"48 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140564834","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 : 2024-04-04DOI: 10.1080/03610926.2024.2335543
Zhan Liu, Dianni Wang, Yingli Pan
Non probability samples have been widely used in various fields. However, non probability samples suffer from selection biases due to the unknown selection probabilities. Superpopulation model infe...
{"title":"Superpopulation model inference for non probability samples under informative sampling with high-dimensional data","authors":"Zhan Liu, Dianni Wang, Yingli Pan","doi":"10.1080/03610926.2024.2335543","DOIUrl":"https://doi.org/10.1080/03610926.2024.2335543","url":null,"abstract":"Non probability samples have been widely used in various fields. However, non probability samples suffer from selection biases due to the unknown selection probabilities. Superpopulation model infe...","PeriodicalId":10531,"journal":{"name":"Communications in Statistics - Theory and Methods","volume":"94 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140565240","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 : 2024-04-04DOI: 10.1080/03610926.2024.2330673
Christopher Fragneau, Fadoua Balabdaoui, Cécile Durot, Skander Stefan
In the high-dimensional monotone single index model, one observes i.i.d. copies of (X,Y) where the real response variable Y is linked to the d-dimensional covariate X through the relationship E[Y|X...
在高维单调单指数模型中，我们观察 (X,Y) 的 i.i.d. 副本，其中实际响应变量 Y 通过关系 E[Y|X...
{"title":"Rates of convergence of the constrained least squares estimator in high-dimensional monotone single-index models","authors":"Christopher Fragneau, Fadoua Balabdaoui, Cécile Durot, Skander Stefan","doi":"10.1080/03610926.2024.2330673","DOIUrl":"https://doi.org/10.1080/03610926.2024.2330673","url":null,"abstract":"In the high-dimensional monotone single index model, one observes i.i.d. copies of (X,Y) where the real response variable Y is linked to the d-dimensional covariate X through the relationship E[Y|X...","PeriodicalId":10531,"journal":{"name":"Communications in Statistics - Theory and Methods","volume":"7 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140564847","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 : 2024-04-04DOI: 10.1080/03610926.2024.2335541
Jingyu Li, Yong Zhang
In this article, we investigate the precise asymptotics for complete convergence and complete moment convergence for the spatial averages of the solution to the stochastic heat equation over a Eucl...
在本文中，我们研究了欧几里得上随机热方程解的空间平均值的完全收敛和完全矩收敛的精确渐近。
{"title":"General results on precise asymptotics for the stochastic heat equation","authors":"Jingyu Li, Yong Zhang","doi":"10.1080/03610926.2024.2335541","DOIUrl":"https://doi.org/10.1080/03610926.2024.2335541","url":null,"abstract":"In this article, we investigate the precise asymptotics for complete convergence and complete moment convergence for the spatial averages of the solution to the stochastic heat equation over a Eucl...","PeriodicalId":10531,"journal":{"name":"Communications in Statistics - Theory and Methods","volume":"34 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140565355","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 : 2024-04-02DOI: 10.1080/03610926.2024.2333339
Asma Ben Saber, Abderrazek Karoui
In this work, we study a univariate as well as a multivariate Jacobi polynomial-based estimator for solving the fundamental problem of non parametric (NP) regression. The proposed NP regression est...
{"title":"Orthogonal systems based stable estimator for non parametric regression problems","authors":"Asma Ben Saber, Abderrazek Karoui","doi":"10.1080/03610926.2024.2333339","DOIUrl":"https://doi.org/10.1080/03610926.2024.2333339","url":null,"abstract":"In this work, we study a univariate as well as a multivariate Jacobi polynomial-based estimator for solving the fundamental problem of non parametric (NP) regression. The proposed NP regression est...","PeriodicalId":10531,"journal":{"name":"Communications in Statistics - Theory and Methods","volume":"5 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140564925","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 : 2024-04-02DOI: 10.1080/03610926.2024.2334803
Yu Miao, Jun Ye
In this article, let {Xn,n≥1} be a sequence of i.i.d. random variables with common probability density function f, and f̂n denotes a Wegman-Davies recursive density estimator f̂n(x)=1nhn1/2∑i=1n1h...
{"title":"On the asymptotic normality for integrated square error of Wegman-Davies recursive density estimators","authors":"Yu Miao, Jun Ye","doi":"10.1080/03610926.2024.2334803","DOIUrl":"https://doi.org/10.1080/03610926.2024.2334803","url":null,"abstract":"In this article, let {Xn,n≥1} be a sequence of i.i.d. random variables with common probability density function f, and f̂n denotes a Wegman-Davies recursive density estimator f̂n(x)=1nhn1/2∑i=1n1h...","PeriodicalId":10531,"journal":{"name":"Communications in Statistics - Theory and Methods","volume":"28 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140565224","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 : 2024-03-31DOI: 10.1080/03610926.2024.2333331
Wei Wang, Hui Wang, Yi Wu
The frequency polygon estimation, which is based on the histogram technique, has a similar convergence rate as those of modern non negative kernel estimators and the advantage of computational simp...
基于直方图技术的频率多边形估计与现代非负核估计具有相似的收敛速度，并且具有计算简便的优势。
{"title":"Consistency of the frequency polygon estimators of density function and density mode under m-END samples","authors":"Wei Wang, Hui Wang, Yi Wu","doi":"10.1080/03610926.2024.2333331","DOIUrl":"https://doi.org/10.1080/03610926.2024.2333331","url":null,"abstract":"The frequency polygon estimation, which is based on the histogram technique, has a similar convergence rate as those of modern non negative kernel estimators and the advantage of computational simp...","PeriodicalId":10531,"journal":{"name":"Communications in Statistics - Theory and Methods","volume":"48 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140564917","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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