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Sankhya-Series A-Mathematical Statistics and Probability最新文献

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Concurrent Functional Linear Regression Via Plug-in Empirical Likelihood. 基于插件经验似然的并发函数线性回归。
IF 0.5
Sankhya-Series A-Mathematical Statistics and Probability Pub Date : 2026-01-01 Epub Date: 2024-09-02 DOI: 10.1007/s13171-024-00369-3
Hsin-Wen Chang, Ian W McKeague
{"title":"Concurrent Functional Linear Regression Via Plug-in Empirical Likelihood.","authors":"Hsin-Wen Chang, Ian W McKeague","doi":"10.1007/s13171-024-00369-3","DOIUrl":"10.1007/s13171-024-00369-3","url":null,"abstract":"<p><p>Functional data with non-smooth features (e.g., discontinuities in the functional mean and/or covariance) and monotonicity arise frequently in practice. This paper develops simultaneous inference for concurrent functional linear regression in this setting. We construct a simultaneous confidence band for a functional covariate effect of interest. Along with a Wald-type formulation, our approach is based on a powerful nonparametric likelihood ratio method. Our procedures are flexible enough to allow discontinuities in the coefficient functions and the covariance structure, while accounting for discretization of the observed trajectories under a fixed dense design. A simulation study shows that the proposed likelihood ratio-based procedure outperforms the Wald-type procedure in moderate sample sizes. We apply the proposed methods to studying the effect of age on the occupation time curve derived from wearable device data obtained in an NHANES study.</p>","PeriodicalId":46728,"journal":{"name":"Sankhya-Series A-Mathematical Statistics and Probability","volume":"88 2","pages":"345-371"},"PeriodicalIF":0.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13614998/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149064918","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
Simple Estimators of the Mixing Proportion in a Semi-Parametric Mixture with Known Component. 已知成分的半参数混合物中混合比例的简单估计。
IF 0.5
Sankhya-Series A-Mathematical Statistics and Probability Pub Date : 2026-01-01 Epub Date: 2025-10-22 DOI: 10.1007/s13171-025-00421-w
Fadoua Balabdaoui, Harald Besdziek
{"title":"Simple Estimators of the Mixing Proportion in a Semi-Parametric Mixture with Known Component.","authors":"Fadoua Balabdaoui, Harald Besdziek","doi":"10.1007/s13171-025-00421-w","DOIUrl":"10.1007/s13171-025-00421-w","url":null,"abstract":"<p><p>In this paper, we consider the problem of estimating a mixture of a background and signal component. The background distribution is fully known, while the signal distribution needs to be estimated along with the mixing proportion. We treat the special case where the support of the signal distribution is strictly included in that of the background. We show how this assumption can be accounted for in the estimation procedure to obtain a parametric rate of convergence for estimating the mixing proportion. In the case where the signal distribution admits a monotone, a monotone and convex or a log-concave density with respect to Lebesgue measure, we construct estimators that are based on the well-known shape-constrained approaches adapted for each one of these cases. Simulations are presented to illustrate the obtained theoretical results. We also showcase our methodology using prostate cancer data.</p><p><strong>Supplementary information: </strong>The online version contains supplementary material available at 10.1007/s13171-025-00421-w.</p>","PeriodicalId":46728,"journal":{"name":"Sankhya-Series A-Mathematical Statistics and Probability","volume":"88 1","pages":"80-135"},"PeriodicalIF":0.5,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12967557/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147391284","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
Finite Population Survey Sampling: An Unapologetic Bayesian Perspective. 有限人口调查抽样：无可辩驳的贝叶斯观点。
IF 0.5
Sankhya-Series A-Mathematical Statistics and Probability Pub Date : 2024-11-01 Epub Date: 2024-04-08 DOI: 10.1007/s13171-024-00348-8
Sudipto Banerjee
{"title":"Finite Population Survey Sampling: An Unapologetic Bayesian Perspective.","authors":"Sudipto Banerjee","doi":"10.1007/s13171-024-00348-8","DOIUrl":"10.1007/s13171-024-00348-8","url":null,"abstract":"<p><p>This article attempts to offer some perspectives on Bayesian inference for finite population quantities when the units in the population are assumed to exhibit complex dependencies. Beginning with an overview of Bayesian hierarchical models, including some that yield design-based Horvitz-Thompson estimators, the article proceeds to introduce dependence in finite populations and sets out inferential frameworks for ignorable and nonignorable responses. Multivariate dependencies using graphical models and spatial processes are discussed and some salient features of two recent analyses for spatial finite populations are presented.</p>","PeriodicalId":46728,"journal":{"name":"Sankhya-Series A-Mathematical Statistics and Probability","volume":"86 Suppl 1","pages":"95-124"},"PeriodicalIF":0.5,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12396637/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144973672","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
Global-Local Shrinkage Priors for Asymptotic Point and Interval Estimation of Normal Means under Sparsity 稀疏性下正态均值渐近点和区间估计的全局-局部收缩先验
IF 0.7
Sankhya-Series A-Mathematical Statistics and Probability Pub Date : 2023-09-08 DOI: 10.1007/s13171-023-00315-9
Zikun Qin, Malay Ghosh
{"title":"Global-Local Shrinkage Priors for Asymptotic Point and Interval Estimation of Normal Means under Sparsity","authors":"Zikun Qin, Malay Ghosh","doi":"10.1007/s13171-023-00315-9","DOIUrl":"https://doi.org/10.1007/s13171-023-00315-9","url":null,"abstract":"","PeriodicalId":46728,"journal":{"name":"Sankhya-Series A-Mathematical Statistics and Probability","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46014710","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
Quadratic Prediction of Time Series via Auto-Cumulants 时间序列的自累积量二次预测
IF 0.7
Sankhya-Series A-Mathematical Statistics and Probability Pub Date : 2023-09-08 DOI: 10.1007/s13171-023-00326-6
T. McElroy, Dhrubajyoti Ghosh, Soumendra Lahiri
{"title":"Quadratic Prediction of Time Series via Auto-Cumulants","authors":"T. McElroy, Dhrubajyoti Ghosh, Soumendra Lahiri","doi":"10.1007/s13171-023-00326-6","DOIUrl":"https://doi.org/10.1007/s13171-023-00326-6","url":null,"abstract":"","PeriodicalId":46728,"journal":{"name":"Sankhya-Series A-Mathematical Statistics and Probability","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46331043","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
Exponential Bounds and Convergence Rates of Sieve Estimators for Functional Autoregressive Processes 泛函自回归过程筛估计的指数界和收敛率
IF 0.7
Sankhya-Series A-Mathematical Statistics and Probability Pub Date : 2023-08-31 DOI: 10.1007/s13171-023-00322-w
Nesrine Kara Terki, T. Mourid
{"title":"Exponential Bounds and Convergence Rates of Sieve Estimators for Functional Autoregressive Processes","authors":"Nesrine Kara Terki, T. Mourid","doi":"10.1007/s13171-023-00322-w","DOIUrl":"https://doi.org/10.1007/s13171-023-00322-w","url":null,"abstract":"","PeriodicalId":46728,"journal":{"name":"Sankhya-Series A-Mathematical Statistics and Probability","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45990969","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
M-estimators for Models with a Mix of Discrete and Continuous Parameters 离散参数与连续参数混合模型的m估计量
IF 0.7
Sankhya-Series A-Mathematical Statistics and Probability Pub Date : 2023-08-30 DOI: 10.1007/s13171-023-00317-7
Ting-Fung Ma, Juan Francisco Mandujano Reyes, Jun Zhu
{"title":"M-estimators for Models with a Mix of Discrete and Continuous Parameters","authors":"Ting-Fung Ma, Juan Francisco Mandujano Reyes, Jun Zhu","doi":"10.1007/s13171-023-00317-7","DOIUrl":"https://doi.org/10.1007/s13171-023-00317-7","url":null,"abstract":"","PeriodicalId":46728,"journal":{"name":"Sankhya-Series A-Mathematical Statistics and Probability","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52730409","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
A Bivariate Teissier Distribution: Properties, Bayes Estimation and Application 二元Teissier分布的性质、Bayes估计及其应用
IF 0.7
Sankhya-Series A-Mathematical Statistics and Probability Pub Date : 2023-08-29 DOI: 10.1007/s13171-023-00314-w
V. Sharma, Sudhanshu V. Singh, A. Pathak
{"title":"A Bivariate Teissier Distribution: Properties, Bayes Estimation and Application","authors":"V. Sharma, Sudhanshu V. Singh, A. Pathak","doi":"10.1007/s13171-023-00314-w","DOIUrl":"https://doi.org/10.1007/s13171-023-00314-w","url":null,"abstract":"","PeriodicalId":46728,"journal":{"name":"Sankhya-Series A-Mathematical Statistics and Probability","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48050470","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
On Weighted Least Squares Estimators for Chirp Like Model Chirp样模型的加权最小二乘估计
IF 0.7
Sankhya-Series A-Mathematical Statistics and Probability Pub Date : 2023-08-22 DOI: 10.1007/s13171-023-00313-x
D. Kundu, Swagata Nandi, Rhythm Grover
{"title":"On Weighted Least Squares Estimators for Chirp Like Model","authors":"D. Kundu, Swagata Nandi, Rhythm Grover","doi":"10.1007/s13171-023-00313-x","DOIUrl":"https://doi.org/10.1007/s13171-023-00313-x","url":null,"abstract":"","PeriodicalId":46728,"journal":{"name":"Sankhya-Series A-Mathematical Statistics and Probability","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44204432","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: 1
Results on a Generalized Fractional Cumulative Entropy 一类广义分数阶累积熵的结果
IF 0.7
Sankhya-Series A-Mathematical Statistics and Probability Pub Date : 2023-08-14 DOI: 10.1007/s13171-023-00316-8
Farid Foroghi, S. Tahmasebi, M. Afshari, Francesco Buono
{"title":"Results on a Generalized Fractional Cumulative Entropy","authors":"Farid Foroghi, S. Tahmasebi, M. Afshari, Francesco Buono","doi":"10.1007/s13171-023-00316-8","DOIUrl":"https://doi.org/10.1007/s13171-023-00316-8","url":null,"abstract":"","PeriodicalId":46728,"journal":{"name":"Sankhya-Series A-Mathematical Statistics and Probability","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41795360","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
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