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Central limit theorems for semi-discrete Wasserstein distances 半离散瓦瑟斯坦距离的中心极限定理
IF 1.5 2区 数学
Bernoulli Pub Date : 2024-02-01 DOI: 10.3150/23-bej1608
E. del Barrio, Alberto González Sanz, J. Loubes
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引用次数: 0
Semiparametric regression of panel count data with informative terminal event 具有信息性终末事件的面板计数数据的半参数回归
IF 1.5 2区 数学
Bernoulli Pub Date : 2023-11-01 DOI: 10.3150/22-bej1565
Xiangbin Hu, Li Liu, Ying Zhang, Xingqiu Zhao
{"title":"Semiparametric regression of panel count data with informative terminal event","authors":"Xiangbin Hu, Li Liu, Ying Zhang, Xingqiu Zhao","doi":"10.3150/22-bej1565","DOIUrl":"https://doi.org/10.3150/22-bej1565","url":null,"abstract":"","PeriodicalId":55387,"journal":{"name":"Bernoulli","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41555591","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
On the mean perimeter density of inhomogeneous random closed sets 关于非齐次随机闭集的平均周长密度
IF 1.5 2区 数学
Bernoulli Pub Date : 2023-11-01 DOI: 10.3150/22-bej1558
Elena Villa
{"title":"On the mean perimeter density of inhomogeneous random closed sets","authors":"Elena Villa","doi":"10.3150/22-bej1558","DOIUrl":"https://doi.org/10.3150/22-bej1558","url":null,"abstract":"","PeriodicalId":55387,"journal":{"name":"Bernoulli","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48689905","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
Necessary and sufficient conditions for the asymptotic normality of higher order Turing estimators 高阶图灵估计渐近正态性的充分必要条件
2区 数学
Bernoulli Pub Date : 2023-11-01 DOI: 10.3150/23-bej1587
Jie Chang, Michael Grabchak
{"title":"Necessary and sufficient conditions for the asymptotic normality of higher order Turing estimators","authors":"Jie Chang, Michael Grabchak","doi":"10.3150/23-bej1587","DOIUrl":"https://doi.org/10.3150/23-bej1587","url":null,"abstract":"This paper establishes necessary and sufficient conditions for the asymptotic normality of higher order Turing estimators. It further gives several easy to verify sufficient conditions. These conditions are then used to show that the assumptions hold for large classes of distributions with regularly varying tails. This includes classes for which asymptotic normality had not been previously verified.","PeriodicalId":55387,"journal":{"name":"Bernoulli","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136172321","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
Bootstrap inference in functional linear regression models with scalar response 标量响应函数线性回归模型中的Bootstrap推理
IF 1.5 2区 数学
Bernoulli Pub Date : 2023-11-01 DOI: 10.3150/22-bej1554
Hyemin Yeon, Xiongtao Dai, D. Nordman
{"title":"Bootstrap inference in functional linear regression models with scalar response","authors":"Hyemin Yeon, Xiongtao Dai, D. Nordman","doi":"10.3150/22-bej1554","DOIUrl":"https://doi.org/10.3150/22-bej1554","url":null,"abstract":"","PeriodicalId":55387,"journal":{"name":"Bernoulli","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42658635","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
Joint density of the stable process and its supremum: Regularity and upper bounds 稳定过程的联合密度及其上确界：正则性和上界
IF 1.5 2区 数学
Bernoulli Pub Date : 2023-11-01 DOI: 10.3150/23-bej1590
J. G. González Cázares, A. Kohatsu-Higa, A. Mijatović
{"title":"Joint density of the stable process and its supremum: Regularity and upper bounds","authors":"J. G. González Cázares, A. Kohatsu-Higa, A. Mijatović","doi":"10.3150/23-bej1590","DOIUrl":"https://doi.org/10.3150/23-bej1590","url":null,"abstract":"","PeriodicalId":55387,"journal":{"name":"Bernoulli","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45286231","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
Cramér type moderate deviations for the Grenander estimator near the boundaries of the support 在支持边界附近的Grenander估计器的cram<s:1>型中等偏差
IF 1.5 2区 数学
Bernoulli Pub Date : 2023-11-01 DOI: 10.3150/22-bej1566
F. Gao, Hui Jiang, Xingqiu Zhao
{"title":"Cramér type moderate deviations for the Grenander estimator near the boundaries of the support","authors":"F. Gao, Hui Jiang, Xingqiu Zhao","doi":"10.3150/22-bej1566","DOIUrl":"https://doi.org/10.3150/22-bej1566","url":null,"abstract":"","PeriodicalId":55387,"journal":{"name":"Bernoulli","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43132086","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
Additive regression with parametric help 带参数帮助的加法回归
IF 1.5 2区 数学
Bernoulli Pub Date : 2023-11-01 DOI: 10.3150/22-bej1575
H. Hong, Young K. Lee, Byeong-U Park
{"title":"Additive regression with parametric help","authors":"H. Hong, Young K. Lee, Byeong-U Park","doi":"10.3150/22-bej1575","DOIUrl":"https://doi.org/10.3150/22-bej1575","url":null,"abstract":"","PeriodicalId":55387,"journal":{"name":"Bernoulli","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49551018","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
Conditional quantiles: An operator-theoretical approach 条件分位数:一种算子理论方法
2区 数学
Bernoulli Pub Date : 2023-08-01 DOI: 10.3150/22-bej1546
Luciano de Castro, Bruno N. Costa, Antonio F. Galvao, Jorge P. Zubelli
{"title":"Conditional quantiles: An operator-theoretical approach","authors":"Luciano de Castro, Bruno N. Costa, Antonio F. Galvao, Jorge P. Zubelli","doi":"10.3150/22-bej1546","DOIUrl":"https://doi.org/10.3150/22-bej1546","url":null,"abstract":"This paper derives several novel properties of conditional quantiles viewed as nonlinear operators. The results are organized in parallel to the usual properties of the expectation operator. We first define a τ-conditional quantile random set, relative to any sigma-algebra, as a set of solutions of an optimization problem. Then, well-known properties of unconditional quantiles, as translation invariance, comonotonicity, and equivariance to monotone transformations, are generalized to the conditional case. Moreover, a simple proof for Jensen’s inequality for conditional quantiles is provided. We also investigate continuity of conditional quantiles as operators with respect to different topologies and obtain a novel Fatou’s lemma for quantiles. Conditions for continuity in Lp and weak continuity are also derived. Then, the differentiability properties of quantiles are addressed. We demonstrate the validity of Leibniz’s rule for conditional quantiles for the cases of monotone, as well as separable functions. Finally, although the law of iterated quantiles does not hold in general, we characterize the maximum set of random variables for which this law holds, and investigate its consequences for the infinite composition of conditional quantiles.","PeriodicalId":55387,"journal":{"name":"Bernoulli","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135516896","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
Stability of the Poincaré constant 庞加莱常数的稳定性
IF 1.5 2区 数学
Bernoulli Pub Date : 2023-05-01 DOI: 10.3150/22-bej1499
Serres Jordan
{"title":"Stability of the Poincaré constant","authors":"Serres Jordan","doi":"10.3150/22-bej1499","DOIUrl":"https://doi.org/10.3150/22-bej1499","url":null,"abstract":"","PeriodicalId":55387,"journal":{"name":"Bernoulli","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47785827","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
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