Statistics Theory

Authors and titles for April 2025

[1] arXiv:2504.00217 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Non-Asymptotic Analysis of Classical Spectrum Estimators for $L$-mixing Time-series Data with Unknown Means Show Chinese title

Title: 非渐近分析经典谱估计器在未知均值的$L$-混合时间序列数据中的应用

Yuping Zheng, Andrew Lamperski

Comments: 7 pages, 2 figures, Under Review for Conference on Decision and Control 2025

Subjects: Statistics Theory (math.ST) ; Systems and Control (eess.SY)

[2] arXiv:2504.00243 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Non-parametric cure models through extreme-value tail estimation Show Chinese title

Title: 非参数治愈模型通过极值尾部分估计

Jan Beirlant, Martin Bladt, Ingrid Van Keilegom

Subjects: Statistics Theory (math.ST)

[3] arXiv:2504.00593 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: Power comparison of sequential testing by betting procedures Show Chinese title

Title: 序贯检验的赌注程序比较

Amaury Durand (EDF R\&D OSIRIS), Olivier Wintenberger (SU)

Subjects: Statistics Theory (math.ST)

[4] arXiv:2504.00919 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Nonparametric spectral density estimation using interactive mechanisms under local differential privacy Show Chinese title

Title: 使用交互机制在局部差分隐私下进行非参数谱密度估计

Cristina Butucea, Karolina Klockmann, Tatyana Krivobokova

Comments: 47 pages

Subjects: Statistics Theory (math.ST) ; Machine Learning (stat.ML)

[5] arXiv:2504.01113 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Confidence Bands for Multiparameter Persistence Landscapes Show Chinese title

Title: 多参数持久性景观的置信带

Inés García-Redondo, Anthea Monod, Qiquan Wang

Comments: 11 pages, 1 figure

Subjects: Statistics Theory (math.ST) ; Computational Geometry (cs.CG) ; Algebraic Topology (math.AT)

[6] arXiv:2504.01247 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: On spectral gap decomposition for Markov chains Show Chinese title

Title: 关于马尔可夫链的谱隙分解

Qian Qin

Subjects: Statistics Theory (math.ST) ; Probability (math.PR)

[7] arXiv:2504.01318 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: Tail Bounds for Canonical $U$-Statistics and $U$-Processes with Unbounded Kernels Show Chinese title

Title: 尾界对于典范的$U$-统计量和核函数无界的$U$-过程

Abhishek Chakrabortty, Arun K. Kuchibhotla

Comments: This is a slightly edited version of the 2018 draft available at https://faculty.wharton.upenn.edu/wp-content/uploads/2018/10/Chakrabortty-UStat-Draft.pdf. Added more comments on the assumptions and the proof technique of Theorem 1. Corrected a few typos. More improvements to follow in the future for the U-process results

Subjects: Statistics Theory (math.ST) ; Probability (math.PR)

[8] arXiv:2504.01535 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: On Robust Empirical Likelihood for Nonparametric Regression with Application to Regression Discontinuity Designs Show Chinese title

Title: 关于非参数回归的稳健经验似然及其在断点回归设计中的应用

Qin Fang, Shaojun Guo, Yang Hong, Xinghao Qiao

Comments: 35 pages, 2 figures, 5 tables

Subjects: Statistics Theory (math.ST) ; Econometrics (econ.EM) ; Methodology (stat.ME)

[9] arXiv:2504.01562 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Asymptotic analysis of the finite predictor for the fractional Gaussian noise Show Chinese title

Title: 分数高斯噪声有限预测器的渐近分析

P. Chigansky, M. Kleptsyna

Subjects: Statistics Theory (math.ST) ; Probability (math.PR)

[10] arXiv:2504.01781 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Proper scoring rules for estimation and forecast evaluation Show Chinese title

Title: 用于估计和预测评估的合理评分规则

Kartik Waghmare, Johanna Ziegel

Subjects: Statistics Theory (math.ST) ; Machine Learning (stat.ML)

[11] arXiv:2504.01836 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Estimating hazard rates from $δ$-records in discrete distributions Show Chinese title

Title: 估计离散分布中$δ$记录的危险率

Martín Alcalde, Miguel Lafuente, F. Javier López, Lina Maldonado, Gerardo Sanz

Subjects: Statistics Theory (math.ST)

[12] arXiv:2504.02292 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: Unifying Different Theories of Conformal Prediction Show Chinese title

Title: 统一不同的确认预测理论

Rina Foygel Barber, Ryan J. Tibshirani

Subjects: Statistics Theory (math.ST)

[13] arXiv:2504.02381 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Fermat Distance-to-Measure: a robust Fermat-like metric Show Chinese title

Title: 费马距离测度：一种鲁棒的类费马度量

Jérôme Taupin (LMO, ENS-PSL), Frédéric Chazal (LMO)

Subjects: Statistics Theory (math.ST)

[14] arXiv:2504.02649 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: The Markov approximation of the periodic multivariate Poisson autoregression Show Chinese title

Title: 周期多变量泊松自回归的马尔可夫近似

Mahmoud Khabou, Edward A. K. Cohen, Almut E. D. Veraart

Subjects: Statistics Theory (math.ST) ; Probability (math.PR)

[15] arXiv:2504.02818 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: Universal Log-Optimality for General Classes of e-processes and Sequential Hypothesis Tests Show Chinese title

Title: 通用对数最优性对于广义 e-过程类和序贯假设检验

Ian Waudby-Smith, Ricardo Sandoval, Michael I. Jordan

Subjects: Statistics Theory (math.ST) ; Methodology (stat.ME)

[16] arXiv:2504.02950 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Kullback-Leibler Consistency of $p$-dimensional Pólya Tree Posteriors and Differential Entropy Estimation Show Chinese title

Title: Kullback-Leibler一致性：$p$维Pólya树后验与微分熵估计

Fernando Corrêa, Rafael Bassi Stern, Julio Michael Stern

Comments: 20 pages

Subjects: Statistics Theory (math.ST)

[17] arXiv:2504.02974 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Testing hypotheses generated by constraints Show Chinese title

Title: 由约束生成的假设的检验

Martin Larsson, Aaditya Ramdas, Johannes Ruf

Subjects: Statistics Theory (math.ST)

[18] arXiv:2504.03066 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: A Lanczos-Based Algorithmic Approach for Spike Detection in Large Sample Covariance Matrices Show Chinese title

Title: 基于Lanczos的大型样本协方差矩阵中尖峰检测的算法方法

Charbel Abi Younes, Xiucai Ding, Thomas Trogdon

Subjects: Statistics Theory (math.ST) ; Probability (math.PR) ; Computation (stat.CO)

[19] arXiv:2504.03321 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Adaptive sparse variational approximations for Gaussian process regression Show Chinese title

Title: 自适应稀疏变分近似用于高斯过程回归

Dennis Nieman, Botond Szabó

Subjects: Statistics Theory (math.ST) ; Machine Learning (stat.ML)

[20] arXiv:2504.03390 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Eigen-inference by Marchenko-Pastur inversion Show Chinese title

Title: 通过Marchenko-Pastur反演的特征推断

Ben Deitmar

Comments: 44 pages, 12 figures

Subjects: Statistics Theory (math.ST)

[21] arXiv:2504.03405 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: On the rate of convergence of an over-parametrized deep neural network regression estimate learned by gradient descent Show Chinese title

Title: 关于通过梯度下降学习的过参数化深度神经网络回归估计的收敛速度

Michael Kohler

Subjects: Statistics Theory (math.ST)

[22] arXiv:2504.03427 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: On empirical Hodge Laplacians under the manifold hypothesis Show Chinese title

Title: 关于流形假设下的经验霍奇拉普拉斯算子

Jan-Paul Lerch, Martin Wahl

Comments: 28 pages

Subjects: Statistics Theory (math.ST) ; Differential Geometry (math.DG) ; Probability (math.PR)

[23] arXiv:2504.03466 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Identifiability of VAR(1) model in a stationary setting Show Chinese title

Title: VAR(1)模型在平稳设定下的可识别性

Bixuan Liu

Subjects: Statistics Theory (math.ST)

[24] arXiv:2504.03916 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: Common Drivers in Sparsely Interacting Hawkes Processes Show Chinese title

Title: 稀疏交互霍克斯过程的共同驱动因素

Alexander Kreiss, Enno Mammen, Wolfgang Polonik

Subjects: Statistics Theory (math.ST)

[25] arXiv:2504.04682 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Gaussian Mean Testing under Truncation Show Chinese title

Title: 截断下的高斯均值检验

Clément L. Canonne, Themis Gouleakis, Yuhao Wang, Joy Qiping Yang

Subjects: Statistics Theory (math.ST)

[26] arXiv:2504.04762 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Extension of Yager's negation of probability distribution based on uncertainty measures Show Chinese title

Title: 基于不确定性度量的Yager概率分布否定的扩展

Santosh Kumar Chaudhary, Pradeep Kumar Sahu, Nitin Gupta

Subjects: Statistics Theory (math.ST)

[27] arXiv:2504.04923 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Truncated sequential guaranteed estimation for the Cox-Ingersoll-Ross models Show Chinese title

Title: 关于Cox-Ingersoll-Ross模型的截断序列保证估计

Mohamed Ben Alaya, Thi-Bao Trâm Ngô, Serguei Pergamenchtchikov

Subjects: Statistics Theory (math.ST)

[28] arXiv:2504.05661 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: Online Bernstein-von Mises theorem Show Chinese title

Title: 在线伯恩斯坦-冯·米塞斯定理

Jeyong Lee, Junhyeok Choi, Minwoo Chae

Comments: 107 pages, 1 figure

Subjects: Statistics Theory (math.ST)

[29] arXiv:2504.05713 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Revisiting poverty measures using quantile functions Show Chinese title

Title: 基于分位数函数重新审视贫困测量方法

N. Unnikrishnan Nair, S.M.Sunoj

Subjects: Statistics Theory (math.ST)

[30] arXiv:2504.05819 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Nonparametric local polynomial regression for functional covariates Show Chinese title

Title: 非参数局部多项式回归，用于函数型协变量

Moritz Jirak, Alois Kneip, Alexander Meister, Mario Pahl

Subjects: Statistics Theory (math.ST)

[31] arXiv:2504.06453 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: Bounds in Wasserstein Distance for Locally Stationary Functional Time Series Show Chinese title

Title: Wasserstein 距离下的局部平稳函数时间序列的界

Jan Nino G. Tinio, Mokhtar Z. Alaya, Salim Bouzebda

Subjects: Statistics Theory (math.ST) ; Machine Learning (stat.ML)

[32] arXiv:2504.06516 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Estimation of rates in population-age-dependent processes by means of test functions Show Chinese title

Title: 通过测试函数估计种群年龄依赖过程中的速率

Jie Yen Fan, Kais Hamza, Fima C. Klebaner, Ziwen Zhong

Comments: 21 pages, 7 figures, submitted to MATRIX Annals

Subjects: Statistics Theory (math.ST) ; Probability (math.PR) ; Populations and Evolution (q-bio.PE)

[33] arXiv:2504.06569 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: An Unbiased Variance Estimator with Denominator $N$ Show Chinese title

Title: 一个分母为$N$的无偏方差估计量

Dai Akita

Comments: 13 pages

Subjects: Statistics Theory (math.ST)

[34] arXiv:2504.06984 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: Weak Signals and Heavy Tails: Machine-learning meets Extreme Value Theory Show Chinese title

Title: 弱信号与重尾：机器学习遇见极值理论

Stephan Clémençon, Anne Sabourin

Comments: changes in latest version: Prop. 4.1 minor edit ; Section 5 re-organized for clarity with some changes in content

Subjects: Statistics Theory (math.ST)

[35] arXiv:2504.07351 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: A GARMA Framework for Unit-Bounded Time Series Based on the Unit-Lindley Distribution with Application to Renewable Energy Data Show Chinese title

Title: 基于单位-Lindley分布的单位有界时间序列的GARMA框架及其在可再生能源数据中的应用

Guilherme Pumi, Danilo Hiroshi Matsuoka, Taiane Schaedler Prass

Comments: arXiv admin note: text overlap with arXiv:2502.18645

Subjects: Statistics Theory (math.ST) ; Applications (stat.AP)

[36] arXiv:2504.07704 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Measures of non-simplifyingness for conditional copulas and vines Show Chinese title

Title: 条件Copula和vines的非简化性度量

Alexis Derumigny

Comments: 22 pages, 1 figure

Subjects: Statistics Theory (math.ST) ; Other Statistics (stat.OT)

[37] arXiv:2504.07921 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: Note on the identification of total effect in Cluster-DAGs with cycles Show Chinese title

Title: 关于具有循环的聚类DAG中总效应的识别注意事项

Clément Yvernes

Subjects: Statistics Theory (math.ST) ; Artificial Intelligence (cs.AI)

[38] arXiv:2504.08435 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: High-dimensional Gaussian and bootstrap approximations for robust means Show Chinese title

Title: 高维高斯和自助法逼近稳健均值

Anders Bredahl Kock, David Preinerstorfer

Subjects: Statistics Theory (math.ST)

[39] arXiv:2504.08482 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Winsorized mean estimation with heavy tails and adversarial contamination Show Chinese title

Title: 重尾和对抗污染下的 Winsorized 均值估计

Anders Bredahl Kock, David Preinerstorfer

Subjects: Statistics Theory (math.ST)

[40] arXiv:2504.08489 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Statistically guided deep learning Show Chinese title

Title: 统计引导的深度学习

Michael Kohler, Adam Krzyzak

Comments: arXiv admin note: text overlap with arXiv:2504.03405

Subjects: Statistics Theory (math.ST) ; Machine Learning (cs.LG) ; Machine Learning (stat.ML)

[41] arXiv:2504.08956 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Estimation of Change Points for Non-linear (auto-)regressive processes using Neural Network Functions Show Chinese title

Title: 基于神经网络函数的非线性（自）回归过程变化点估计

Claudia Kirch, Stefanie Schwaar

Subjects: Statistics Theory (math.ST)

[42] arXiv:2504.09564 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: The weak-feature-impact effect on the NPMLE in monotone binary regression Show Chinese title

Title: 单调二元回归中弱特征影响对NPMLE的影响

Dario Kieffer, Angelika Rohde

Comments: Added lower bounds

Subjects: Statistics Theory (math.ST)

[43] arXiv:2504.09872 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Estimation for linear parabolic SPDEs in two space dimensions with unknown damping parameters Show Chinese title

Title: 二空间维线性抛物型SPDE的未知阻尼参数估计

Yozo Tonaki, Yusuke Kaino, Masayuki Uchida

Subjects: Statistics Theory (math.ST)

[44] arXiv:2504.10022 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Parameters estimation of a Threshold Chan-Karolyi-Longstaff-Sanders process from continuous and discrete observations Show Chinese title

Title: 基于连续和离散观测的阈值Chan-Karolyi-Longstaff-Sanders过程的参数估计

Sara Mazzonetto, Benoît Nieto

Subjects: Statistics Theory (math.ST) ; Probability (math.PR)

[45] arXiv:2504.10171 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Kullback-Leibler excess risk bounds for exponential weighted aggregation in Generalized linear models Show Chinese title

Title: 广义线性模型中指数加权聚合的Kullback-Leibler超额风险界

The Tien Mai

Subjects: Statistics Theory (math.ST) ; Machine Learning (stat.ML)

[46] arXiv:2504.10257 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: Spectral estimation for high-dimensional linear processes Show Chinese title

Title: 高维线性过程的谱估计

Jamshid Namdari, Alexander Aue, Debashis Paul

Subjects: Statistics Theory (math.ST)

[47] arXiv:2504.10652 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: Bayesian analysis of regression discontinuity designs with heterogeneous treatment effects Show Chinese title

Title: 具有异质处理效应的回归断点设计的贝叶斯分析

Kevin Tao, Y. Samuel Wang, David Ruppert

Comments: 43 pages, 2 figures

Subjects: Statistics Theory (math.ST) ; Methodology (stat.ME)

[48] arXiv:2504.10653 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: On the Contractivity of Stochastic Interpolation Flow Show Chinese title

Title: 关于随机插值流的收缩性

Max Daniels

Comments: Proof of concept. I would be excited to chat about extensions!

Subjects: Statistics Theory (math.ST) ; Machine Learning (cs.LG) ; Machine Learning (stat.ML)

[49] arXiv:2504.10719 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Power properties of the two-sample test based on the nearest neighbors graph Show Chinese title

Title: 基于最近邻图的两样本检验的功率特性

Rahul Raphael Kanekar

Comments: 62 pages, 12 figures. Author's contact information added, minor changes done to make results easier to understand

Subjects: Statistics Theory (math.ST)

[50] arXiv:2504.10866 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: Gaussian Approximation for High-Dimensional $U$-statistics with Size-Dependent Kernels Show Chinese title

Title: 高维$U$-统计量具有大小相关核的高斯近似

Shunsuke Imai, Yuta Koike

Subjects: Statistics Theory (math.ST)