Frederic J. N. Jorgensen, Youssef M. Marzouk A Bayesian Characterization of Ensemble Kalman Updates https://arxiv.org/abs/2510.00158

Art B. Owen Zero variance self-normalized importance sampling via estimating equations https://arxiv.org/abs/2510.00389

Gao Huang, Song Li, Deanna Needell Stable Phase Retrieval: Optimal Rates in Poisson and Heavy-tailed Models https://arxiv.org/abs/2510.00551

Kelvyn K. Bladen, D. Richard Cutler, Alan Wisler Mathematical Theory of Collinearity Effects on Machine Learning Variable Importance Measures https://arxiv.org/abs/2510.00557

Erik Lager, Gilles Mordant, Amit Moscovich Quantifying the noise sensitivity of the Wasserstein metric for images https://arxiv.org/abs/2510.01015

Dat Do, Sunrit Chakraborty, Jonathan Terhorst, XuanLong Nguyen Moment tensors of Dirichlet distributions and learning Latent Dirichlet Allocation https://arxiv.org/abs/2509.25441

Sean McGrath, Debarghya Mukherjee, Rajarshi Mukherjee, Zixiao Jolene Wang Optimal Nuisance Function Tuning for Estimating a Doubly Robust Functional under Proportional Asymptotics https://arxiv.org/abs/2509.25536

Jie Xie, Dongming Huang Minimax and adaptive estimation of general linear functionals under sparsity https://arxiv.org/abs/2509.25595

Richard J. Samworth Nonparametric inference under shape constraints: past, present and future https://arxiv.org/abs/2509.26040

Micha\"el Lalancette, Robert Zimmerman A Tractable Family of Smooth Copulas with Rotational Dependence: Properties, Inference, and Application https://arxiv.org/abs/2509.26635

Yuqing Liu Generalization Analysis for Classification on Korobov Space https://arxiv.org/abs/2509.22748

Sheng Xu, Anderson Ye Zhang, Amit Singer Misspecified Maximum Likelihood Estimation for Non-Uniform Group Orbit Recovery https://arxiv.org/abs/2509.22945

Yuchen Chen, Yandi Shen Learning single index model with gradient descent: spectral initialization and precise asymptotics https://arxiv.org/abs/2509.23527

Luce Breuil, Sarah Kaaka\"i Nonparametric hazard rate estimation with associated kernels and minimax bandwidth choice https://arxiv.org/abs/2509.24535

Rapha\"el Tr\'esor, Mykola Lukashchuk Resolution of the Borel-Kolmogorov Paradox via the Maximum Entropy Principle https://arxiv.org/abs/2509.24735

Jordi-Llu\'is Figueras, Aron Persson Autoregressive Processes on Stiefel and Grassmann Manifolds https://arxiv.org/abs/2509.24767

Zikang Xiong, Hong Qin, Yuning Huang, Jianhui Ning Sliced Space-filling Design with Mixtures https://arxiv.org/abs/2509.21827

Zhengyan Wan, Yidong Ouyang, Qiang Yao, Liyan Xie, Fang Fang, Hongyuan Zha, Guang Cheng Error Analysis of Discrete Flow with Generator Matching https://arxiv.org/abs/2509.21906

Andrea Rotnitzky, Ezequiel Smucler, James M. Robins A note on the relation between one--step, outcome regression and IPW--type estimators of parameters with the mixed bias property https://arxiv.org/abs/2509.22452

Ryan Carey, Marina Maciel Ansanelli, Elie Wolfe, Robin J. Evans Distinguishability of causal structures under latent confounding and selection https://arxiv.org/abs/2509.20433

Marta Catalano, Hugo Lavenant, Francesco Mascari Measuring Partial Exchangeability with Reproducing Kernel Hilbert Spaces https://arxiv.org/abs/2509.20221

Z Zhang, X Hu, C Lu, T Liu Indirect Statistical Inference with Guaranteed Necessity and Sufficiency https://arxiv.org/abs/2509.20249

Sunder Ram Krishnan Improving Cram\'er-Rao Bound With Multivariate Parameters: An Extrinsic Geometry Perspective https://arxiv.org/abs/2509.18978

Orlando Marigliano, Eva Riccomagno Markov Combinations of Discrete Statistical Models https://arxiv.org/abs/2509.18983

Nils Detering, Paul Eisenberg, Nicole Hufnagel Monte Carlo on a single sample https://arxiv.org/abs/2509.17025

Yuzo Maruyama, Akimichi Takemura A new perspective on dominating the James-Stein estimator https://arxiv.org/abs/2509.17504

Sunder Ram Krishnan Improving Cram\'er-Rao Bound And Its Variants: An Extrinsic Geometry Perspective https://arxiv.org/abs/2509.17886

Mohamed Kaber El Alem, Zohra Guessoum, Abdelkader Tatachak, Ourida Sadki On the convergence rate in the central limit theorem for linearly extended negative quadrant dependent random variables and its applications https://arxiv.org/abs/2509.15353

Jie Zhou, Junhao Xie, Jiaqi Chen Direct Estimation of Eigenvalues of Large Dimensional Precision Matrix https://arxiv.org/abs/2509.15554

Haolin Zou, Heyuan Yao, Victor de la Pe\~na A Scalable Formula for the Moments of a Family of Self-Normalized Statistics https://arxiv.org/abs/2509.14428

Anamitra Chaudhuri, Yang Ni, Anirban Bhattacharya Consistent causal discovery with equal error variances: a least-squares perspective https://arxiv.org/abs/2509.15197

Peter Hoff, Surya Tokdar Selective and marginal selective inference for exceptional groups https://arxiv.org/abs/2509.13538

Daniel Bartl, Gabor Lugosi, Roberto Imbuzeiro Oliveira, Zoraida F. Rico Robust, sub-Gaussian mean estimators in metric spaces https://arxiv.org/abs/2509.13606

Haoyi Yang, Satarupa Bhattacharjee, Lingzhou Xue, Bing Li Variable Selection for Additive Global Fr\'echet Regression https://arxiv.org/abs/2509.13685

Michel Groppe, Linus Niem\"oller, Shayan Hundrieser, David Ventzke, Anna Blob, Sarah K\"oster, Axel Munk Optimal Transport Based Testing in Factorial Design https://arxiv.org/abs/2509.13970

Rieko Tasaka, Tatsuya Kimura, Joe Suzuki Spacing Test for Fused Lasso https://arxiv.org/abs/2509.14229

Koustav Mallik Haussdorff consistency of MLE in folded normal and Gaussian mixtures https://arxiv.org/abs/2509.12206

Jakob R. Juergens Jackknife Variance Estimation for H\'ajek-Dominated Generalized U-Statistics https://arxiv.org/abs/2509.12356

Yiguo Liang, Yanjun Han Sharp mean-field analysis of permutation mixtures and permutation-invariant decisions https://arxiv.org/abs/2509.12584

Carola Sophia Heinzel A Statistical Test for Comparing the Linkage and Admixture Model Based on Central Limit Theorems https://arxiv.org/abs/2509.12734

Romane Giard (ECL, ICJ, PSPM), Yohann de Castro (ICJ, ECL, PSPM, IUF), Cl\'ement Marteau (PSPM, ICJ, UCBL) Gaussian Mixture Model with unknown diagonal covariances via continuous sparse regularization https://arxiv.org/abs/2509.12889

Martin Andersson, Benny Avelin, Valentin Garino, Pauliina Ilmonen, Lauri Viitasaari Non-parametric estimation of non-linear diffusion coefficient in parabolic SPDEs https://arxiv.org/abs/2509.12921

Nick W. Koning, Sam van Meer Optimal Conformal Prediction, E-values, Fuzzy Prediction Sets and Subsequent Decisions https://arxiv.org/abs/2509.13130

Nicholas G. Polson, Daniel Zantedeschi De Finetti + Sanov = Bayes https://arxiv.org/abs/2509.13283

Bilol Banerjee Efficient High-Dimensional Conditional Independence Testing https://arxiv.org/abs/2509.10817

Aranyak Acharyya, Carey E. Priebe, Hayden S. Helm Testing for LLM response differences: the case of a composite null consisting of semantically irrelevant query perturbations https://arxiv.org/abs/2509.10963

Matias D. Cattaneo, Jason M. Klusowski, Ruiqi Rae Yu The Honest Truth About Causal Trees: Accuracy Limits for Heterogeneous Treatment Effect Estimation https://arxiv.org/abs/2509.11381

Marco Lanucara About the Multiplicative Inverse of a Non-Zero-Mean Gaussian Process https://arxiv.org/abs/2509.11650

Parijat Chakraborty, F. Richard Guo, Kerby Shedden, Stilian Stoev On the universal calibration of Pareto-type linear combination tests https://arxiv.org/abs/2509.12066

Zhangsong Li A Smooth Computational Transition in Tensor PCA https://arxiv.org/abs/2509.09904