Uniform Lorden-type bounds for overshoot moments for standard exponential families: small drift and an exponential correction

This paper establishes uniform Lorden-type moment bounds for the overshoot of random walks with sign-changing increments from standard exponential families in the small-drift regime, demonstrating that these bounds improve to a constant of 1 for large barriers and providing explicit exponential convergence rates interpreted through optimal transport metrics.

El'mira Yu. Kalimulina, Mark Ya. KelbertWed, 11 Ma📊 stat

A Bayesian adaptive enrichment design using aggregate historical data to inform individualized treatment recommendations

This paper proposes a Bayesian adaptive enrichment design that leverages aggregate historical data via a normalized power prior to inform individualized treatment recommendations, demonstrating through simulations and a motivating obstructive sleep apnea trial that this approach improves statistical power and efficiency compared to non-borrowing designs.

Lara Maleyeff, Shirin Golchi, Erica E. M. MoodieWed, 11 Ma📊 stat

On the last time and the number of times an estimator is more than epsilon from its target value

This paper establishes the limit distributions for the last occurrence and total count of times a strongly consistent estimator deviates from its target by at least ε\varepsilon as ε0\varepsilon \to 0, providing a unified framework applicable to parametric and nonparametric settings that yields new optimality results for maximum likelihood estimators and methods for constructing sequential confidence sets.

Nils Lid Hjort, Grete FenstadWed, 11 Ma📊 stat

Bayesian Species Distribution Models using Hierarchical Decomposition Priors

This paper introduces a Hierarchical Decomposition prior framework for Bayesian species distribution models that reparametrizes variance components to enable transparent, ecologically meaningful control over the relative contributions of environmental, spatial, and temporal processes, as demonstrated through improved interpretability and comparable predictive performance on fish distribution data.

Luisa Ferrari, Massimo Ventrucci, Alex LainiWed, 11 Ma📊 stat

Second order asymptotics for the number of times an estimator is more than epsilon from its target value

This paper investigates second-order asymptotics for the number of times a strongly consistent estimator deviates from its target by more than ε\varepsilon, introducing a concept of "asymptotic relative deficiency" to distinguish between estimators with identical first-order efficiency and demonstrating that specific finite-sample corrections (such as using n1/3n-1/3 for normal variance) minimize the expected number of such errors.

Nils Lid Hjort, Grete FenstadWed, 11 Ma📊 stat

Sampling on Discrete Spaces with Temporal Point Processes

This paper introduces a novel sampling framework using multivariate temporal point processes modeled as coupled infinite-server queues to efficiently sample from discrete distributions with downward-closed support, demonstrating superior performance over existing birth-death and Zanella processes while enabling biologically plausible recurrent neural network applications.

Cameron A. Stewart (Gatsby Computational Neuroscience Unit, University College London, London, U.K), Maneesh Sahani (Gatsby Computational Neuroscience Unit, University College London, London, U.K)Wed, 11 Ma📊 stat

Distribution-free screening of spatially variable genes in spatial transcriptomics

This paper introduces MM-test, a distribution-free method that combines a novel quasi-likelihood ratio statistic with a knockoff procedure to accurately identify spatially variable genes and control false discovery rates in both 2D and 3D spatial transcriptomics data, outperforming existing methods in benchmarking and real-world applications.

Changhu Wang, Qiyun Huang, Zihao Chen, Jin Liu, Ruibin XiWed, 11 Ma📊 stat