MCMC using bouncy\textit{bouncy} Hamiltonian dynamics: A unifying framework for Hamiltonian Monte Carlo and piecewise deterministic Markov process samplers

This paper introduces a unifying framework based on bouncy Hamiltonian dynamics that rigorously connects Hamiltonian Monte Carlo and piecewise deterministic Markov process samplers, enabling the construction of rejection-free, competitive samplers that bridge the gap between these two major Bayesian inference paradigms.

Andrew Chin, Akihiko Nishimura2026-03-10📊 stat

Computationally efficient multi-level Gaussian process regression for functional data observed under completely or partially regular sampling designs

This paper introduces a computationally efficient multi-level Gaussian process regression framework with exact analytic expressions for log-likelihood and posterior distributions under regular or partially regular sampling designs, enabling the analysis of large functional datasets that are otherwise intractable with standard implementations.

Adam Gorm Hoffmann, Claus Thorn Ekstrøm, Andreas Kryger Jensen2026-03-10📊 stat

A Restricted Latent Class Model with Polytomous Attributes and Respondent-Level Covariates

This paper introduces an exploratory restricted latent class model that accommodates polytomous responses, ordinal multi-attribute states with correlated attributes via a multivariate probit specification, and respondent-level covariates, demonstrating its effectiveness in recovering parameters and revealing complex latent structures in depression diagnosis beyond traditional single-factor approaches.

Eric Alan Wayman, Steven Andrew Culpepper, Jeff Douglas + 1 more2026-03-10📊 stat

Intrinsic Geometry-Based Angular Covariance: A Novel Framework for Nonparametric Changepoint Detection in Meteorological Data

This paper introduces a novel nonparametric framework for detecting changepoints in the mean direction of toroidal and spherical meteorological data by leveraging intrinsic geometry to define a curved dispersion matrix and Mahalanobis distance, establishing the statistical properties of the proposed tests and validating them on wind-wave directions and cyclonic storm paths.

Surojit Biswas, Buddhananda Banerjee, Arnab Kumar Laha2026-03-10📊 stat

On noncentral Wishart mixtures of noncentral Wisharts and their use for testing random effects in factorial design models

This paper demonstrates that a noncentral Wishart mixture of noncentral Wishart distributions with identical degrees of freedom remains a noncentral Wishart distribution, a result used to derive the finite-sample distribution for testing random effects in two-factor and general factorial design models with multivariate normal data.

Christian Genest, Anne MacKay, Frédéric Ouimet2026-03-10📊 stat

Identifying Treatment Effect Heterogeneity with Bayesian Hierarchical Adjustable Random Partition in Adaptive Enrichment Trials

This paper introduces the Bayesian Hierarchical Adjustable Random Partition (BHARP) model, a self-contained framework that utilizes a finite mixture model and reversible-jump Markov chain Monte Carlo sampling to automatically identify treatment effect heterogeneity and adjust information borrowing in adaptive enrichment trials, thereby outperforming existing methods in accuracy and precision.

Xianglin Zhao, Shirin Golchi, Jean-Philippe Gouin + 1 more2026-03-06📊 stat

Estimating the distance at which narwhal (Monodon monoceros)(\textit{Monodon monoceros}) respond to disturbance: a penalized threshold hidden Markov model

This paper introduces a novel lasso-penalized threshold hidden Markov model that effectively distinguishes meaningful behavioral shifts from spurious noise, revealing that narwhals react to vessel disturbances up to 4 kilometers away by altering their movement patterns and diving deeper.

Fanny Dupont, Marianne Marcoux, Nigel E. Hussey + 2 more2026-03-06📊 stat