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

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

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

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

Inferring the dynamics of quasi-reaction systems via nonlinear local mean-field approximations

This paper proposes a nonlinear local mean-field approximation method that utilizes a first-order Taylor expansion of hazard rates to enable efficient and robust parameter estimation for quasi-reaction systems, particularly outperforming existing SDE and ODE-based approaches when dealing with large time gaps between observations and stiff biological dynamics.

Matteo Framba, Veronica Vinciotti, Ernst C. Wit2026-03-10🧬 q-bio