Recent advances in directional statistics

A Pewsey, E García-Portugués - Test, 2021 - Springer
Mainstream statistical methodology is generally applicable to data observed in Euclidean
space. There are, however, numerous contexts of considerable scientific interest in which …

Bayesian forecasting in economics and finance: A modern review

GM Martin, DT Frazier, W Maneesoonthorn… - International Journal of …, 2024 - Elsevier
The Bayesian statistical paradigm provides a principled and coherent approach to
probabilistic forecasting. Uncertainty about all unknowns that characterize any forecasting …

Robust generalised Bayesian inference for intractable likelihoods

T Matsubara, J Knoblauch, FX Briol… - Journal of the Royal …, 2022 - academic.oup.com
Generalised Bayesian inference updates prior beliefs using a loss function, rather than a
likelihood, and can therefore be used to confer robustness against possible mis …

Robust and scalable Bayesian online changepoint detection

M Altamirano, FX Briol… - … Conference on Machine …, 2023 - proceedings.mlr.press
This paper proposes an online, provably robust, and scalable Bayesian approach for
changepoint detection. The resulting algorithm has key advantages over previous work: it …

Differentially Private Statistical Inference through -Divergence One Posterior Sampling

JE Jewson, S Ghalebikesabi… - Advances in Neural …, 2023 - proceedings.neurips.cc
Differential privacy guarantees allow the results of a statistical analysis involving sensitive
data to be released without compromising the privacy of any individual taking part …

Meta-uncertainty in Bayesian model comparison

M Schmitt, ST Radev… - … Conference on Artificial …, 2023 - proceedings.mlr.press
Bayesian model comparison (BMC) offers a principled probabilistic approach to study and
rank competing models. In standard BMC, we construct a discrete probability distribution …

Detecting model misspecification in amortized Bayesian inference with neural networks

M Schmitt, PC Bürkner, U Köthe, ST Radev - DAGM German Conference …, 2023 - Springer
Recent advances in probabilistic deep learning enable efficient amortized Bayesian
inference in settings where the likelihood function is only implicitly defined by a simulation …

General Bayesian loss function selection and the use of improper models

J Jewson, D Rossell - Journal of the Royal Statistical Society …, 2022 - academic.oup.com
Statisticians often face the choice between using probability models or a paradigm defined
by minimising a loss function. Both approaches are useful and, if the loss can be re-cast into …

Generalized Bayesian inference for discrete intractable likelihood

T Matsubara, J Knoblauch, FX Briol… - Journal of the American …, 2024 - Taylor & Francis
Discrete state spaces represent a major computational challenge to statistical inference,
since the computation of normalization constants requires summation over large or possibly …

Focused Bayesian prediction

R Loaiza‐Maya, GM Martin… - Journal of Applied …, 2021 - Wiley Online Library
We propose a new method for conducting Bayesian prediction that delivers accurate
predictions without correctly specifying the unknown true data generating process. A prior is …