Martingale posterior distributions

E Fong, C Holmes, SG Walker - Journal of the Royal Statistical …, 2023 - academic.oup.com
The prior distribution is the usual starting point for Bayesian uncertainty. In this paper, we
present a different perspective that focuses on missing observations as the source of …

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 …

Mapping aboveground biomass in Indonesian lowland forests using GEDI and hierarchical models

PB May, M Schlund, J Armston, MM Kotowska… - Remote Sensing of …, 2024 - Elsevier
Spaceborne lidar (light detection and ranging) instruments such as the Global Ecosystem
Dynamics Investigation (GEDI) provide a unique opportunity for global forest inventory by …

Model-free posterior inference on the area under the receiver operating characteristic curve

Z Wang, R Martin - Journal of Statistical Planning and Inference, 2020 - Elsevier
The area under the receiver operating characteristic curve (AUC) serves as a summary of a
binary classifier's performance. For inference on the AUC, a common modeling assumption …

A predictive approach to Bayesian nonparametric survival analysis

E Fong, B Lehmann - arXiv preprint arXiv:2202.10361, 2022 - arxiv.org
Bayesian nonparametric methods are a popular choice for analysing survival data due to
their ability to flexibly model the distribution of survival times. These methods typically …

Cdi maps: Dynamic estimation of the radio environment for predictive resource allocation

DF Külzer, S Stańczak, M Botsov - 2021 IEEE 32nd Annual …, 2021 - ieeexplore.ieee.org
The number of always-online vehicles continuously increases, and these vehicles will form
an immense mobile sensor network. For example, cars can upload live temperature and …

Estimating densities with non-linear support by using Fisher–Gaussian kernels

M Mukhopadhyay, D Li… - Journal of the Royal …, 2020 - academic.oup.com
Current tools for multivariate density estimation struggle when the density is concentrated
near a non-linear subspace or manifold. Most approaches require the choice of a kernel …

Spectral clustering, Bayesian spanning forest, and forest process

LL Duan, A Roy… - Journal of the …, 2024 - Taylor & Francis
Spectral clustering views the similarity matrix as a weighted graph, and partitions the data by
minimizing a graph-cut loss. Since it minimizes the across-cluster similarity, there is no need …

A PRticle filter algorithm for nonparametric estimation of multivariate mixing distributions

V Dixit, R Martin - Statistics and Computing, 2023 - Springer
Predictive recursion (PR) is a fast, recursive algorithm that gives a smooth estimate of the
mixing distribution under the general mixture model. However, the PR algorithm requires …

Bayesmix: Bayesian mixture models in C++

M Beraha, B Guindani, M Gianella… - arXiv preprint arXiv …, 2022 - arxiv.org
We describe BayesMix, a C++ library for MCMC posterior simulation for general Bayesian
mixture models. The goal of BayesMix is to provide a self-contained ecosystem to perform …