A new family of error distributions for Bayesian quantile regression

Y Yan, A Kottas - arXiv preprint arXiv:1701.05666, 2017 - arxiv.org
We propose a new family of error distributions for model-based quantile regression, which is
constructed through a structured mixture of normal distributions. The construction enables …

Flexible Bayesian quantile regression based on the generalized asymmetric Huberised-type distribution

W Hu, W Zhang - Statistics and Computing, 2024 - Springer
To enhance the robustness and flexibility of Bayesian quantile regression models using the
asymmetric Laplace or asymmetric Huberised-type (AH) distribution, which lacks …

Bayes factors for longitudinal model assessment via power posteriors

G Calvo, C Armero, L Spezia… - … in Statistics-Simulation …, 2024 - Taylor & Francis
Bayes factor, defined as the ratio of the marginal likelihood functions of two competing
models, is the natural Bayesian procedure for model selection. Marginal likelihoods are …