AShrink: Adaptive shrinkage for effect estimates and regression in Python

Effect estimates often differ in precision. Adaptive shrinkage uses information shared across estimates to learn a prior distribution and compute posterior summaries. AShrink provides this approach in Python for supplied effect estimates and for selected regression models. It supports Gaussian and Student-t measurement errors, conjugate Poisson and binomial models, multivariate Gaussian effects with supplied covariance patterns, and regression with adaptive normal-mixture priors. We distinguish conditional posterior calculations from variational approximations used in regression. Fourteen fixed cases agree with results exported from installed R reference packages under aligned settings. Installed wheels pass 116 tests in each of two macOS environments, two Linux environments and a native Windows environment. These checks support numerical agreement in the specified cases; they do not establish repeated-dataset interval coverage or comparative predictive performance. AShrink includes distribution methods, sign and null probabilities, prediction, tables, plots, and an editable reference manual.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-27
DOI
https://doi.org/10.5281/zenodo.23697112
Primary Topic
Statistical Methods and Bayesian Inference
Type
preprint
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preprint

AShrink: Adaptive shrinkage for effect estimates and regression in Python

Nilson Chapagain
1 links
Zenodo (CERN European Organization for Nuclear Research)
Statistical Methods and Bayesian Inference
preprint

AShrink: Adaptive shrinkage for effect estimates and regression in Python

Nilson Chapagain
preprint en

Abstract

Effect estimates often differ in precision. Adaptive shrinkage uses information shared across estimates to learn a prior distribution and compute posterior summaries. AShrink provides this approach in Python for supplied effect estimates and for selected regression models. It supports Gaussian and Student-t measurement errors, conjugate Poisson and binomial models, multivariate Gaussian effects with supplied covariance patterns, and regression with adaptive normal-mixture priors. We distinguish conditional posterior calculations from variational approximations used in regression. Fourteen fixed cases agree with results exported from installed R reference packages under aligned settings. Installed wheels pass 116 tests in each of two macOS environments, two Linux environments and a native Windows environment. These checks support numerical agreement in the specified cases; they do not establish repeated-dataset interval coverage or comparative predictive performance. AShrink includes distribution methods, sign and null probabilities, prediction, tables, plots, and an editable reference manual.

Zenodo (CERN European Organization for Nuclear Research)
Texas A&M University (US)
Statistical Methods and Bayesian Inference
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