Bayesian Calculations for Frequentist Higher-Order Expansions: An Expository Treatment of the Shrinkage Argument

An expository draft on the shrinkage argument in Bayesian–frequentist higher-order asymptotics. The manuscript reconstructs the scalar i.i.d. case with explicit parameter regions, good events, posterior Laplace remainders, and the Bayes–Fubini shrinkage identity.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-29
DOI
https://doi.org/10.5281/zenodo.20453550
Primary Topic
Stochastic processes and statistical mechanics
Type
preprint
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preprint

Bayesian Calculations for Frequentist Higher-Order Expansions: An Expository Treatment of the Shrinkage Argument

Xander Spruce
Zenodo (CERN European Organization for Nuclear Research)
Stochastic processes and statistical mechanics
preprint

Bayesian Calculations for Frequentist Higher-Order Expansions: An Expository Treatment of the Shrinkage Argument

Xander Spruce
preprint en

Abstract

An expository draft on the shrinkage argument in Bayesian–frequentist higher-order asymptotics. The manuscript reconstructs the scalar i.i.d. case with explicit parameter regions, good events, posterior Laplace remainders, and the Bayes–Fubini shrinkage identity.

Zenodo (CERN European Organization for Nuclear Research)
Stochastic processes and statistical mechanics
DOIOpen Access PDFOpenAlex
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