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In this note we consider the stability of posterior measures occuring in Bayesian inference w.r.t.
Probability and the Weighing of Evidence
I. J. Good · 1950
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The use of Choquet capacities in statistics
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Gaussian Measures in Banach Spaces
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Robust Bayesian analysis: sensitivity to the prior
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An overview of robust Bayesian analysis
J. O. Berger · 1994
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L. Wasserman and T. Seidenfeld · 1994
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Robust Bayesian analysis using entropy and divergence measures
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Local sensitivity diagnostics for bayesian inference
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Asymptotic Statistics
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Gaussian Measures
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On the Bernstein–von Mises theorem with infinite-dimensional parameters
D. Freedman · 1999
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Robust Bayesian Analysis
D. R. Insua and F. Ruggeri, editors · 2000
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On choosing and bounding probability metrics
A. L. Gibbs and F. E. Su · 2001
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A new metric for probability distributions
D. M. Endres and J. E. Schindelin · 2003
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Second Order Partial Differential Equations in Hilbert Spaces
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Statistical and Computational Inverse Problems
J. Kaipio and E. Somersalo · 2005
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Whittle–Matérn priors for Bayesian statistical inversion with applications in electrical impedance tomography
H. Roininen, J. M. J. Huttunen, and S. Lasanen · 2014
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Brittleness of Bayesian inference under finite information in a continuous world
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On the brittleness of Bayesian inference
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Brittleness of Bayesian inference and new Selberg formulas
H. Owhadi and C. Scovel · 2016
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The Bayesian approach to inverse problems
M. Dashti and A. M. Stuart · 2017
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Well-posed Bayesian inverse problems with infinitely divisible and heavy-tailed prior measures
B. Hosseini · 2017
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Statistical Inference Based on Divergence Measures
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A stochastic collocation approach to Bayesian inference in inverse problems
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Optimal Transport: Old and New
C. Villani · 2009
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Inverse problems: a Bayesian perspective
A. M. Stuart · 2010
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H Leahu · 2011
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Well-posed Bayesian inverse problems and heavy-tailed stable quasi-Banach space priors
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