We define a notion of local sensitivity for classes of prior densities. The local sensitivity measures how much a small change in the prior affects the posterior. We find an explicit expression for this local sensitivity and we use it as a diagnostic for robustness. We also show that the local sensitivity can be used to find simple, accurate approximations to upper and lower bounds of posterior expectations. © 1995.

Density based classes of priors: Infinitesimal properties and approximations

Ruggeri Fabrizio;
1995

Abstract

We define a notion of local sensitivity for classes of prior densities. The local sensitivity measures how much a small change in the prior affects the posterior. We find an explicit expression for this local sensitivity and we use it as a diagnostic for robustness. We also show that the local sensitivity can be used to find simple, accurate approximations to upper and lower bounds of posterior expectations. © 1995.
1995
62F15
62F35
Bayesian robustness
Density ratio classes
Infinitesimal sensitivity
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/291163
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