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stat.ME2024
Quasi-Bayes empirical Bayes: a sequential approach to the Poisson compound decision problem
Stefano Favaro, Sandra Fortini
The Poisson compound decision problem is a long-standing problem is statistics, for which empirical Bayes methods are commonly used to estimate Poisson means in static or batch set…
stat.ME2024
Quasi-Bayesian sequential deconvolution
Stefano Favaro, Sandra Fortini
Density deconvolution is the inverse problem of estimating a probability density from observations contaminated by additive noise. Traditionally studied in static or batch settings…
math.ST2024
Exchangeability, prediction and predictive modeling in Bayesian statistics
Sandra Fortini, Sonia Petrone
There is currently a renewed interest in the Bayesian predictive approach to statistics. This paper offers a review on foundational concepts and focuses on predictive modeling, whi…