6 citations · 18 across the 6 of their papers we have counts for
8 papers
Differentially Private Hypothesis Testing with the Subsampled and Aggregated Randomized Response Mechanism
Víctor Peña, Andrés F. Barrientos
Randomized response is one of the oldest and most well-known methods for analyzing confidential data. However, its utility for differentially private hypothesis testing is limited…
Mixture representations and Bayesian nonparametric inference for likelihood ratio ordered distributions
Michael Jauch, Andrés F. Barrientos, Víctor Peña +1
In this article, we introduce mixture representations for likelihood ratio ordered distributions. Essentially, the ratio of two probability densities, or mass functions, is monoton…
Differentially private methods for managing model uncertainty in linear regression models
Víctor Peña, Andrés F. Barrientos
In this work, we propose differentially private methods for hypothesis testing, model averaging, and model selection for normal linear models. We consider Bayesian methods based on…
A note on recent criticisms to Birnbaum's theorem
Víctor Peña, James O. Berger
In this note, we provide critical commentary on two articles that cast doubt on the validity and implications of Birnbaum's theorem: Evans (2013) and Mayo (2014). In our view, the…
Restricted type II maximum likelihood priors on regression coefficients
Víctor Peña, James O. Berger
In Bayesian hypothesis testing and model selection, prior distributions must be chosen carefully. For example, setting arbitrarily large prior scales for location parameters, which…
Bayesian Bootstraps for Massive Data
Andrés F. Barrientos, Víctor Peña
In this article, we present data-subsetting algorithms that allow for the approximate and scalable implementation of the Bayesian bootstrap. They are analogous to two existing algo…