57 citations · 174 across the 20 of their papers we have counts for
23 papers
Statistical Inference via T-Posterior Randomised Estimators
Yannick Baraud, Gabriel Romon
Given a statistical model, we propose a novel estimation method that yields randomised estimators for the unknown distribution of an observed random variable. We establish non-asym…
Estimating a regression function under possible heteroscedastic and heavy-tailed errors. Application to shape-restricted regression
Yannick Baraud, Guillaume Maillard
We consider a regression framework where the design points are deterministic and the errors possibly non-i.i.d. and heavy-tailed (with a moment of order in ). Given a cl…
Robust density estimation with the -loss. Applications to the estimation of a density on the line satisfying a shape constraint
Y. Baraud, H. Halconruy, G. Maillard
We solve the problem of estimating the distribution of presumed i.i.d. observations for the total variation loss. Our approach is based on density models and is versatile enough to…
From robust tests to Bayes-like posterior distributions
Yannick Baraud
In the Bayes paradigm and for a given loss function, we propose the construction of a new type of posterior distributions, that extends the classical Bayes one, for estimating the…
Robust estimation of a regression function in exponential families
Yannick Baraud, Juntong Chen
We observe pairs of independent (but not necessarily i.i.d.) random variables and tackle the problem of estimating the conditio…
Tests and estimation strategies associated to some loss functions
Yannick Baraud
We consider the problem of estimating the joint distribution of independent random variables. Our approach is based on a family of candidate probabilities that we shall call a…