49 citations · 128 across the 31 of their papers we have counts for
19 papers · 1 filter
A Unifying Framework for Some Directed Distances in Statistics
Michel Broniatowski, Wolfgang Stummer
Density-based directed distances -- particularly known as divergences -- between probability distributions are widely used in statistics as well as in the adjacent research fields…
Minimum divergence estimators, Maximum Likelihood and the generalized bootstrap
Michel Broniatowski
This paper is an attempt to set a justification for making use of some dicrepancy indexes, starting from the classical Maximum Likelihood definition, and adapting the corresponding…
Uniform minimum risk equivariant estimates for moment condition models
Michel Broniatowski, Jana Jurečková, Amor Keziou
We consider semiparametric moment condition models invariant to transformation groups. The parameter of interest is estimated by minimum empirical divergence approach, introduced b…
A Gibbs Conditional theorem under extreme deviation
Maeva Biret, Michel Broniatowski, Zangsheng Cao
We explore some properties of the conditional distribution of an i.i.d. sample under large exceedances of its sum. Thresholds for the asymptotic independance of the summands are ob…
Estimation for models defined by conditions on their L-moments
Alexis Decurninge, Michel Broniatowski
This paper extends the empirical minimum divergence approach for models which satisfy linear constraints with respect to the probability measure of the underlying variable (moment…
Some overview on unbiased interpolation and extrapolation designs
Michel Broniatowski, Giorgio Celant
This paper considers the construction of optimal designs due to Hoel and Levine and Guest. It focuses on the relation between the theory of the uniform approximation of functions a…