58 citations · 96 across the 5 of their papers we have counts for
6 papers
Decomposable Pseudodistances and Applications in Statistical Estimation
Michel Broniatowski, Aida Toma, Igor Vajda
The aim of this paper is to introduce new statistical criterions for estimation, suitable for inference in models with common continuous support. This proposal is in the direct lin…
On Pairs of -divergences and their Joint Range
Peter Harremoës, Igor Vajda
We compare two f-divergences and prove that their joint range is the convex hull of the joint range for distributions supported on only two points. Some applications of this result…
On Bahadur Efficiency of Power Divergence Statistics
Peter Harremoës, Igor Vajda
It is proved that the information divergence statistic is infinitely more Bahadur efficient than the power divergence statistics of the orders as long as the sequence of alte…
Joint Range of f-divergences
Peter Harremoës, Igor Vajda
We provide a general method for evaluation of the joint range of f-divergences for two different functions f. Via topological arguments we prove that the joint range for general di…
Several Applications of Divergence Criteria in Continuous Families
Michel Broniatowski, Igor Vajda
This paper deals with four types of point estimators based on minimization of information-theoretic divergences between hypothetical and empirical distributions. These were introdu…
On Bregman Distances and Divergences of Probability Measures
Wolfgang Stummer, Igor Vajda
The paper introduces scaled Bregman distances of probability distributions which admit non-uniform contributions of observed events. They are introduced in a general form covering…