1 citations · 1 across the 3 of their papers we have counts for
5 papers
Quantum Relative-alpha-Entropies: A Structural and Geometric Perspective
Sayantan Roy, Atin Gayen, Aditi Kar Gangopadhyay +1
Most quantum divergences derive their structure from classical f-divergences or Renyi-type constructions, a dependence that obscures several quantum geometric effects. We introduce…
Generalized Fisher-Darmois-Koopman-Pitman Theorem and Rao-Blackwell Type Estimators for Power-Law Distributions
Atin Gayen, M. Ashok Kumar
This paper generalizes the notion of sufficiency for estimation problems beyond maximum likelihood. In particular, we consider estimation problems based on Jones et al. and Basu et…
Projection Theorems and Estimating Equations for Power-Law Models
Atin Gayen, M. Ashok Kumar
We extend projection theorems concerning Hellinger and Jones et al. divergences to the continuous case. These projection theorems reduce certain estimation problems on generalized…
Generalized Estimating Equation for the Student-t Distributions
Atin Gayen, M. Ashok Kumar
In \cite{KumarS15J2}, it was shown that a generalized maximum likelihood estimation problem on a (canonical) -power-law model (-family) can be solved by solvin…
Projection Theorems of Divergences and Likelihood Maximization Methods
Atin Gayen, M. Ashok Kumar
Projection theorems of divergences enable us to find reverse projection of a divergence on a specific statistical model as a forward projection of the divergence on a different but…