3 papers
math.ST2019
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…
math.ST2018
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…
cs.IT2017
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…