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math.ST2022★ 1 cited
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…
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…