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05/01/2022
Generalized Fisher-Darmois-Koopman-Pitman Theorem and Rao-Blackwell Type Estimators for Power-Law Distributions
This paper generalizes the notion of sufficiency for estimation problems...
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04/02/2021
Hybrid and Generalized Bayesian Cramér-Rao Inequalities via Information Geometry
Information geometry is the study of statistical models from a Riemannia...
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12/26/2020
Are Guessing, Source Coding, and Tasks Partitioning Birds of a Feather?
This paper establishes a close relationship among the four information t...
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02/11/2020
Generalized Bayesian Cramér-Rao Inequality via Information Geometry of Relative α-Entropy
The relative α-entropy is the Rényi analog of relative entropy and arise...
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01/14/2020
Cramér-Rao Lower Bounds Arising from Generalized Csiszár Divergences
We study the geometry of probability distributions with respect to a gen...
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07/16/2019
A Unified Framework for Problems on Guessing, Source Coding and Task Partitioning
We study four problems namely, Campbell's source coding problem, Arikan'...
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05/04/2019
Projection Theorems, Estimating Equations, and Power-Law Distributions
Projection theorems of divergence functionals reduce certain estimation ...
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01/27/2018
Generalized Estimating Equation for the Student-t Distributions
In KumarS15J2, it was shown that a generalized maximum likelihood estima...
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01/15/2018