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math.ST2025
Linearity-Inducing Priors for Poisson Parameter Estimation Under Loss
Leighton P. Barnes, Alex Dytso, H. Vincent Poor
We study prior distributions for Poisson parameter estimation under loss. Specifically, we construct a new family of prior distributions whose optimal Bayesian estimators (th…
math.ST2024★ 1 cited
Multivariate Priors and the Linearity of Optimal Bayesian Estimators under Gaussian Noise
Leighton P. Barnes, Alex Dytso, Jingbo Liu +1
Consider the task of estimating a random vector from noisy observations , where is a standard normal vector, under the fidelity criterion. This work establ…
math.ST2023
Estimation: On the Optimality of Linear Estimators
Leighton P. Barnes, Alex Dytso, Jingbo Liu +1
Consider the problem of estimating a random variable from noisy observations , where is standard normal, under the fidelity criterion. It is well known that…