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math.ST2025
On the Precise Asymptotics of Universal Inference
Kenta Takatsu
In statistical inference, confidence set procedures are typically evaluated based on their validity and width properties. Even when procedures achieve rate-optimal widths, confiden…
math.ST2025
Honest Inference for Stochastic Optimization
Kenta Takatsu, Arun Kumar Kuchibhotla
This manuscript studies a general approach to construct confidence sets for the solution of stochastic optimization, rendering empirical risk minimization as special cases. Statist…
math.ST2024★ 1 cited
Generalized van Trees inequality: Local minimax bounds for non-smooth functionals and irregular statistical models
Kenta Takatsu, Arun Kumar Kuchibhotla
In a decision-theoretic framework, the minimax lower bound provides the worst-case performance of estimators relative to a given class of statistical models. For parametric and sem…