Andrew R. Barron

activity

20132024

most citedContribution to the theory of Pitman estimators

2 citations · 2 across the 3 of their papers we have counts for

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cs.IT2024

Asymptotically Minimax Regret by Bayes Mixtures

Jun'ichi Takeuchi, Andrew R. Barron

We study the problems of data compression, gambling and prediction of a sequence $x^{n} = x_{1} x_{2} ... x_{n}$ from an alphabet $X$ , in terms of regret and expected regret (redundancy)…

cs.IT2023

Improved MDL Estimators Using Fiber Bundle of Local Exponential Families for Non-exponential Families

Kohei Miyamoto, Andrew R. Barron, Jun'ichi Takeuchi

Minimum Description Length (MDL) estimators, using two-part codes for universal coding, are analyzed. For general parametric families under certain regularity conditions, we introd…