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math.ST2023
Optimality in Mean Estimation: Beyond Worst-Case, Beyond Sub-Gaussian, and Beyond Moments
Trung Dang, Jasper C. H. Lee, Maoyuan Song +1
There is growing interest in improving our algorithmic understanding of fundamental statistical problems such as mean estimation, driven by the goal of understanding the limits of…
math.ST2023
Finite-Sample Symmetric Mean Estimation with Fisher Information Rate
Shivam Gupta, Jasper C. H. Lee, Eric Price
The mean of an unknown variance- distribution can be estimated from samples with variance and nearly corresponding subgaussian rate. When is known…
math.ST2023
High-dimensional Location Estimation via Norm Concentration for Subgamma Vectors
Shivam Gupta, Jasper C. H. Lee, Eric Price
In location estimation, we are given samples from a known distribution shifted by an unknown translation , and want to estimate as precisely as possible. Asymptotica…