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Sharp minimax behavior as contamination approaches the breakdown boundary $\epsilon\uparrow 1/2$

Sourced from the work of Akshay Prasadan, Matey Neykov

§ Problem Statement

§ Discussion

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§ Significance & Implications

§ Known Partial Results

§ References

[1]

Information Theoretic Limits of Robust Sub-Gaussian Mean Estimation Under Star-Shaped Constraints

Akshay Prasadan, Matey Neykov (2024)

Annals of Statistics (to appear)

📍 Section 6 (Discussion and Future Work), paragraph beginning “We now comment on the i.i.d. Gaussian case…” (citing Theorem 3.6 and Lemma B.2), p. 27

Source paper where this problem appears.

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