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math.ST2026
Sub-Gaussian Confidence Intervals for Heavy-Tailed Data: Characterizing the Limits of Inference
Ilyes Hammouda, Stanislav Minsker, Mohamed Ndaoud
We investigate the problem of uncertainty quantification in the mean estimation framework. Given an i.i.d. sample from a distribution with unknown mean and variance , we w…
math.ST2026
Sharp and Adaptive Cluster Recovery in Slowly Mixing Gaussian Hidden Markov Models
Ibrahim Kaddouri, Mohamed Ndaoud
We study cluster recovery in a two-state Gaussian hidden Markov model in the slowly mixing regime, where the transition probability may vanish with the sample size. Temporal pe…