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News/Minimax Optimality of the NPMLE for Gaussian Mixtures in Hellinger Distance
arxiv
PublishedOctober 22, 2026 at 4:00 AM

Minimax Optimality of the NPMLE for Gaussian Mixtures in Hellinger Distance

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arXiv:2610.30109v1 Announce Type: cross Abstract: We analyze the problem of estimating univariate Gaussian mixture densities using the nonparametric maximum likelihood estimator (NPMLE) based on $n$ independent and identically distributed samples. We show that the unconstrained NPMLE achieves the mi

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