Uniform Convergence Rates for Maximum Likelihood Estimation under Two-Component Gaussian Mixture Models

1 Jun 2020 Tudor Manole Nhat Ho

We derive uniform convergence rates for the maximum likelihood estimator and minimax lower bounds for parameter estimation in two-component location-scale Gaussian mixture models with unequal variances. We assume the mixing proportions of the mixture are known and fixed, but make no separation assumption on the underlying mixture components... (read more)

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