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math.ST2020★ 4 cited
Multivariate Smoothing via the Fourier Integral Theorem and Fourier Kernel
Nhat Ho, Stephen G. Walker
Starting with the Fourier integral theorem, we present natural Monte Carlo estimators of multivariate functions including densities, mixing densities, transition densities, regress…
math.ST2020★ 1 cited
Uniform Convergence Rates for Maximum Likelihood Estimation under Two-Component Gaussian Mixture Models
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 w…