
Density Estimation with Contaminated Data: Minimax Rates and Theory of Adaptation
This paper studies density estimation under pointwise loss in the settin...
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Singularity structures and impacts on parameter estimation in finite mixtures of distributions
Singularities of a statistical model are the elements of the model's par...
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Efficient methods for the estimation of the multinomial parameter for the twotrait group testing model
Estimation of a single Bernoulli parameter using pooled sampling is amon...
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Minimax bounds for estimating multivariate Gaussian location mixtures
We prove minimax bounds for estimating Gaussian location mixtures on ℝ^d...
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Minimax Estimation of Conditional Moment Models
We develop an approach for estimating models described via conditional m...
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Stretching the Effectiveness of MLE from Accuracy to Bias for Pairwise Comparisons
A number of applications (e.g., AI bot tournaments, sports, peer grading...
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Partial Identifiability of Restricted Latent Class Models
Latent class models have wide applications in social and biological scie...
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An elementary approach for minimax estimation of Bernoulli proportion in the restricted parameter space
We present an elementary mathematical method to find the minimax estimator of the Bernoulli proportion θ under the squared error loss when θ belongs to the restricted parameter space of the form Ω = [0, η] for some prespecified constant 0 ≤η≤ 1. This problem is inspired from the problem of estimating the rate of positive COVID19 tests. The presented results and applications would be useful materials for both instructors and students when teaching point estimation in statistical or machine learning courses.
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