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05/03/2023
Multivariate Symmetry: Distribution-Free Testing via Optimal Transport
The sign test (Arbuthnott, 1710) and the Wilcoxon signed-rank test (Wilc...
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03/06/2023
Empirical partially Bayes multiple testing and compound χ^2 decisions
We study multiple testing in the normal means problem with estimated var...
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10/02/2022
A Kernel Measure of Dissimilarity between M Distributions
Given M ≥ 2 distributions defined on a general measurable space, we intr...
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08/16/2022
On Efficient and Scalable Computation of the Nonparametric Maximum Likelihood Estimator in Mixture Models
In this paper we study the computation of the nonparametric maximum like...
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01/10/2022
Permuted and Unlinked Monotone Regression in ℝ^d: an approach based on mixture modeling and optimal transport
Suppose that we have a regression problem with response variable Y in ℝ^...
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11/30/2021
Efficiency of Regression (Un)-Adjusted Rosenbaum's Rank-based Estimator in Randomized Experiments
A completely randomized experiment allows us to estimate the causal effe...
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09/08/2021
Multivariate, Heteroscedastic Empirical Bayes via Nonparametric Maximum Likelihood
Multivariate, heteroscedastic errors complicate statistical inference in...
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07/04/2021
Rates of Estimation of Optimal Transport Maps using Plug-in Estimators via Barycentric Projections
Optimal transport maps between two probability distributions μ and ν on ...
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04/05/2021
Efficiency Lower Bounds for Distribution-Free Hotelling-Type Two-Sample Tests Based on Optimal Transport
The Wilcoxon rank-sum test is one of the most popular distribution-free ...
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12/29/2020
Kernel Partial Correlation Coefficient – a Measure of Conditional Dependence
In this paper we propose and study a class of simple, nonparametric, yet...
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10/07/2020
High dimensional asymptotics of likelihood ratio tests in Gaussian sequence model under convex constraint
In the Gaussian sequence model Y=μ+ξ, we study the likelihood ratio test...
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10/05/2020
Measuring Association on Topological Spaces Using Kernels and Geometric Graphs
In this paper we propose and study a class of simple, nonparametric, yet...
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06/18/2020
Inference for local parameters in convexity constrained models
We consider the problem of inference for local parameters of a convex re...
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06/03/2020
Convex Regression in Multidimensions: Suboptimality of Least Squares Estimators
The least squares estimator (LSE) is shown to be suboptimal in squared e...
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09/18/2019
Multivariate Rank-based Distribution-free Nonparametric Testing using Measure Transportation
In this paper, we propose a general framework for distribution-free nonp...
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05/14/2019
Multivariate Ranks and Quantiles using Optimal Transportation and Applications to Goodness-of-fit Testing
In this paper we study multivariate ranks and quantiles, defined using t...
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03/04/2019
Multivariate extensions of isotonic regression and total variation denoising via entire monotonicity and Hardy-Krause variation
We consider the problem of nonparametric regression when the covariate i...
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10/18/2018
Two-component Mixture Model in the Presence of Covariates
In this paper we study a generalization of the two-groups model in the p...
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08/23/2018
Estimation of Integrated Functionals of a Monotone Density
In this paper we study estimation of integrated functionals of a monoton...
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06/06/2018
Optimal Inference with a Multidimensional Multiscale Statistic
We observe a stochastic process Y on [0,1]^d (d≥ 1) satisfying dY(t)=n^1...
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09/17/2017
Nonparametric Shape-restricted Regression
We consider the problem of nonparametric regression under shape constrai...
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08/01/2017
Efficient Estimation in Convex Single Index Models
We consider estimation and inference in a single index regression model ...
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03/31/2012