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19992026
most citedSparsistency and rates of convergence in large covariance matrix estimation

421 citations

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49 papers · 1 filter

math.ST2022★ 2 cited

Residual permutation test for regression coefficient testing

Kaiyue Wen, Tengyao Wang, Yuhao Wang

We consider the problem of testing whether a single coefficient is equal to zero in linear models when the dimension of covariates can be up to a constant fraction of sample si…

math.ST2021★ 7 cited

Edge differentially private estimation in the -model via jittering and method of moments

Jinyuan Chang, Qiao Hu, Eric D. Kolaczyk +2

A standing challenge in data privacy is the trade-off between the level of privacy and the efficiency of statistical inference. Here we conduct an in-depth study of this trade-off…

math.ST2021★ 5 cited

Lattice Conditional Independence Models and Hibi Ideals

Peter Caines, Fatemeh Mohammadi, Eduardo Sáenz de Cabezón +1

Lattice Conditional Independence models are a class of models developed first for the Gaussian case in which a distributive lattice classifies all the conditional independence stat…

math.ST2021

Testing exchangeability: fork-convexity, supermartingales, and e-processes

Aaditya Ramdas, Johannes Ruf, Martin Larsson +1

Suppose we observe an infinite series of coin flips , and wish to sequentially test the null that these binary random variables are exchangeable. Nonnegative superm…

math.ST2020★ 6 cited

Semi-Parametric Estimation of Incubation and Generation Times by Means of Laguerre Polynomials

Alexander Kreiss, Ingrid Van Keilegom

In epidemics many interesting quantities, like the reproduction number, depend on the incubation period (time from infection to symptom onset) and/or the generation time (time unti…

math.ST2020★ 1 cited

Two-sample testing of high-dimensional linear regression coefficients via complementary sketching

Fengnan Gao, Tengyao Wang

We introduce a new method for two-sample testing of high-dimensional linear regression coefficients without assuming that those coefficients are individually estimable. The procedu…

math.ST2020★ 30 cited

Admissible anytime-valid sequential inference must rely on nonnegative martingales

Aaditya Ramdas, Johannes Ruf, Martin Larsson +1

Confidence sequences, anytime p-values (called p-processes in this paper), and e-processes all enable sequential inference for composite and nonparametric classes of distributions…

math.ST2020★ 19 cited

An autocovariance-based learning framework for high-dimensional functional time series

Jinyuan Chang, Cheng Chen, Xinghao Qiao +1

Many scientific and economic applications involve the statistical learning of high-dimensional functional time series, where the number of functional variables is comparable to, or…

math.ST2020★ 23 cited

A Note on Likelihood Ratio Tests for Models with Latent Variables

Yunxiao Chen, Irini Moustaki, Haoran Zhang

The likelihood ratio test (LRT) is widely used for comparing the relative fit of nested latent variable models. Following Wilks' theorem, the LRT is conducted by comparing the LRT…

math.ST2020★ 5 cited

Finite Sample Theory for High-Dimensional Functional/Scalar Time Series with Applications

Qin Fang, Shaojun Guo, Xinghao Qiao

Statistical analysis of high-dimensional functional times series arises in various applications. Under this scenario, in addition to the intrinsic infinite-dimensionality of functi…

math.ST2019★ 5 cited

Normal Approximation for Stochastic Gradient Descent via Non-Asymptotic Rates of Martingale CLT

Andreas Anastasiou, Krishnakumar Balasubramanian, Murat A. Erdogdu

We provide non-asymptotic convergence rates of the Polyak-Ruppert averaged stochastic gradient descent (SGD) to a normal random vector for a class of twice-differentiable test func…

math.ST2018★ 1 cited

Bregman divergences based on optimal design criteria and simplicial measures of dispersion

Luc Pronzato, Henry Wynn, Anatoly Zhigljavsky

In previous work the authors defined the k-th order simplicial distance between probability distributions which arises naturally from a measure of dispersion based on the squared v…

math.ST2017★ 12 cited

On sparsity, power-law and clustering properties of graphex processes

François Caron, Francesca Panero, Judith Rousseau

This paper investigates properties of the class of graphs based on exchangeable point processes. We provide asymptotic expressions for the number of edges, number of nodes and degr…

math.ST2017★ 1 cited

Homogeneity Pursuit in Single Index Models based Panel Data Analysis

Heng Lian, Xinghao Qiao, Wenyang Zhang

Panel data analysis is an important topic in statistics and econometrics. Traditionally, in panel data analysis, all individuals are assumed to share the same unknown parameters, e…

math.ST2017

Parameter Estimation for Thurstone Choice Models

Milan Vojnovic, Se-Young Yun

We consider the estimation accuracy of individual strength parameters of a Thurstone choice model when each input observation consists of a choice of one item from a set of two or…

math.ST2017

Optimal experimental design that minimizes the width of simultaneous confidence bands

Satoshi Kuriki, Henry P. Wynn

We propose an optimal experimental design for a curvilinear regression model that minimizes the band-width of simultaneous confidence bands. Simultaneous confidence bands for curvi…

math.ST2017★ 62 cited

Robust inference for threshold regression models

Javier Hidalgo, Jungyoon Lee, Myung Hwan Seo

This paper is concerned with inference in threshold regression models when the practitioners do not know whether at the threshold point the true specification has a kink or a jump.…

math.ST2016

On Wigner-Ville Spectra and the Unicity of Time-Varying Quantile-Based Spectral Densities

Stefan Birr, Holger Dette, Marc Hallin +2

The unicity of the time-varying quantile-based spectrum proposed in Birr et al. (2016) is established via an asymptotic representation result involving Wigner-Ville spectra.

math.ST2016★ 27 cited

Local M-estimation with Discontinuous Criterion for Dependent and Limited Observations

Myung Hwan Seo, Taisuke Otsu

This paper examines asymptotic properties of local M-estimators under three sets of high-level conditions. These conditions are sufficiently general to cover the minimum volume pre…

math.ST2016

Bounds for the normal approximation of the maximum likelihood estimator from m-dependent random variables

Andreas Anastasiou

The asymptotic normality of the Maximum Likelihood Estimator (MLE) is a long established result. Explicit bounds for the distributional distance between the distribution of the MLE…

math.ST2016★ 31 cited

Central limit theorems for long range dependent spatial linear processes

S. N. Lahiri, Peter M. Robinson

Central limit theorems are established for the sum, over a spatial region, of observations from a linear process on a -dimensional lattice. This region need not be rectangular,…

math.ST2014

An extended Generalised Variance, with Applications

Luc Pronzato, Henry Wynn, Anatoly Zhigljavsky

We consider a measure k of dispersion which extends the notion of Wilk's generalised variance, or entropy, for a d-dimensional distribution, and is based on the mean squared vo…

math.ST2014★ 7 cited

On Convex Least Squares Estimation when the Truth is Linear

Yining Chen, Jon A. Wellner

We prove that the convex least squares estimator (LSE) attains a pointwise rate of convergence in any region where the truth is linear. In addition, the asymptotic distr…

math.ST2014★ 4 cited

Quantile Spectral Analysis for Locally Stationary Time Series

Stefan Birr, Stanislav Volgushev, Tobias Kley +2

Classical spectral methods are subject to two fundamental limitations: they only can account for covariance-related serial dependencies, and they require second-order stationarity.…