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In this work, we consider a multivariate regression model with one-sided errors. We assume for the regression function to lie in a general H\"{o}lder class and estimate it via a nonparametric local polynomial approach that consists of…

统计理论 · 数学 2021-02-11 Leonie Selk , Charles Tillier , Orlando Marigliano

This article studies bootstrap inference for high dimensional weakly dependent time series in a general framework of approximately linear statistics. The following high dimensional applications are covered: (1) uniform confidence band for…

统计理论 · 数学 2014-08-12 Xianyang Zhang , Guang Cheng

Motivation: Alignment-free (AF) distance/similarity functions are a key tool for sequence analysis. Experimental studies on real datasets abound and, to some extent, there are also studies regarding their control of false positive rate…

We consider inference in linear regression models that is robust to heteroskedasticity and the presence of many control variables. When the number of control variables increases at the same rate as the sample size the usual…

统计理论 · 数学 2020-09-29 Koen Jochmans

We study the distribution of hard-, soft-, and adaptive soft-thresholding estimators within a linear regression model where the number of parameters k can depend on sample size n and may diverge with n. In addition to the case of known…

统计理论 · 数学 2012-01-04 Benedikt M. Pötscher , Ulrike Schneider

Autocorrelation robust tests are notorious for suffering from size distortions and power problems. We investigate under which conditions the size of autocorrelation robust tests can be controlled by an appropriate choice of critical value.

统计理论 · 数学 2018-11-06 Benedikt M. Pötscher , David Preinerstorfer

The linear regression model is widely used in the biomedical and social sciences as well as in policy and business research to adjust for covariates and estimate the average effects of treatments. Behind every causal inference endeavor…

统计方法学 · 统计学 2024-04-23 Ambarish Chattopadhyay , Noah Greifer , Jose R. Zubizarreta

We investigate the problem of testing the global null in the high-dimensional regression models when the feature dimension $p$ grows proportionally to the number of observations $n$. Despite a number of prior work studying this problem,…

统计方法学 · 统计学 2020-10-06 Yue Li , Ilmun Kim , Yuting Wei

We consider parameter inference for linear quantile regression with non-stationary predictors and errors, where the regression parameters are subject to inequality constraints. We show that the constrained quantile coefficient estimators…

统计方法学 · 统计学 2024-04-08 Yuan Sun , Zhou Zhou

The eigendecomposition of a matrix is the central procedure in probabilistic models based on matrix factorization, for instance principal component analysis and topic models. Quantifying the uncertainty of such a decomposition based on a…

The autologistic model and related auto-models, commonly applied as autocovariate regression, offer distinct advantages for analysing spatially autocorrelated ecological data. However, comparative studies by Carl and K\"uhn (Ecol. Model.,…

定量方法 · 定量生物学 2015-01-28 David C. Bardos , Gurutzeta Guillera-Arroita , Brendan A. Wintle

Structural failure time models are causal models for estimating the effect of time-varying treatments on a survival outcome. G-estimation and artificial censoring have been proposed to estimate the model parameters in the presence of…

统计方法学 · 统计学 2019-02-19 Shu Yang , Karen Pieper , Frank Cools

Comparing two population means of network data is of paramount importance in a wide range of scientific applications. Many existing network inference solutions focus on global testing of entire networks, without comparing individual network…

统计方法学 · 统计学 2019-10-10 Yin Xia , Lexin Li

Power analyses are an important aspect of experimental design, because they help determine how experiments are implemented in practice. It is common to specify a desired level of power and compute the sample size necessary to obtain that…

统计方法学 · 统计学 2022-12-09 Zach Branson , Xinran Li , Peng Ding

We propose a hypothesis test that allows for many tested restrictions in a heteroskedastic linear regression model. The test compares the conventional F statistic to a critical value that corrects for many restrictions and conditional…

计量经济学 · 经济学 2023-01-24 Stanislav Anatolyev , Mikkel Sølvsten

We study testing $\pi$-freeness of functions $f:[n]^d\to\mathbb{R}$, where $f$ is $\pi$-free if there there are no $k$ indices $x_1\prec\cdots\prec x_k\in [n]^d$ such that $f(x_i)<f(x_j)$ and $\pi(i) < \pi(j)$ for all $i,j \in [k]$, where…

数据结构与算法 · 计算机科学 2025-10-28 Harish Chandramouleeswaran , Ilan Newman , Tomer Pelleg , Nithin Varma

In randomized experiments with noncompliance, tests may focus on compliers rather than on the overall sample. Rubin (1998) put forth such a method, and argued that testing for the complier average causal effect and averaging permutation…

统计方法学 · 统计学 2016-02-23 Laura Forastiere , Fabrizia Mealli , Luke Miratrix

We consider a high-dimensional linear regression problem. Unlike many papers on the topic, we do not require sparsity of the regression coefficients; instead, our main structural assumption is a decay of eigenvalues of the covariance matrix…

统计理论 · 数学 2021-10-01 Igor Silin , Jianqing Fan

We propose a semiparametric model to study the effect of covariates on the distribution of a censored event time while making minimal assumptions about the censoring mechanism. The result is a partially identified model, in the sense that…

统计方法学 · 统计学 2025-03-19 Ilias Willems , Jad Beyhum , Ingrid Van Keilegom

We introduce a new procedure for testing the significance of a set of regression coefficients in a Gaussian linear model with $n \geq d$. Our method, the $L$-test, provides the same statistical validity guarantee as the classical $F$-test,…

统计方法学 · 统计学 2025-12-01 Danielle Paulson , Souhardya Sengupta , Lucas Janson
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