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We derive a new class of statistical tests for generalized linear models based on thresholding point estimators. These tests can be employed whether the model includes more parameters than observations or not. For linear models, our tests…

统计方法学 · 统计学 2018-03-14 Sylvain Sardy , Caroline Giacobino , Jairo Diaz-Rodriguez

No matter the nature of the response and/or explanatory variables in a regression model, some basic issues such as the existence of an effect of the predictor on the response, or the assessment of a common shape across groups of…

应用统计 · 统计学 2020-09-01 María Alonso-Pena , Jose Ameijeiras-Alonso , Rosa M. Crujeiras

Linear transformation model provides a general framework for analyzing censored survival data with covariates. The proportional hazards and proportional odds models are special cases of the linear transformation model. In biomedical…

统计方法学 · 统计学 2022-05-11 Sudheesh K. K. , Deemat C. Mathew , Litty Mathew , Min Xie

We study general nonlinear models for time series networks of integer and continuous valued data. The vector of high dimensional responses, measured on the nodes of a known network, is regressed non-linearly on its lagged value and on…

统计方法学 · 统计学 2023-12-25 Mirko Armillotta , Konstantinos Fokianos

Consider a random vector (X, T), where X is d-dimensional and T is one-dimensional. We suppose that the random variable T is subject to random right censoring and satisfies the $\alpha$-mixing property. The aim of this paper is to study the…

统计理论 · 数学 2019-10-07 Bouhadjera Feriel , Elias Ould Said

Recently, several authors have re-examined the power of the classical F-test in linear regression in a `large-p, large-n' framework (cf. Zhong and Chen (2011), Wang and Cui (2013)). They highlight the loss of power as the number of…

统计理论 · 数学 2016-11-08 Lukas Steinberger

Permutation testing in linear models, where the number of nuisance coefficients is smaller than the sample size, is a well-studied topic. The common approach of such tests is to permute residuals after regressing on the nuisance covariates.…

统计方法学 · 统计学 2020-10-09 Jesse Hemerik , Magne Thoresen , Livio Finos

Accurate power and sample size estimation are crucial to the design and analysis of genetic association studies. When analyzing a binary trait via logistic regression, important covariates such as age and sex are typically included in the…

统计方法学 · 统计学 2022-10-05 Ziang Zhang , Lei Sun

We propose three novel consistent specification tests for quantile regression models which generalize former tests in three ways. First, we allow the covariate effects to be quantile-dependent and nonlinear. Second, we allow parameterizing…

统计方法学 · 统计学 2021-12-07 Tim Kutzker , Nadja Klein , Dominik Wied

For a high-dimensional linear model with a finite number of covariates measured with error, we study statistical inference on the parameters associated with the error-prone covariates, and propose a new corrected decorrelated score test and…

统计方法学 · 统计学 2020-01-29 Mengyan Li , Runze Li , Yanyuan Ma

Inferring linear dependence between time series is central to our understanding of natural and artificial systems. Unfortunately, the hypothesis tests that are used to determine statistically significant directed or multivariate…

统计方法学 · 统计学 2021-02-24 Oliver M. Cliff , Leonardo Novelli , Ben D. Fulcher , James M. Shine , Joseph T. Lizier

We propose a new estimator for the high-dimensional linear regression model with observation error in the design where the number of coefficients is potentially larger than the sample size. The main novelty of our procedure is that the…

统计方法学 · 统计学 2019-09-09 Alexandre Belloni , Abhishek Kaul , Mathieu Rosenbaum

High-dimensional covariates often admit linear factor structure. To effectively screen correlated covariates in high-dimension, we propose a conditional variable screening test based on non-parametric regression using neural networks due to…

计量经济学 · 经济学 2024-08-21 Jianqing Fan , Weining Wang , Yue Zhao

Model checking plays an important role in linear regression as model misspecification seriously affects the validity and efficiency of regression analysis. In practice, model checking is often performed by subjectively evaluating the plot…

统计理论 · 数学 2019-11-19 Rok Blagus , Jakob Peterlin , Janez Stare

In this paper, we propose a new heteroskedasticity and autocorrelation consistent covariance matrix estimator based on the prewhitened kernel estimator and a localized leave-one-out frequency domain cross-validation (FDCV). We adapt the…

计量经济学 · 经济学 2025-10-09 Zhuoxun Li , Clifford M. Hurvich

Projection-based testing for mean trajectory differences in two groups of irregularly and sparsely observed functional data has garnered significant attention in the literature because it accommodates a wide spectrum of group differences…

统计方法学 · 统计学 2023-10-11 Salil Koner , Sheng Luo

A criterion is proposed for testing hypothesis about the nature of the error variance in the dependent variable in linear model, which separates correctly and incorrectly specified models. In the former only measurement errors determine the…

统计方法学 · 统计学 2019-11-19 Alexander Kukush , Igor Mandel

Residual marked empirical process-based tests are commonly used in regression models. However, they suffer from data sparseness in high-dimensional space when there are many covariates. This paper has three purposes. First, we suggest a…

统计方法学 · 统计学 2015-10-27 Xuehu Zhu , Xu Guo , Lixing Zhu

The theocratical properties of the power of the conventional testing hypotheses and the selection bias are usually unknown under covariate-adaptive randomized clinical trials. In the literature, most studies are based on simulations. In…

统计理论 · 数学 2021-05-04 Li-Xin Zhang

We consider nonparametric estimation of a regression function for a situation where precisely measured predictors are used to estimate the regression curve for coarsened, that is, less precise or contaminated predictors. Specifically, while…

统计理论 · 数学 2008-12-18 Aurore Delaigle , Peter Hall , Hans-Georg Müller