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We consider high dimensional $M$-estimation in settings where the response $Y$ is possibly missing at random and the covariates $\mathbf{X} \in \mathbb{R}^p$ can be high dimensional compared to the sample size $n$. The parameter of interest…

统计方法学 · 统计学 2019-11-27 Abhishek Chakrabortty , Jiarui Lu , T. Tony Cai , Hongzhe Li

This paper is concerned with testing global null hypotheses about population mean vectors of high-dimensional data. Current tests require either strong mixing (independence) conditions on the individual components of the high-dimensional…

统计理论 · 数学 2023-09-06 Alexander Giessing , Jianqing Fan

Low-rank structures play important role in recent advances of many problems in image science and data science. As a natural extension of low-rank structures for data with nonlinear structures, the concept of the low-dimensional manifold…

计算机视觉与模式识别 · 计算机科学 2017-02-10 Rongjie Lai , Jia Li

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

In this paper, we focus on testing multivariate normality using the BHEP test with data that are missing completely at random. Our objective is twofold: first, to gain insight into the asymptotic behavior of BHEP test statistics under two…

统计方法学 · 统计学 2024-04-11 Danijel Aleksić , Bojana Milošević

High-dimensional statistical inference with general estimating equations are challenging and remain less explored. In this paper, we study two problems in the area: confidence set estimation for multiple components of the model parameters,…

统计方法学 · 统计学 2021-04-28 Jinyuan Chang , Song Xi Chen , Cheng Yong Tang , Tong Tong Wu

Various statistical tests have been developed for testing the equality of means in matched pairs with missing values. However, most existing methods are commonly based on certain distributional assumptions such as normality, 0-symmetry or…

统计理论 · 数学 2016-03-02 Lubna Amro , Markus Pauly

This is an up-to-date introduction to, and overview of, marginal likelihood computation for model selection and hypothesis testing. Computing normalizing constants of probability models (or ratio of constants) is a fundamental issue in many…

统计计算 · 统计学 2023-02-13 Fernando Llorente , Luca Martino , David Delgado , Javier Lopez-Santiago

This paper proposes an overidentifying restriction test for high-dimensional linear instrumental variable models. The novelty of the proposed test is that it allows the number of covariates and instruments to be larger than the sample size.…

计量经济学 · 经济学 2024-05-08 Qingliang Fan , Zijian Guo , Ziwei Mei

The statistics and machine learning communities have recently seen a growing interest in classification-based approaches to two-sample testing. The outcome of a classification-based two-sample test remains a rejection decision, which is not…

统计理论 · 数学 2022-11-15 Loris Michel , Jeffrey Näf , Nicolai Meinshausen

We describe a modified sequential probability ratio test that can be used to reduce the average sample size required to perform statistical hypothesis tests at specified levels of significance and power. Examples are provided for $z$ tests,…

统计方法学 · 统计学 2020-12-04 Sandipan Pramanik , Valen E. Johnson , Anirban Bhattacharya

Randomization testing is a fundamental method in statistics, enabling inferential tasks such as testing for (conditional) independence of random variables, constructing confidence intervals in semiparametric location models, and…

统计方法学 · 统计学 2023-03-21 Yash Nair , Lucas Janson

Trials enroll a large number of subjects in order to attain power, making them expensive and time-consuming. Sample size calculations are often performed with the assumption of an unadjusted analysis, even if the trial analysis plan…

统计方法学 · 统计学 2021-07-06 Alejandro Schuler

We propose a class of dimension reduction methods for right censored survival data using a counting process representation of the failure process. Semiparametric estimating equations are constructed to estimate the dimension reduction…

统计方法学 · 统计学 2018-06-11 Qiang Sun , Ruoqing Zhu , Tao Wang , Donglin Zeng

We propose tests for the convexity/linearity/concavity of a transformation of the dependent variable in a semiparametric transformation model. These tests can be used to verify monotonicity of the treatment effect, or, equivalently,…

计量经济学 · 经济学 2025-12-16 Arkadiusz Szydłowski

We develop a systematic, omnibus approach to goodness-of-fit testing for parametric distributional models when the variable of interest is only partially observed due to censoring and/or truncation. In many such designs, tests based on the…

统计方法学 · 统计学 2026-02-10 Juan Carlos Escanciano , Jacobo de Uña-Álvarez

A semi-analytic method to compute the first coefficients of the renormalization group functions on a random lattice is introduced. It is used to show that the two-dimensional $O(N)$ non-linear $\sigma$-model regularized on a random lattice…

高能物理 - 格点 · 物理学 2009-10-22 B. Alles

We propose a new iterative unfolding method for experimental data, making use of a regularization function. The use of this function allows one to build an improved normalization procedure for Monte Carlo spectra, unbiased by the presence…

数据分析、统计与概率 · 物理学 2009-07-23 Bogdan Malaescu

There is a wide availability of methods for testing normality under the assumption of independent and identically distributed data. When data are dependent in space and/or time, however, assessing and testing the marginal behavior is…

统计方法学 · 统计学 2023-10-17 Minwoo Kim , Marc G Genton , Raphael Huser , Stefano Castruccio

Multi-parameter one-sided hypothesis test problems arise naturally in many applications. We are particularly interested in effective tests for monitoring multiple quality indices in forestry products. Our search reveals that there are many…

统计理论 · 数学 2017-03-16 Guangyu Zhu , Jiahua Chen