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This paper develops a consistent series-based specification test for semiparametric panel data models with fixed effects. The test statistic resembles the Lagrange Multiplier (LM) test statistic in parametric models and is based on a…

计量经济学 · 经济学 2019-09-13 Ivan Korolev

Modern high-throughput biomedical devices routinely produce data on a large scale, and the analysis of high-dimensional datasets has become commonplace in biomedical studies. However, given thousands or tens of thousands of measured…

统计方法学 · 统计学 2022-02-28 Vladimir Vutov , Thorsten Dickhaus

We study the problem of testing $H_0: \xi^\top\beta=t_0$ in high-dimensional sparse linear regression with Gaussian random design and unknown design covariance. The loading vector $\xi$ is arbitrary, and the exact sparsity level $k$ is…

统计理论 · 数学 2026-05-21 Jie Xie , Dongming Huang

The problem of sequentially finding an independent and identically distributed (i.i.d.) sequence that is drawn from a probability distribution $F_1$ by searching over multiple sequences, some of which are drawn from $F_1$ and the others of…

信息论 · 计算机科学 2013-02-18 Jun Geng , Weiyu Xu , Lifeng Lai

We suggest novel correlation coefficients which equal the maximum correlation for a class of bivariate Lancaster distributions while being only slightly smaller than maximum correlation for a variety of further bivariate distributions. In…

统计方法学 · 统计学 2024-05-01 Hajo Holzmann , Bernhard Klar

This paper considers the maximum likelihood estimation of panel data models with interactive effects. Motivated by applications in economics and other social sciences, a notable feature of the model is that the explanatory variables are…

统计理论 · 数学 2014-02-27 Jushan Bai , Kunpeng Li

In this paper, our interest is in the problem of simultaneous hypothesis testing when the test statistics corresponding to the individual hypotheses are possibly correlated. Specifically, we consider the case when the test statistics…

统计理论 · 数学 2019-01-14 Anupam Kundu , Subir Kumar Bhandari

In this paper, we propose a new test for the equality of several covariance functions for functional data. Its test statistic is taken as the supremum value of the sum of the squared differences between the estimated individual covariance…

统计方法学 · 统计学 2016-09-16 Jia Guo , Bu Zhou , Jin-Ting Zhang

We consider linear regression in the high-dimensional regime where the number of observations $n$ is smaller than the number of parameters $p$. A very successful approach in this setting uses $\ell_1$-penalized least squares (a.k.a. the…

统计方法学 · 统计学 2014-02-05 Adel Javanmard , Andrea Montanari

In this article, we consider the problem of simultaneous testing of hypotheses when the individual test statistics are not necessarily independent. Specifically, we consider the problem of simultaneous testing of point null hypotheses…

统计理论 · 数学 2018-07-17 Prasenjit Ghosh , Arijit Chakrabarti

Hypothesis testing in the linear regression model is a fundamental statistical problem. We consider linear regression in the high-dimensional regime where the number of parameters exceeds the number of samples ($p> n$). In order to make…

统计理论 · 数学 2019-09-24 Adel Javanmard , Jason D. Lee

This paper proposes some novel one-sided omnibus tests for independence between two multivariate stationary time series. These new tests apply the Hilbert-Schmidt independence criterion (HSIC) to test the independence between the…

统计方法学 · 统计学 2018-04-27 Guochang Wang , Wai Keung Li , Ke Zhu

Hypothesis testing of structure in covariance matrices is of significant importance, but faces great challenges in high-dimensional settings. Although consistent frequentist one-sample covariance tests have been proposed, there is a lack of…

统计方法学 · 统计学 2020-07-22 Kyoungjae Lee , Lizhen Lin , David Dunson

We study detection methods for multivariable signals under dependent noise. The main focus is on three-dimensional signals, i.e. on signals in the space-time domain. Examples for such signals are multifaceted. They include geographic and…

概率论 · 数学 2018-03-20 Annabel Prause , Ansgar Steland

Data with multiple functional recordings at each observational unit are increasingly common in various fields including medical imaging and environmental sciences. To conduct inference for such observations, we develop a paired two-sample…

统计方法学 · 统计学 2025-06-16 Colin Decker , Dehan Kong , Stanislav Volgushev

The premise of independence among subjects in the same cluster/group often fails in practice, and models that rely on such untenable assumption can produce misleading results. To overcome this severe deficiency, we introduce a new…

统计方法学 · 统计学 2022-02-22 Jussiane Nader Gonçalves , Wagner Barreto-Souza , Hernando Ombao

This article considers change point testing and estimation for a sequence of high-dimensional data. In the case of testing for a mean shift for high-dimensional independent data, we propose a new test which is based on $U$-statistic in Chen…

统计理论 · 数学 2021-08-10 Runmin Wang , Changbo Zhu , Stanislav Volgushev , Xiaofeng Shao

The problem of joint sequential detection and isolation is considered in the context of multiple, not necessarily independent, data streams. A multiple testing framework is proposed, where each hypothesis corresponds to a different subset…

统计理论 · 数学 2022-07-04 Anamitra Chaudhuri , Georgios Fellouris

In this paper we explore the behaviour of dependent test statistics for testing of multiple hypothesis . To keep simplicity, we have considered a mixture normal model with equicorrelated correlation set up. With a simple linear…

统计理论 · 数学 2020-01-09 Rahul Roy , Subir Kumar Bhandari

We propose a data segmentation methodology for the high-dimensional linear regression problem where regression parameters are allowed to undergo multiple changes. The proposed methodology, MOSEG, proceeds in two stages: first, the data are…

统计方法学 · 统计学 2023-11-02 Haeran Cho , Dom Owens