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Empirical economic studies often involve multiple propositions or hypotheses, with researchers aiming to assess both the collective and individual evidence against these propositions or hypotheses. To rigorously assess this evidence,…

计量经济学 · 经济学 2024-08-26 Zeng-Hua Lu

We propose a two-sample mean test based on the Bayes factor with non-informative priors, specifically designed for scenarios where the dimension $p$ grows with the sample size $n$ with a linear rate $p/n \to c_1 \in (0, \infty)$. We…

统计方法学 · 统计学 2026-04-07 Daojiang He , Suren Xu , Jing Zhou

Robust estimators and Wald-type tests are developed for the multinomial logistic regression based on $\phi$-divergence measures. The robustness of the proposed estimators and tests is proved through the study of their influence functions…

统计理论 · 数学 2021-02-08 Elena Castilla , Pedro J. Chocano

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

Space-filling designs such as scrambled-Hammersley, Latin Hypercube Sampling and Jittered Sampling have been proposed for fully parallel hyperparameter search, and were shown to be more effective than random or grid search. In this paper,…

机器学习 · 计算机科学 2020-01-22 M. -L. Cauwet , C. Couprie , J. Dehos , P. Luc , J. Rapin , M. Riviere , F. Teytaud , O. Teytaud

In this paper new tests for the independence of two high-dimensional vectors are investigated. We consider the case where the dimension of the vectors increases with the sample size and propose multivariate analysis of variance-type…

统计理论 · 数学 2023-04-19 Taras Bodnar , Holger Dette , Nestor Parolya

The log-rank test is most powerful under proportional hazards (PH). In practice, non-PH patterns are often observed in clinical trials, such as in immuno-oncology; therefore, alternative methods are needed to restore the efficiency of…

Test of independence is of fundamental importance in modern data analysis, with broad applications in variable selection, graphical models, and causal inference. When the data is high dimensional and the potential dependence signal is…

统计方法学 · 统计学 2023-06-13 Zhanrui Cai , Jing Lei , Kathryn Roeder

So-called linear rank statistics provide a means for distribution-free (even in finite samples), yet highly flexible, two-sample testing in the setting of univariate random variables. Their flexibility derives from a choice of weights that…

统计方法学 · 统计学 2023-10-03 Dan D. Erdmann-Pham

Factor-adjusted multiple testing is used for handling strong correlated tests. Since most of previous works control the false discovery rate under sparse alternatives, we develop a two-step method, namely the AdaFAT, for any true false…

统计理论 · 数学 2020-11-03 Mengkun Du , Lan Wu

Using modifications of Lindeberg's interpolation technique, I propose a new identification-robust test for the structural parameter in a heteroskedastic instrumental variables model. While my analysis allows the number of instruments to be…

计量经济学 · 经济学 2024-12-17 Manu Navjeevan

In analyzing high-dimensional models, sparsity of the model parameter is a common but often undesirable assumption. In this paper, we study the following two-sample testing problem: given two samples generated by two high-dimensional linear…

统计理论 · 数学 2017-08-16 Yinchu Zhu , Jelena Bradic

For the multi-sample equal covariance function (ECF) testing problem, Zhang (2013) proposed an $L^{2}$-norm based test. However, its asymptotic power and finite sample performance have not been studied. In this paper, its asymptotic power…

统计理论 · 数学 2016-09-15 Jia Guo , Jin-Ting Zhang

Testing the equality in distributions of multiple samples is a common task in many fields. However, this problem for high-dimensional or non-Euclidean data has not been well explored. In this paper, we propose new nonparametric tests based…

统计方法学 · 统计学 2022-05-30 Hoseung Song , Hao Chen

In this paper, we consider testing the martingale difference hypothesis for high-dimensional time series. Our test is built on the sum of squares of the element-wise max-norm of the proposed matrix-valued nonlinear dependence measure at…

计量经济学 · 经济学 2023-11-15 Jinyuan Chang , Qing Jiang , Xiaofeng Shao

When outcome data are expensive or onerous to collect, scientists increasingly substitute predictions from machine learning and AI models for unlabeled cases, a process which has consequences for downstream statistical inference. While…

机器学习 · 统计学 2026-03-13 Stephen Salerno , Zhenke Wu , Tyler McCormick

We develop novel estimation procedures with supporting econometric theory for a dynamic latent-factor model with high-dimensional asset characteristics, that is, the number of characteristics is on the order of the sample size. Utilizing…

计量经济学 · 经济学 2024-05-27 Adam Baybutt

Large-dimensional factor model has drawn much attention in the big-data era, in order to reduce the dimensionality and extract underlying features using a few latent common factors. Conventional methods for estimating the factor model…

统计方法学 · 统计学 2020-06-02 Yong He , Xinbing Kong , Long Yu , Xinsheng Zhang

The estimation of signal dimension under heavy-tailed latent factor models is studied. As a primary contribution, robust extensions of an earlier estimator based on Gaussian Stein's unbiased risk estimation are proposed. These novel…

统计理论 · 数学 2022-03-31 Joni Virta , Niko Lietzen , Henri Nyberg

We introduce a new method of performing high dimensional discriminant analysis, which we call multiDA. We achieve this by constructing a hybrid model that seamlessly integrates a multiclass diagonal discriminant analysis model and feature…

机器学习 · 统计学 2018-07-05 Sarah Elizabeth Romanes , John Thomas Ormerod , Jean YH Yang