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In this paper, we investigate alpha testing for high-dimensional linear factor pricing models. We propose a spatial sign-based max-type test to handle sparse alternative cases. Additionally, we prove that this test is asymptotically…

Methodology · Statistics 2024-09-17 Ping Zhao , Long Feng , Hongfei Wang , Zhaojun Wang

This paper studies alpha testing in a high-dimensional conditional time-varying factor model with temporally dependent observations. Both factor loadings and alpha processes are allowed to vary smoothly over time, and the cross-sectional…

Methodology · Statistics 2026-04-16 Long Feng , Huifang Ma , Zhaojun Wang

In this study, we introduce three distinct testing methods for testing alpha in high dimensional linear factor pricing model that deals with dependent data. The first method is a sum-type test procedure, which exhibits high performance when…

Methodology · Statistics 2024-01-26 Huifang Ma , Long Feng , Zhaojun Wang , Jigang Bao

In this study, we explore a robust testing procedure for the high-dimensional location parameters testing problem. Initially, we introduce a spatial-sign based max-type test statistic, which exhibits excellent performance for sparse…

Methodology · Statistics 2024-12-05 Jixuan Liu , Long Feng , Ping Zhao , Zhaojun Wang

This paper focuses on testing for the presence of alpha in time-varying factor pricing models, specifically when the number of securities N is larger than the time dimension of the return series T. We introduce a maximum-type test that…

Methodology · Statistics 2023-07-19 Huifang MA , Long Feng , Zhaojun Wang

In recent years, there has been considerable research on testing alphas in high-dimensional linear factor pricing models. In our study, we introduce a novel max-type test procedure that performs well under sparse alternatives. Furthermore,…

Methodology · Statistics 2024-04-11 Chenxi Zhao , Ping Zhao , Long Feng , Zhaojun Wang

In this paper, we investigate sphericity testing in high-dimensional settings, where existing methods primarily rely on sum-type test procedures that often underperform under sparse alternatives. To address this limitation, we propose two…

Methodology · Statistics 2024-11-01 Ping Zhao , Wenwan Yang , Long Feng , Zhaojun Wang

We study global inference for regression coefficients in high-dimensional linear models under potentially heavy-tailed errors. While sum-type tests are powerful for dense alternatives and max-type tests excel for sparse alternatives,…

Methodology · Statistics 2026-03-17 Ping Zhao , Liangliang Yuan

Testing high-dimensional quantile regression coefficients is crucial, as tail quantiles often reveal more than the mean in many practical applications. Nevertheless, the sparsity pattern of the alternative hypothesis is typically unknown in…

Methodology · Statistics 2025-12-29 Ping Zhao , Zhenyu Liu , Dan Zhuang

We consider testing zero pricing errors in high-dimensional linear factor pricing models. Existing methods are mainly based on either an $L_2$ statistic, which is effective under dense alternatives, or an $L_\infty$ statistic, which is…

Methodology · Statistics 2026-04-01 Ping Zhao , Huifang Ma , Long Feng

High-dimensional changepoint inference, adaptable to diverse alternative scenarios, has attracted significant attention in recent years. In this paper, we propose an adaptive and robust approach to changepoint testing. Specifically, by…

Methodology · Statistics 2025-04-29 Jixuan Liu , Long Feng , Liuhua Peng , Zhaojun Wang

This paper proposes a new procedure to validate the multi-factor pricing theory by testing the presence of alpha in linear factor pricing models with a large number of assets. Because the market's inefficient pricing is likely to occur to a…

Methodology · Statistics 2023-05-23 Qiang Xia , Xianyang Zhang

A spatial-sign based test procedure is proposed for high dimensional white noise test in this paper. We establish the limit null distribution and give the asymptotical relative efficient of our test with respect to the test proposed by Feng…

Statistics Theory · Mathematics 2023-03-21 Ping Zhao , Dachuan Chen , Zhaojun Wang

In the context of high-dimensional data, we investigate the one-sample location testing problem. We introduce a max-type test based on the weighted spatial sign, which exhibits exceptional performance, particularly in the presence of sparse…

Methodology · Statistics 2025-01-27 Guowei Yan , Ping Zhao , Long Feng

In this paper, we consider the problem of testing the mean vector in the high dimensional settings. We proposed a new robust scalar transform invariant test based on spatial sign. The proposed test statistic is asymptotically normal under…

Methodology · Statistics 2015-06-30 Long Feng , Fasheng Sun

We consider an analysis of variance type problem, where the sample observations are random elements in an infinite dimensional space. This scenario covers the case, where the observations are random functions. For such a problem, we propose…

Methodology · Statistics 2022-07-26 Joydeep Chowdhury , Probal Chaudhuri

We investigate one/two-sample mean tests for high-dimensional compositional data when the number of variables is comparable with the sample size, as commonly encountered in microbiome research. Existing methods mainly focus on max-type test…

Statistics Theory · Mathematics 2024-04-15 Qianqian Jiang , Wenbo Li , Zeng Li

We develop a unified $L$-statistic testing framework for high-dimensional regression coefficients that adapts to unknown sparsity. The proposed statistics rank coordinate-wise evidence measures and aggregate the top $k$ signals, bridging…

Applications · Statistics 2026-02-10 Ping Zhao , Fengyi Song , Huifang Ma

This paper proposes a new test for a change point in the mean of high-dimensional data based on the spatial sign and self-normalization. The test is easy to implement with no tuning parameters, robust to heavy-tailedness and theoretically…

Methodology · Statistics 2022-06-07 Feiyu Jiang , Runmin Wang , Xiaofeng Shao

This paper investigates change point inference in high-dimensional time series. We begin by introducing a max-$L_2$-norm based test procedure, which demonstrates strong performance under dense alternatives. We then establish the asymptotic…

Methodology · Statistics 2025-11-04 Xiaoyi Wang , Jixuan Liu , Long Feng
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