New research paper about high-dimensional inference out now

A paper that was part of my dissertation work during grad school is now finally published in the Annals of Statistics. Details can be found below:

Title: Testing high-dimensional regression coefficients in linear models

Abstract: This paper is concerned with statistical inference for regression coefficients in high-dimensional linear regression models. We propose a new method for testing the coefficient vector of the high-dimensional linear models, and establish the asymptotic normality of our proposed test statistic with the aid of the martingale central limit theorem. We derive the asymptotical relative efficiency (ARE) of the proposed test with respect to the test proposed in Zhong and Chen (J. Amer. Statist. Assoc. 106 (2011) 260–274), and show that the ARE is always greater or equal to one under the local alternative studied in this paper. Our numerical studies imply that the proposed test with critical values derived from its asymptotical normal distribution may retain Type I error rate very well. Our numerical comparison demonstrates the proposed test performs better than existing ones in terms of powers. We further illustrate our proposed method with a real data example.

Canonical link: https://doi.org/10.1214/24-AOS2420

Because part of my time working on this was funded via an NIH grant an open-access PDF is available for those who do not subscribe to the journal in question.

Open access link : https://scholarsphere.psu.edu/resources/231ddcf5-36b8-40bf-b08a-d453b00aaf25