Double Robust high dimensional alpha test for linear factor pricing model
Methodology
2024-09-17 v2
Abstract
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 independent of the spatial-sign-based sum-type test proposed by Liu et al. (2023). Based on this result, we introduce a Cauchy Combination test procedure that combines both the max-type and sum-type tests. Simulation studies and real data applications demonstrate that the new proposed test procedure is robust not only for heavy-tailed distributions but also for the sparsity of the alternative hypothesis.
Keywords
Cite
@article{arxiv.2408.06612,
title = {Double Robust high dimensional alpha test for linear factor pricing model},
author = {Ping Zhao and Long Feng and Hongfei Wang and Zhaojun Wang},
journal= {arXiv preprint arXiv:2408.06612},
year = {2024}
}