Testing for subsphericity when n and p are of different asymptotic order
: Virta Joni
Publisher: Elsevier B.V.
: 2021
: Statistics and Probability Letters
: Statistics and Probability Letters
: 109209
: 179
: 1879-2103
DOI: https://doi.org/10.1016/j.spl.2021.109209
: https://www.sciencedirect.com/science/article/pii/S0167715221001711?via%3Dihub
: https://research.utu.fi/converis/portal/detail/Publication/66895780
We extend a test of subsphericity to the high-dimensional Gaussian regime where the spikes diverge to infinity and p/n → {0, ∞}. The test is used to derive a consistent estimator for the latent dimension of the model.