Distribution of Test Statistic for Euclidean Distance Matrices
<|reference_start|>Distribution of Test Statistic for Euclidean Distance Matrices: Methods for global navigation satellite system fault detection using Euclidean Distance Matrices have been presented recently in the literature. Published methods define a test statistic in terms of eigenvalues of a certain matrix, but the distribution of the test statistic was not known, which presented a barrier to practical implementation. This document was a personal correspondence from Beatty to Derek Knowles. It includes a brief derivation of the distribution of the test statistic and a representative case showing that the theoretical distribution closely matches a simulated empirical distribution.<|reference_end|>
@article{beatty2024distribution,
    title={Distribution of Test Statistic for Euclidean Distance Matrices},
    author={Dawson Beatty},
    journal={arXiv preprint arXiv:2405.10049},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.10049},
    primaryClass={cs.RO math.ST stat.TH}
}