ユークリッド距離行列の検定統計量の分布
Distribution of Test Statistic for Euclidean Distance Matrices
GNSS故障検出に用いるユークリッド距離行列の検定統計量の分布を導出し、シミュレーションと一致することを示した。
著者: Dawson Beatty
分類: cs.RO, math.ST, stat.TH
原文アブストラクト
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.