Author name: Mitchell A. Thornton

arXiv:2604.03634v2 Announce Type: replace
Abstract: We establish that temporal averaging over multiple observations is the degenerate case of algebraic group action with the trivial group $G=\{e\}$. A General Replacement Theorem proves that a group-av…

arXiv:2604.03634v1 Announce Type: new
Abstract: We prove that temporal averaging over multiple observations can be replaced by algebraic group action on a single observation for second-order statistical estimation. A General Replacement Theorem establ…