Abstract
The affine type of distributions on the real line are represented as sequences of distributions of maximal invariants on spheres. It is shown that such a representation characterizes the affine type. A consistency condition is introduced, and it is shown that any sequence of maximal invariant distributions satisfying the condition is generated by some affine type on $\mathbf{R}$.
Citation
Christopher G. Small. "Characterization of Type from Maximal Invariant Spectra." Ann. Statist. 11 (3) 979 - 983, September, 1983. https://doi.org/10.1214/aos/1176346263
Information