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Maximal Invariants For Lorentz Wishart Models

Statistics Theory 2011-09-26 v2 Statistics Theory

Abstract

In this paper we consider two statistical hypotheses for the families of Wishart type distributions. These distributions are analogs of the Wishart distributions defined and parametrized over a Lorentz cone. We test these hypotheses by means of maximal invariant statistics which are explicitly derived in the paper. The testing problems, respectively, concern the hypothesis that parameters are in a sub-Lorentz-cone, and the the hypothesis that two observations have the same parameter.

Keywords

Cite

@article{arxiv.1109.4699,
  title  = {Maximal Invariants For Lorentz Wishart Models},
  author = {Emanuel Ben-David},
  journal= {arXiv preprint arXiv:1109.4699},
  year   = {2011}
}

Comments

14 pages

R2 v1 2026-06-21T19:08:34.688Z