We describe an algorithm which computes the invariants of all \(G_{a}\)-actions on affine varieties, in case the invariant ring is finitely generated. The algorithm is based on a study of the kernel of a locally nilpotent derivation and some algoritlums from the theory of Gröbner bases.
On the Efficiency of Affine Invariant Multivariate Rank Tests
✍ Scribed by J. Möttönen; T.P. Hettmansperger; H. Oja; J. Tienari
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 327 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0047-259X
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✦ Synopsis
In this paper the asymptotic Pitman efficiencies of the affine invariant multivariate analogues of the rank tests based on the generalized median of Oja are considered. Formulae for asymptotic relative efficiencies are found and, under multivariate normal and multivariate t distributions, relative efficiencies with respect to Hotelling's T 2 test are calculated.
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