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Published in:
2012 | OriginalPaper | Chapter
Necessary and sufficient conditions for a statistical problem to be invariant under a Lie group
Author : David R. Brillinger
Published in: Selected Works of David Brillinger
Publisher: Springer New York
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Although a great deal has been written concerning the theory of tests, decisions and inference for statistical problems invariant under the action of some group, (see for example [4]–[7], [9], [12]–[14], [16]), no great amount of literature exists concerning the problem of discerning whether or not a given problem is actually invariant under some group. In fact the literature seems to consist of one abstract [8] and one paper [15].