Abstract
The transformation laws for tensors, for affine connections and for derivatives of scalars may be subsumed under a general concept, termed a string. The intertwining of certain types of strings leads to new strings; thus intertwining of a symmetric scalar string and a symmetric connection string yields a sequence of symmetric tensors. Some statistical instances of strings are given and these are of use for representing various asymptotic expansions in invariant terms. As an example of this, invariant decompositions of Bartlett adjustments are briefly discussed.
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15 articles.
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1. Statistical (Taylor) String Theory;Wiley StatsRef: Statistics Reference Online;2014-09-29
2. Statistical (Taylor) String Theory;Encyclopedia of Statistical Sciences;2006-08-15
3. Tensors and likelihood expansions in the presence of nuisance parameters;Annals of the Institute of Statistical Mathematics;2004-09
4. The geometric structure of the expected/observed likelihood expansions;Annals of the Institute of Statistical Mathematics;1994
5. Preferred Point Geometry and Statistical Manifolds;The Annals of Statistics;1993-09-01