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YOKES AND TENSORS DERIVED FROM YOKES

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P. BLÆSILD

*Department of Theoretical Statistics, Institute of Mathematics,*

Aarhus University, DK-8000, Aarhus C, Denmark
(Received June 19, 1989; revised November 30, 1989)

**Abstract.**
A yoke on a differentiable manifold *M*
gives rise to a whole family of derivative strings. Various elemental
properties of a yoke are discussed in terms of these strings. In
particular, using the concept of intertwining from the theory of
derivative strings it is shown that a yoke induces a family of tensors on
*M*. Finally, the expected and observed *alpha*-geometries of a
statistical model and related tensors are shown to be derivable from
particular yokes.

*Key words and phrases*:
Bartlett adjustment factor, contrast
functions, derivative strings, expected geometries, exponential family,
intertwining, observed geometries, statistical manifold, tensorial
components, yoke.

**Source**
( TeX ,
DVI ,
PS )