(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.
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