Abstract
In the present chapter, the symmetry of form invariance, introduced in Chap. 6, is generalised to a discrete event variable x. It was assumed in Chap. 6 that both x and the hypothesis parameter ξ were real. If x is discrete and ξ is real, form invariance cannot exist in the sense of (6.21), because there is no transformation of x that can take account of an infinitesimal transformation of ξ. Hence the definition of form invariance given in Chap. 6 does not cover the case of discrete x. The linear representation (8.20) of form invariance found in Chap. 8 provides the starting point for the more general definition.
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© 2003 Springer-Verlag Berlin Heidelberg
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Harney, H.L. (2003). Form Invariance II: Natural x . In: Bayesian Inference. Advanced Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06006-3_11
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DOI: https://doi.org/10.1007/978-3-662-06006-3_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05577-5
Online ISBN: 978-3-662-06006-3
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