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The requirement of transformation invariance of a probability distribution is employed to derive prior probabilities for the coefficients of the equation describing a hyperplane. In two dimensions, this is a straight line, in three dimensions an ordinary plane etc. We treat the general case of n dimensions and propose a procedure to normalise the resulting distributions in order to make them proper and appropriate for model comparison purposes.

Additional information

Authors: DOSE V, Centre for Interdisciplinary Plasma Science, Max-Planck-Institut für Plasmaphysik, EURATOM Association, Garching (DE)
Bibliographic Reference: An article published in: Bayesian Inference and Maximum Entropy Methods in Science and Engineering: 22nd International Workshop, edited by C J Williams. American Institute of Physics, 2003. $20.00
Availability: Available from Max-Planck-Institut für Plasmaphysik, Teilinstitut Greifswald, Wendelsteinstrasse 1, D-17491 Greifswald Tel: (+49) (3834) 881211 Fax: (+49) (3934) 881219 E-mail:
ISBN: ISBN: 0-7354-0119-5
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