On the derivatives of the normalising constant of the Bingham distribution

Kume, A.; Wood, Andrew T.A.

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On the derivatives of the normalising constant of the Bingham distribution

Date

2007-04-15

Authors

Kume, A.

Wood, Andrew T.A.

Abstract

It is shown that an arbitrary joint partial derivative of the Bingham normalising constant, expressed in standard form, is proportional to the normalising constant of a Bingham distribution of higher dimension. Two consequences of this result are noted.