Bingham distribution
In statistics, the Bingham distribution, named after Christopher Bingham, is an antipodally symmetric probability distribution on the "n"-sphere. It is a generalization of the Watson distribution and a special case of the Kent and Fisher-Bingham distributions.

The Bingham distribution is widely used in paleomagnetic data analysis, and has been reported as being of use in the field of computer vision.

Its probability density function is given by

: formula_1
which may also be written
: formula_2

where x is an axis (i.e., a unit vector), "M" is an orthogonal orientation matrix, "Z" is a diagonal concentration matrix, and
formula_3 is a confluent hypergeometric function of matrix argument. The matrices "M" and "Z" are the result of diagonalizing the positive-definite covariance matrix of the Gaussian distribution that underlies the Bingham distribution.
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statistics
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Christopher Bingham
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antipodally symmetric
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probability distribution
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Kent
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paleomagnetic
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computer vision
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probability density function
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hypergeometric function of matrix argument
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Gaussian distribution
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Bingham distribution
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Bingham distribution
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Q4914219
Bingham distribution
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Q4914219
Bingham distribution
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