Logarithm of the Kent distribution normalizing constant {Directional}

Logarithm of the Kent distribution normalizing constant

Description

Logarithm of the Kent distribution normalizing constant.

Usage

kent.logcon(k, b, j = 100)

Arguments

k

The conencration parameter, \kappa.

b

The ovalness parameter, \beta.

j

The number of the terms in the sum to use. By default this is 100.

Details

It calculates logarithm of the normalising constant of the Kent distribution.

Value

The value of the logarithm of the normalising constant of the Kent distribution.

Author(s)

Michail Tsagris.

R implementation and documentation: Michail Tsagris [e-mail] and Giorgos Athineou <[e-mail]>.

References

Kent John (1982). The Fisher-Bingham distribution on the sphere. Journal of the Royal Statistical Society, Series B, 44(1): 71–80.

See Also

fb.saddle, kent.mle

Examples

kent.logcon(10, 2)
fb.saddle( c(0, 10, 0), c(0, -2, 2) )