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Directional (version 6.8)

MLE of the Matrix Fisher distribution on SO(3): MLE of the Matrix Fisher distribution on SO(3)

Description

It returns the maximum likelihood estimate of the Matrix Fisher parameter F(3x3).

Usage

matrixfisher.mle(X)

Value

The components of \( svd( \bar{X} ) \).

Arguments

X

An array containing rotation matrices in SO(3).

Author

Anamul Sajib and Chris Fallaize.

R implementation and documentation: Anamul Sajib <sajibstat@du.ac.bd> and Chris Fallaize.

References

Prentice M. J. (1986). Orientation statistics without parametric assumptions. Journal of the Royal Statistical Society. Series B: Methodological 48(2): 214--222.

See Also

rmatrixfisher

Examples

Run this code
F <- 10^(-1) * matrix( c(85, 11, 41, 78, 39, 60, 43, 64, 48), ncol = 3 )   ### An arbitrary F matrix
X <- rmatrixfisher(5000, F)
matrixfisher.mle(X)
svd(F)

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