Kent Distribution PDF
The Kent distribution’s probability density function, f(x), is given by the equation:
- x is a three dimensional unit value.
- c(κ, β) is a normalizing constant, and is given by the equation
In the above equation, Iv(κ) represents what is called the modified Bessel function.
Boomsma, W., et al. (2006) Graphical models and directional statistics capture protein structure. In S. Barber, P.D. Baxter, K.V.Mardia, & R.E. Walls (Eds.), Interdisciplinary Statistics and Bioinformatics, pp. 91–94. Leeds, Leeds University Press.
Kent, J. T. (1982) The Fisher–Bingham distribution on the sphere., J. Royal. Stat. Soc., 44:71–80.
Mardia, K. V. M., Jupp, P. E. (2000) Directional Statistics (2nd edition), John Wiley and Sons Ltd
Stephanie Glen. "Kent Distribution: Definition" From StatisticsHowTo.com: Elementary Statistics for the rest of us! https://www.statisticshowto.com/kent-distribution-2/
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