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Kent Distribution: Definition

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The Kent distribution, also known as the 5-parameter Fisher-Bingham distribution, is a probability distribution in ℜ3, the real three dimensional coordinate space, of a two-dimensional unit sphere.

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.

Stephanie Glen. "Kent Distribution: Definition" From Elementary Statistics for the rest of us!

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