maxwell.kappa | R Documentation |
Return the concentration parameter that corresponds to a given circular variance.
maxwell.kappa(nu)
nu |
circular variance |
The concentration parameter κ does not translate across circular distributions. A commonly used measure of spread in circular distributions that does translate is the circular variance defined as ν=1-E[cos(r)] where E[cos(r)] is the mean resultant length. See mardia2000 for more details. This function translates the circular variance ν into the corresponding concentration parameter κ for the modified Maxwell-Boltzmann distribution. For numerical stability, a maximum κ of 1000 is returned.
Concentration parameter corresponding to nu.
Maxwell
# Find the concentration parameter for circular variances 0.25, 0.5, 0.75 maxwell.kappa(0.25) maxwell.kappa(0.5) maxwell.kappa(0.75)
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