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VonMisesDistribution

VonMisesDistribution
represents a von Mises distribution with mean and concentration .
  • The probability density for value in a von Mises distribution is proportional to for between and .
Probability density function:
Cumulative distribution function does not have closed form, but can be evaluated numerically:
Mean:
Circular mean is given by:
Median:
Probability density function:
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Cumulative distribution function does not have closed form, but can be evaluated numerically:
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Mean:
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Circular mean is given by:
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Median:
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Generate a set of pseudorandom numbers that are von Mises distributed:
Compare its histogram to the PDF:
Distribution parameters estimation:
Estimate the distribution parameters from sample data:
Compare a density histogram of the sample with the PDF of the estimated distribution:
Hazard function:
Quantile function:
Generate random points on a unit circle:
Scaled density function on the unit circle:
Generate random points on a unit circle with different concentrations around :
Parameter influence on the CDF for each :
Von Mises distribution is closed under translation:
Relationships to other distributions:
With zero concentration, a von Mises distribution becomes UniformDistribution:
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