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gptkbp:instanceOf
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gptkb:organization
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gptkbp:alsoKnownAs
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gptkb:circular_normal_distribution
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gptkbp:application
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animal movement analysis
circular data analysis
wind direction modeling
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gptkbp:category
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continuous probability distribution
circular distribution
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gptkbp:concentrationParameter
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κ
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gptkbp:cumulativeDistributionFunction
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no closed form
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gptkbp:domain
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x in [0, 2π)
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gptkbp:hasSpecialCase
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gptkb:exponential_family
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https://www.w3.org/2000/01/rdf-schema#label
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von Mises distribution
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gptkbp:I0
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gptkb:modified_Bessel_function_of_the_first_kind,_order_0
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gptkbp:I1
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gptkb:modified_Bessel_function_of_the_first_kind,_order_1
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gptkbp:limitation
|
becomes normal distribution as κ→∞
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gptkbp:meanDirection
|
μ
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gptkbp:meaning
|
mean direction μ
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gptkbp:mode
|
mean direction μ
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gptkbp:namedAfter
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gptkb:Richard_von_Mises
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gptkbp:normalizationConstant
|
2π I0(κ)
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gptkbp:parameter
|
concentration parameter
mean direction
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gptkbp:probabilityDensityFunction
|
f(x|μ,κ) = exp(κ cos(x-μ)) / (2π I0(κ))
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gptkbp:relatedTo
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gptkb:normal_distribution
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gptkbp:supports
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gptkb:unit_circle
angle on the circle
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gptkbp:usedIn
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directional statistics
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gptkbp:variant
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1 - I1(κ)/I0(κ)
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gptkbp:bfsParent
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gptkb:Richard_von_Mises
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gptkbp:bfsLayer
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6
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