circular normal distribution

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:organization
gptkbp:alsoKnownAs	gptkb:von_Mises_distribution
gptkbp:application	biology engineering geology meteorology physics
gptkbp:citation	gptkb:von_Mises,_R._(1918)._"Über_die_'Ganzzahligkeit'_der_Atomgewichte_und_verwandte_Fragen"._Physikalische_Zeitschrift.
gptkbp:cumulativeDistributionFunction	no closed form
gptkbp:distributionFamily	gptkb:exponential_family
gptkbp:field	statistics directional statistics
gptkbp:firstPublished	1918
https://www.w3.org/2000/01/rdf-schema#label	circular normal distribution
gptkbp:kurtosis	depends on κ
gptkbp:limitCase	as κ → 0, becomes uniform distribution as κ → ∞, approaches normal distribution on circle
gptkbp:maximumLikelihoodEstimation	used for parameter estimation
gptkbp:meaning	mean direction μ
gptkbp:namedAfter	gptkb:Richard_von_Mises
gptkbp:parameter	concentration parameter mean direction
gptkbp:probabilityDensityFunction	f(θ; μ, κ) = [exp(κ cos(θ - μ))] / [2π I₀(κ)]
gptkbp:relatedTo	gptkb:normal_distribution
gptkbp:skewness	zero (symmetric distribution)
gptkbp:specialFunction	gptkb:modified_Bessel_function_of_the_first_kind
gptkbp:supports	gptkb:butter [0, 2π)
gptkbp:type	continuous probability distribution
gptkbp:usedFor	modeling angles modeling directions
gptkbp:variant	depends on κ
gptkbp:bfsParent	gptkb:von_Mises_distribution
gptkbp:bfsLayer	7