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gptkbp:instanceOf
|
gptkb:organization
|
|
gptkbp:alsoKnownAs
|
gptkb:Cauchy_distribution
|
|
gptkbp:characteristic
|
exp(ixx0 - γ|t|)
|
|
gptkbp:cumulativeDistributionFunction
|
F(x; x0, γ) = (1/π) arctan((x - x0)/γ) + 1/2
|
|
gptkbp:hasFatTails
|
true
|
|
gptkbp:hasModel
|
impulse noise
resonance behavior in physics
spectral line broadening
|
|
gptkbp:hasNoFiniteMoments
|
true
|
|
gptkbp:hasProbabilityDensityFunction
|
f(x; x0, γ) = (1/π) [γ / ((x - x0)^2 + γ^2)]
|
|
gptkbp:hasSpecialCase
|
gptkb:Student's_t-distribution_(with_1_degree_of_freedom)
stable distribution
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Lorentz distribution
|
|
gptkbp:isHeavyTailed
|
true
|
|
gptkbp:isStableDistribution
|
true
|
|
gptkbp:kurtosis
|
undefined
|
|
gptkbp:meaning
|
undefined
|
|
gptkbp:medium
|
x0
|
|
gptkbp:mode
|
x0
|
|
gptkbp:namedAfter
|
gptkb:Augustin-Louis_Cauchy
gptkb:Hendrik_Lorentz
|
|
gptkbp:parameter
|
location parameter (x0)
scale parameter (γ)
|
|
gptkbp:skewness
|
undefined
|
|
gptkbp:supports
|
x in (-∞, ∞)
|
|
gptkbp:symmetry
|
true
|
|
gptkbp:usedIn
|
gptkb:signal_processing
physics
spectroscopy
statistics
|
|
gptkbp:variant
|
undefined
|
|
gptkbp:bfsParent
|
gptkb:Breit–Wigner_distribution
gptkb:Cauchy_distribution
|
|
gptkbp:bfsLayer
|
6
|