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gptkbp:instanceOf
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gptkb:organization
|
|
gptkbp:alsoKnownAs
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gptkb:Cauchy_distribution
|
|
gptkbp:characteristic
|
exp(ix0t - γ|t|)
|
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gptkbp:compatibleWith
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gptkb:normal_distribution
|
|
gptkbp:cumulativeDistributionFunction
|
F(x; x0, γ) = (1/π) arctan((x - x0)/γ) + 1/2
|
|
gptkbp:hasHeavyTails
|
true
|
|
gptkbp:hasSpecialCase
|
stable distribution
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Lorentzian distribution
|
|
gptkbp:kurtosis
|
undefined
|
|
gptkbp:locationParameter
|
x0
|
|
gptkbp:maximumLikelihoodEstimator
|
half interquartile range for γ
median for x0
|
|
gptkbp:meaning
|
undefined
|
|
gptkbp:medium
|
x0
|
|
gptkbp:mode
|
x0
|
|
gptkbp:moments
|
undefined for order ≥ 1
|
|
gptkbp:namedAfter
|
gptkb:Hendrik_Lorentz
|
|
gptkbp:probabilityDensityFunction
|
f(x; x0, γ) = [1/π] [γ / ((x - x0)^2 + γ^2)]
|
|
gptkbp:relatedTo
|
gptkb:Breit–Wigner_distribution
gptkb:Student's_t-distribution_(ν=1)
gptkb:Voigt_profile
|
|
gptkbp:scaleParameter
|
γ
|
|
gptkbp:skewness
|
undefined
|
|
gptkbp:supports
|
x in (-∞, ∞)
|
|
gptkbp:usedIn
|
gptkb:signal_processing
physics
spectroscopy
|
|
gptkbp:variant
|
undefined
|
|
gptkbp:bfsParent
|
gptkb:Breit–Wigner_resonance
|
|
gptkbp:bfsLayer
|
7
|