Pareto distribution

GPTKB entity

Statements (24)
Predicate Object
gptkbp:instanceOf gptkb:organization
gptkbp:category continuous probability distribution
gptkbp:cumulativeDistributionFunction F(x; xm, α) = 1 - (xm/x)^α
gptkbp:describes city population sizes
file size distribution
wealth distribution
gptkbp:firstDescribed 1897
https://www.w3.org/2000/01/rdf-schema#label Pareto distribution
gptkbp:namedAfter gptkb:Vilfredo_Pareto
gptkbp:parameter scale parameter (xm)
shape parameter (α)
gptkbp:probabilityDensityFunction f(x; xm, α) = α xm^α / x^(α+1)
gptkbp:relatedTo gptkb:Zipf's_law
power law
80/20 rule
gptkbp:supports x ≥ xm > 0
gptkbp:usedIn gptkb:insurance
economics
finance
geophysics
sociology
gptkbp:bfsParent gptkb:Yule_distribution
gptkb:Vilfredo_Pareto
gptkbp:bfsLayer 5