Pearson Type VI distribution

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:organization
gptkbp:continuity true
gptkbp:generalizes gptkb:F-distribution
gptkbp:hasMean mean exists if α2 > 1
gptkbp:hasVariance variance exists if α2 > 2
https://www.w3.org/2000/01/rdf-schema#label Pearson Type VI distribution
gptkbp:namedAfter gptkb:Karl_Pearson
gptkbp:parameter beta (scale parameter)
alpha1 (shape parameter)
alpha2 (shape parameter)
gptkbp:partOf gptkb:Pearson_distribution_family
gptkbp:pdf f(x; α1, α2, β) = (x/β)^{α1-1} / [β B(α1, α2) (1 + x/β)^{α1+α2}] for x > 0
gptkbp:relatedTo beta prime distribution
gptkbp:supports x > 0
gptkbp:usedIn statistics
econometrics
reliability engineering
gptkbp:bfsParent gptkb:Pearson_distribution_family
gptkb:Pearson_distribution_system
gptkbp:bfsLayer 7