Pearson Type X distribution

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:organization
gptkbp:alsoKnownAs Beta prime distribution
gptkbp:cumulativeDistributionFunction regularized incomplete beta function
https://www.w3.org/2000/01/rdf-schema#label Pearson Type X distribution
gptkbp:meaning α / (β-1), for β > 1
gptkbp:namedAfter gptkb:Karl_Pearson
gptkbp:parameter α (shape parameter)
β (shape parameter)
gptkbp:partOf gptkb:Pearson_distribution_system
gptkbp:pdf f(x; α, β) = (x^{α-1} (1+x)^{-α-β}) / B(α, β)
gptkbp:relatedTo gptkb:Beta_distribution
gptkbp:supports x > 0
gptkbp:usedIn statistics
Bayesian inference
reliability engineering
gptkbp:variant α(α+β-1) / ((β-2)(β-1)^2), for β > 2
gptkbp:bfsParent gptkb:Pearson_distribution_family
gptkbp:bfsLayer 7