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
|