inverse gamma distribution

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:organization
gptkbp:category continuous probability distribution
gptkbp:conjugatePriorFor variance of normal distribution
gptkbp:cumulativeDistributionFunction Γ(α, β/x) / Γ(α)
gptkbp:definedIn two parameters: α (shape), β (scale)
https://www.w3.org/2000/01/rdf-schema#label inverse gamma distribution
gptkbp:meaning β / (α - 1), for α > 1
gptkbp:mode β / (α + 1)
gptkbp:notation Inv-Gamma(α, β)
gptkbp:origin derived from gamma distribution by taking reciprocal
gptkbp:parameter scale parameter
shape parameter
gptkbp:pdf f(x; α, β) = (β^α / Γ(α)) x^(-α-1) exp(-β/x)
gptkbp:relatedTo gptkb:gamma_distribution
gptkbp:supports x > 0
gptkbp:usedIn gptkb:machine_learning
gptkb:signal_processing
Bayesian statistics
econometrics
hierarchical Bayesian models
gptkbp:variant β^2 / [(α - 1)^2 (α - 2)], for α > 2
gptkbp:bfsParent gptkb:Lévy_distribution
gptkbp:bfsLayer 6