Gaussian distribution (precision parameterization)
GPTKB entity
Statements (23)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:organization
|
gptkbp:accuracy |
inverse of variance
|
gptkbp:alternativeName |
gptkb:Normal_distribution_(precision_parameterization)
|
gptkbp:category |
continuous probability distribution
|
gptkbp:conjugatePriorFor |
Gaussian likelihood with known mean or variance
|
gptkbp:domain |
real numbers
|
https://www.w3.org/2000/01/rdf-schema#label |
Gaussian distribution (precision parameterization)
|
gptkbp:meaning |
μ
|
gptkbp:meanSymbol |
μ
|
gptkbp:notation |
N(μ, τ^{-1})
|
gptkbp:parameter |
mean
precision |
gptkbp:precisionSymbol |
τ
|
gptkbp:probability_density_function |
f(x) = sqrt(τ/2π) * exp(-0.5 * τ * (x - μ)^2)
|
gptkbp:relatedTo |
gptkb:Normal_distribution_(standard_parameterization)
|
gptkbp:supports |
x ∈ ℝ
|
gptkbp:usedIn |
gptkb:machine_learning
Bayesian statistics |
gptkbp:varianceSymbol |
σ^2
|
gptkbp:variant |
1/τ
σ^2 = 1/τ |
gptkbp:bfsParent |
gptkb:normal_distribution_(precision_parameter)
|
gptkbp:bfsLayer |
7
|