hasProbabilityDensityShape

P74406
predicate

Indicates that one entity exhibits, is characterized by, or is associated with a particular shape or form of a probability density function.

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All labels observed (8)

Label Occurrences
probabilityDensityForm 2
densityFunction 1
eigenvalueDensity 1

Description generation (PDg)

The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.

Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning.  
# Instructions
Focus on describing the relationship, not the entities themselves. 
# Response Format
Begin the description with \' Indicates...\'
Input
Predicate: hasProbabilityDensityShape
Generated description
Indicates that one entity exhibits, is characterized by, or is associated with a particular shape or form of a probability density function.

Sample triples (9)

Subject Object
Laplace law of error sharp peak at the mean and heavier tails than the normal distribution ⓘ
Gaussian orthogonal ensemble Wigner semicircle law via predicate surface "eigenvalueDensity" ⓘ
Gaussian orthogonal ensemble proportional to exp of minus n over 4 times trace of H squared in standard normalization via predicate surface "probabilityDensityForm" ⓘ
Gaussian unitary ensemble proportional to exp(-Tr(H^2)/2σ^2) via predicate surface "probabilityDensityForm" ⓘ
Gaussian symplectic ensemble proportional to exp(- (β/2) Tr H^2 ) with β = 4 via predicate surface "hasProbabilityDensityOnMatrices" ⓘ
Dirichlet distribution proportional to product of powers of components via predicate surface "hasDensityFunction" ⓘ
Laplace distribution piecewise exponential around μ via predicate surface "hasProbabilityDensityFunctionProperty" ⓘ
Sato–Tate distribution (for families of elliptic curves) (2/π) sin²(θ) dθ on [0, π] via predicate surface "densityFunction" ⓘ
Wigner semicircle law semicircle via predicate surface "hasDensityShape" ⓘ