hasDistributionFunction
P9754
predicate
Indicates that an entity is associated with a specific distribution function that characterizes how its values or occurrences are probabilistically or statistically distributed.
All labels observed (13)
| Label | Occurrences |
|---|---|
| cumulativeDistributionFunction | 10 |
| hasCumulativeDistributionFunction | 5 |
| hasProbabilityDensityFunction | 5 |
| hasDistributionFunction canonical | 3 |
| hasStationaryDistribution | 2 |
| hasAngularDistribution | 1 |
| hasDistributionOfIncrements | 1 |
| hasInterarrivalDistribution | 1 |
| hasMatrixElementsDistribution | 1 |
| hasProbabilityGeneratingFunctionOfN(t) | 1 |
| hasTransitionDistribution | 1 |
| probabilityDistributionForm | 1 |
| usesDistributionalMethod | 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: hasDistributionFunction
Generated description
Indicates that an entity is associated with a specific distribution function that characterizes how its values or occurrences are probabilistically or statistically distributed.
Sample triples (33)
| Subject | Object |
|---|---|
| Fermi–Dirac statistics | f(E) = 1 / (exp((E − μ) / kT) + 1) ⓘ |
| Gaussian distribution | Φ((x−μ)/σ) via predicate surface "cumulativeDistributionFunction" ⓘ |
| Ornstein–Uhlenbeck process | normal distribution via predicate surface "hasStationaryDistribution" ⓘ |
|
Ising model
linked to:
Ising models
|
P(s) ∝ exp(-βH(s)) via predicate surface "probabilityDistributionForm" ⓘ |
| Fermi gas |
Fermi–Dirac distribution
ⓘ
linked to:
Fermi–Dirac statistics
|
| Laplace law of error | F(x|μ,b) = 0.5 · exp((x-μ)/b) for x < μ via predicate surface "cumulativeDistributionFunction" ⓘ |
| Laplace law of error | F(x|μ,b) = 1 - 0.5 · exp(-(x-μ)/b) for x ≥ μ via predicate surface "cumulativeDistributionFunction" ⓘ |
| Rainbow DQN | categorical value distribution (C51) via predicate surface "usesDistributionalMethod" ⓘ |
| Cauchy distribution | f(x; x0, γ) = 1 / [πγ (1 + ((x - x0)/γ)^2)] via predicate surface "hasProbabilityDensityFunction" ⓘ |
|
standard Cauchy distribution
linked to:
Cauchy distribution
|
f(x) = 1 / [π (1 + x^2)] via predicate surface "hasProbabilityDensityFunction" ⓘ |
| Cauchy distribution | F(x; x0, γ) = 1/π arctan((x - x0)/γ) + 1/2 via predicate surface "hasCumulativeDistributionFunction" ⓘ |
|
standard Cauchy distribution
linked to:
Cauchy distribution
|
F(x) = 1/π arctan(x) + 1/2 via predicate surface "hasCumulativeDistributionFunction" ⓘ |
| Møller scattering | forward-peaked at high energies via predicate surface "hasAngularDistribution" ⓘ |
|
Ornstein–Uhlenbeck process
linked to:
OU process
|
normal distribution via predicate surface "hasStationaryDistribution" ⓘ |
|
Ornstein–Uhlenbeck process
linked to:
OU process
|
normal distribution with time-dependent mean and variance via predicate surface "hasTransitionDistribution" ⓘ |
| Bose gas |
Bose–Einstein distribution
ⓘ
linked to:
Bose–Einstein statistics
|
| Pareto distribution | F(x) = 1 - (x_m / x)^α for x ≥ x_m via predicate surface "cumulativeDistributionFunction" ⓘ |
|
Poisson distribution with P(s) = e^{-s}
linked to:
Poisson distribution has P(s) = e^{-s}
|
P(s) = e^{-s} via predicate surface "hasProbabilityDensityFunction" ⓘ |
|
Poisson distribution with P(s) = e^{-s}
linked to:
Poisson distribution has P(s) = e^{-s}
|
F(s) = 1 - e^{-s} via predicate surface "hasCumulativeDistributionFunction" ⓘ |
| Gaussian symplectic ensemble | Gaussian in quaternion components via predicate surface "hasMatrixElementsDistribution" ⓘ |
| Poisson process |
Poisson distribution
via predicate surface "hasDistributionOfIncrements"
ⓘ
linked to:
Poisson process
|
| Poisson process | exponential distribution via predicate surface "hasInterarrivalDistribution" ⓘ |
| Poisson process | exp(λt(z − 1)) via predicate surface "hasProbabilityGeneratingFunctionOfN(t)" ⓘ |
| Bernoulli distribution | F(x)=0 for x<0 via predicate surface "cumulativeDistributionFunction" ⓘ |
| Bernoulli distribution | F(x)=1-p for 0≤x<1 via predicate surface "cumulativeDistributionFunction" ⓘ |
| Bernoulli distribution | F(x)=1 for x≥1 via predicate surface "cumulativeDistributionFunction" ⓘ |
| Student’s t-distribution | expressible via incomplete beta function via predicate surface "cumulativeDistributionFunction" ⓘ |
| Laplace distribution | F(x|μ,b) = 0.5 exp((x-μ)/b) for x < μ via predicate surface "cumulativeDistributionFunction" ⓘ |
| Laplace distribution | F(x|μ,b) = 1 - 0.5 exp(-(x-μ)/b) for x ≥ μ via predicate surface "cumulativeDistributionFunction" ⓘ |
| double exponential distribution | f(x|μ,b) = (1/(2b)) exp(-|x-μ|/b) via predicate surface "hasProbabilityDensityFunction" ⓘ |
| double exponential distribution | F(x) = 0.5 exp((x-μ)/b) for x < μ via predicate surface "hasCumulativeDistributionFunction" ⓘ |
| double exponential distribution | F(x) = 1 - 0.5 exp(-(x-μ)/b) for x ≥ μ via predicate surface "hasCumulativeDistributionFunction" ⓘ |
| double exponential distribution | f(x|μ,λ) = (λ/2) exp(-λ|x-μ|) via predicate surface "hasProbabilityDensityFunction" ⓘ |