statistical distribution
C1604
concept
A statistical distribution is a conceptual model that describes how the values of a random variable are spread or likely to occur across its possible range.
All labels observed (39)
| Label | Occurrences |
|---|---|
| probability distribution | 28 |
| probability theory concept | 9 |
| continuous probability distribution | 8 |
| statistical law | 6 |
| probability distribution on matrices | 3 |
| statistical distribution canonical | 3 |
| distribution | 2 |
| heavy-tailed distribution | 2 |
| limiting distribution | 2 |
| multivariate distribution | 2 |
| power-law distribution | 2 |
| probability distribution family | 2 |
| univariate distribution | 2 |
| Gaussian distribution | 1 |
| Tsallis distribution | 1 |
| continuous distribution | 1 |
| discrete distribution | 1 |
| eigenvalue distribution | 1 |
| exponential family distribution | 1 |
| generalized Gaussian distribution | 1 |
| law of anomalous numbers | 1 |
| location-scale family | 1 |
| matrix-variate distribution | 1 |
| normal distribution | 1 |
| parametric statistical model | 1 |
| phase-space distribution | 1 |
| point distribution model | 1 |
| prior distribution | 1 |
| probability distribution law | 1 |
| probability distribution over functions | 1 |
| ratio distribution | 1 |
| right-skewed distribution | 1 |
| sampling distribution | 1 |
| stable distribution | 1 |
| symmetric distribution | 1 |
| test statistic distribution | 1 |
| two-parameter distribution | 1 |
| two-point distribution | 1 |
| univariate probability distribution | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: statistical distribution
Generated description
A statistical distribution is a conceptual model that describes how the values of a random variable are spread or likely to occur across its possible range.
Instances (58)
| Instance | Via concept surface |
|---|---|
| Heaviside step function | distribution |
|
Bernoulli
surface form:
Bernoulli distribution
|
probability distribution |
| Bernoulli trials | probability theory concept |
| law of large numbers | statistical law |
| Bose–Einstein statistics | — |
| Laplace law of error | probability distribution |
| Newcomb–Benford law | statistical law |
| Edgeworth expansion | probability theory concept |
|
Hotelling
surface form:
Hotelling's T-squared distribution
|
probability distribution |
| Hotelling’s T-squared distribution | probability distribution |
| Dirac delta function | distribution |
| Erdős–Rényi model | probability theory concept |
| Hellinger distance | probability theory concept |
| F-distribution | probability distribution |
| Cauchy distribution | probability distribution |
| Salpeter initial mass function | power-law distribution |
| Chapman–Kolmogorov equation | probability theory concept |
| Gaussian process | probability distribution over functions |
| Gaussian distribution | probability distribution |
| Gaussian law of error | statistical law |
| CLT | probability theory concept |
|
Wishart
surface form:
Wishart distribution
|
probability distribution |
| Tukey's lambda distribution | probability distribution |
|
Pareto
surface form:
Pareto distribution
|
probability distribution |
| Pareto distribution | probability distribution |
| Vogel spiral | point distribution model |
| Gaussian orthogonal ensemble | probability distribution on matrices |
|
Poisson distribution has P(s) = e^{-s}
surface form:
Poisson distribution with P(s) = e^{-s}
|
probability distribution |
| Gaussian unitary ensemble | probability distribution |
| Gaussian symplectic ensemble | probability distribution on matrices |
| Boltzmann distribution | probability distribution |
| Dirichlet distribution | probability distribution |
| Fermi–Dirac statistics | — |
|
Poisson
surface form:
Poisson distribution
|
probability distribution |
| Bernoulli distribution | probability distribution |
|
Zipf
surface form:
Zipf's law
|
— |
| Zipf's law | statistical law |
| chi-square distribution | probability distribution |
| Student’s t-distribution | probability distribution |
| Laplace distribution | continuous probability distribution |
| double exponential distribution | probability distribution |
|
Frank Benford
surface form:
Benford's law
|
statistical law |
| Pearson distribution | probability distribution family |
| Wishart distribution | probability distribution |
| Sato–Tate distribution (for families of elliptic curves) | probability distribution |
| Bhattacharyya coefficient | probability theory concept |
| Jeffreys prior | prior distribution |
| q-Gaussian distribution | probability distribution |
| Lévy alpha-stable distribution | probability distribution |
| Mexican General Population and Housing Census Law | statistical law |