Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:organization
|
| gptkbp:conjugatePriorFor |
gptkb:geometric_distribution
gptkb:negative_binomial_distribution gptkb:Bernoulli_distribution gptkb:binomial_distribution |
| gptkbp:continuity |
true
|
| gptkbp:cumulativeDistributionFunction |
regularized incomplete beta function
|
| gptkbp:definedIn |
interval [0, 1]
|
| gptkbp:entropy |
log B(alpha, beta) - (alpha-1)ψ(alpha) - (beta-1)ψ(beta) + (alpha+beta-2)ψ(alpha+beta)
|
| gptkbp:firstDescribed |
19th century
|
| gptkbp:hasSpecialCase |
continuous probability distribution
|
| https://www.w3.org/2000/01/rdf-schema#label |
beta distribution
|
| gptkbp:kurtosis |
6*((alpha-beta)^2*(alpha+beta+1)-alpha*beta*(alpha+beta+2))/ (alpha*beta*(alpha+beta+2)*(alpha+beta+3))
|
| gptkbp:meaning |
alpha / (alpha + beta)
|
| gptkbp:mode |
(alpha - 1) / (alpha + beta - 2) (if alpha, beta > 1)
|
| gptkbp:namedAfter |
beta function
|
| gptkbp:parameter |
alpha
beta |
| gptkbp:pdf |
x^(alpha-1) * (1-x)^(beta-1) / B(alpha, beta)
|
| gptkbp:relatedTo |
gptkb:Dirichlet_distribution
gptkb:gamma_distribution |
| gptkbp:skewness |
(2*(beta-alpha)*sqrt(alpha+beta+1))/((alpha+beta+2)*sqrt(alpha*beta))
|
| gptkbp:supports |
x in [0, 1]
|
| gptkbp:usedFor |
modeling proportions
modeling probabilities |
| gptkbp:usedIn |
Bayesian statistics
random number generation order statistics |
| gptkbp:variant |
(alpha * beta) / ((alpha + beta)^2 * (alpha + beta + 1))
|
| gptkbp:bfsParent |
gptkb:Beta
|
| gptkbp:bfsLayer |
5
|