Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:organization
|
| gptkbp:alsoKnownAs |
gptkb:Beta_distribution
|
| gptkbp:family |
gptkb:Pearson_distribution_system
|
| gptkbp:firstDescribed |
1895
|
| gptkbp:generalizes |
gptkb:arcsine_distribution
gptkb:triangular_distribution gptkb:uniform_distribution binomial distribution (in the limit) |
| gptkbp:hasSpecialCase |
gptkb:Pearson_distribution
|
| https://www.w3.org/2000/01/rdf-schema#label |
Pearson Type I
|
| gptkbp:kurtosis |
varies with parameters
|
| gptkbp:meaning |
a + (b-a) alpha / (alpha + beta)
|
| gptkbp:namedAfter |
gptkb:Karl_Pearson
|
| gptkbp:parameter |
a
b alpha beta |
| gptkbp:pdf |
f(x) = (x-a)^{alpha-1} (b-x)^{beta-1} / B(alpha, beta) (b-a)^{alpha+beta-1}
|
| gptkbp:relatedTo |
gptkb:Beta_function
|
| gptkbp:skewness |
can be positive or negative
|
| gptkbp:supports |
x in [a, b]
|
| gptkbp:usedIn |
gptkb:probability_theory
statistics |
| gptkbp:variant |
(b-a)^2 alpha beta / [(alpha+beta)^2 (alpha+beta+1)]
|
| gptkbp:bfsParent |
gptkb:Pearson_distribution
|
| gptkbp:bfsLayer |
5
|