Arcsine distribution (when alpha=beta=0.5)
GPTKB entity
Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Probability distribution
|
| gptkbp:alsoKnownAs |
gptkb:Arcsin_distribution
|
| gptkbp:betaParameters |
alpha=0.5, beta=0.5
|
| gptkbp:cumulativeDistributionFunction |
F(x) = (2/π) arcsin(√x) for 0 ≤ x ≤ 1
|
| gptkbp:domain |
continuous
|
| gptkbp:entropy |
ln(π/4)
|
| gptkbp:hasSpecialCase |
gptkb:Beta_distribution
|
| https://www.w3.org/2000/01/rdf-schema#label |
Arcsine distribution (when alpha=beta=0.5)
|
| gptkbp:kurtosis |
1.5
|
| gptkbp:meaning |
0.5
|
| gptkbp:medium |
0.5
|
| gptkbp:mode |
0 and 1
|
| gptkbp:namedAfter |
arcsine function
|
| gptkbp:parameterRestrictions |
0 < x < 1
|
| gptkbp:probabilityDensityFunction |
f(x) = 1 / (π√(x(1-x))) for 0 < x < 1
|
| gptkbp:skewness |
0
|
| gptkbp:supports |
[0, 1]
|
| gptkbp:usedIn |
Brownian motion
random walks |
| gptkbp:variant |
1/8
|
| gptkbp:bfsParent |
gptkb:Beta_distribution
|
| gptkbp:bfsLayer |
6
|