Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:organization
|
| gptkbp:beta_parameters |
α=1/2, β=1/2
|
| gptkbp:category |
continuous probability distribution
|
| gptkbp:cumulativeDistributionFunction |
F(x) = (2/π) arcsin(√x) for x in [0,1]
|
| gptkbp:hasSpecialCase |
gptkb:beta_distribution
|
| https://www.w3.org/2000/01/rdf-schema#label |
arcsine distribution
|
| gptkbp:kurtosis |
-1.5
|
| gptkbp:meaning |
0.5
|
| gptkbp:mode |
0 and 1
|
| gptkbp:namedAfter |
arcsine function
|
| gptkbp:probability_density_function |
f(x) = 1 / (π sqrt(x(1-x))) for x in (0,1)
|
| gptkbp:skewness |
0
|
| gptkbp:supports |
interval [0,1]
|
| gptkbp:used_in |
Brownian motion
random walk theory |
| gptkbp:variant |
1/8
|
| gptkbp:bfsParent |
gptkb:Lévy_arcsine_law
gptkb:Pearson_Type_I |
| gptkbp:bfsLayer |
6
|