Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:organization
|
| gptkbp:application |
gptkb:estimation_theory
gptkb:signal_processing hypothesis testing |
| gptkbp:cumulativeDistributionFunction |
P(x;k) = gamma(k/2, x^2/2) / Gamma(k/2)
|
| gptkbp:firstAppearance |
early 20th century
|
| gptkbp:hasSpecialCase |
gptkb:generalized_gamma_distribution
|
| https://www.w3.org/2000/01/rdf-schema#label |
chi distribution
|
| gptkbp:kurtosis |
2(1 - (mean)^2/k)
|
| gptkbp:meaning |
sqrt(2) * Gamma((k+1)/2) / Gamma(k/2)
|
| gptkbp:mode |
sqrt(k-1) if k >= 1
|
| gptkbp:namedAfter |
Greek letter chi
|
| gptkbp:parameter |
degrees of freedom
|
| gptkbp:pdf |
(1/2^{k/2-1} Gamma(k/2)) x^{k-1} e^{-x^2/2}
|
| gptkbp:relatedTo |
gptkb:normal_distribution
gptkb:chi-squared_distribution |
| gptkbp:skewness |
(2^{3/2} Gamma((k+1)/2) / Gamma(k/2)) * (1 - (mean)^2/k)
|
| gptkbp:supports |
x > 0
|
| gptkbp:usedIn |
gptkb:probability_theory
statistics |
| gptkbp:variant |
k - (mean)^2
|
| gptkbp:bfsParent |
gptkb:Rayleigh_distribution
gptkb:Nakagami_distribution |
| gptkbp:bfsLayer |
7
|