Noncentral chi-squared distribution
GPTKB entity
Statements (23)
Predicate | Object |
---|---|
gptkbp:instanceOf |
Probability distribution
|
gptkbp:cumulativeDistributionFunction |
No closed form
|
gptkbp:describedYear |
1936
|
gptkbp:field |
gptkb:Probability_theory
Statistics |
gptkbp:firstDescribed |
gptkb:Karl_Pearson
|
gptkbp:generalizes |
gptkb:Chi-squared_distribution
|
gptkbp:hasSpecialCase |
gptkb:Generalized_chi-squared_distribution
|
https://www.w3.org/2000/01/rdf-schema#label |
Noncentral chi-squared distribution
|
gptkbp:limitation |
gptkb:Chi-squared_distribution_(λ=0)
|
gptkbp:meaning |
k + λ
|
gptkbp:notation |
χ²(k, λ)
|
gptkbp:parameter |
Degrees of freedom
Noncentrality parameter |
gptkbp:pdf |
Involves modified Bessel function
|
gptkbp:relatedTo |
gptkb:Noncentral_F-distribution
gptkb:Noncentral_t-distribution |
gptkbp:supports |
[0, ∞)
|
gptkbp:usedIn |
gptkb:Hypothesis_testing
Power analysis |
gptkbp:variant |
2k + 4λ
|
gptkbp:bfsParent |
gptkb:Chi-squared_distribution
|
gptkbp:bfsLayer |
6
|