Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Probability distribution
|
| gptkbp:category |
gptkb:Discrete_distribution
|
| gptkbp:cumulativeDistributionFunction |
Sum of PMF from lower bound to k
|
| gptkbp:describes |
Probability of k successes in n draws without replacement
|
| gptkbp:field |
gptkb:Probability_theory
Statistics |
| gptkbp:firstDescribed |
19th century
|
| gptkbp:hasWikipediaPage |
https://en.wikipedia.org/wiki/Hypergeometric_distribution
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hypergeometric distribution
|
| gptkbp:meaning |
nK/N
|
| gptkbp:namedAfter |
gptkb:Hypergeometric_function
|
| gptkbp:parameter |
Number of draws (n)
Number of observed successes (k) Number of success states in population (K) Population size (N) |
| gptkbp:probability_mass_function |
P(X = k) = [C(K, k) * C(N-K, n-k)] / C(N, n)
|
| gptkbp:relatedTo |
gptkb:Binomial_distribution
Negative hypergeometric distribution |
| gptkbp:supports |
max(0, n+K-N) ≤ k ≤ min(K, n)
|
| gptkbp:usedIn |
Quality control
Card games Sampling without replacement |
| gptkbp:variant |
nK(N-K)(N-n)/[N^2(N-1)]
|
| gptkbp:bfsParent |
gptkb:Binomial_distribution
|
| gptkbp:bfsLayer |
7
|