discrete uniform distribution
GPTKB entity
Statements (22)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:organization
discrete distribution |
gptkbp:category |
elementary probability distributions
|
gptkbp:cumulativeDistributionFunction |
F(x) = (floor(x) - a + 1)/n for a ≤ x < b
|
gptkbp:example |
rolling a fair die
drawing a card from a well-shuffled deck |
gptkbp:firstDescribed |
gptkb:probability_theory
|
https://www.w3.org/2000/01/rdf-schema#label |
discrete uniform distribution
|
gptkbp:meaning |
(a + b)/2
|
gptkbp:notation |
U(a, b)
|
gptkbp:parameter |
number of possible outcomes (n)
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gptkbp:probability_mass_function |
P(X = x) = 1/n for x in {a, ..., b}
|
gptkbp:probability_of_each_outcome |
1/n
|
gptkbp:relatedTo |
gptkb:Bernoulli_distribution
continuous uniform distribution |
gptkbp:supports |
finite set of integers
|
gptkbp:used_in |
random sampling
simulations games of chance |
gptkbp:variant |
((n^2)-1)/12
|
gptkbp:bfsParent |
gptkb:uniform_distribution
|
gptkbp:bfsLayer |
6
|