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gptkbp:instanceOf
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gptkb:organization
|
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gptkbp:cumulativeDistributionFunction
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0 for x<0, 1-p for 0≤x<1, 1 for x≥1
|
|
gptkbp:entropy
|
-p log p - (1-p) log (1-p)
|
|
gptkbp:firstMoment
|
p
|
|
gptkbp:fourthMoment
|
p
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gptkbp:hasSpecialCase
|
gptkb:binomial_distribution
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
bernoulli distribution
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gptkbp:kurtosis
|
(1-6p(1-p))/(p(1-p))
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gptkbp:maximum
|
1
|
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gptkbp:meaning
|
p
|
|
gptkbp:minimum
|
0
|
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gptkbp:mode
|
0 if p<0.5, 1 if p>0.5, both if p=0.5
|
|
gptkbp:namedAfter
|
gptkb:Jacob_Bernoulli
|
|
gptkbp:parameter
|
p (probability of success)
|
|
gptkbp:PMF
|
p^x (1-p)^{1-x}
|
|
gptkbp:relatedTo
|
gptkb:beta_distribution
gptkb:geometric_distribution
gptkb:binomial_distribution
categorical distribution
coin flip
bernoulli trial
|
|
gptkbp:secondMoment
|
p
|
|
gptkbp:skewness
|
(1-2p)/sqrt(p(1-p))
|
|
gptkbp:supports
|
{0, 1}
|
|
gptkbp:thirdMoment
|
p
|
|
gptkbp:usedFor
|
modeling binary outcomes
|
|
gptkbp:usedIn
|
gptkb:machine_learning
gptkb:probability_theory
statistics
|
|
gptkbp:variant
|
p(1-p)
|
|
gptkbp:bfsParent
|
gptkb:Boost.Random
|
|
gptkbp:bfsLayer
|
6
|