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gptkbp:instanceOf
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gptkb:organization
|
|
gptkbp:application
|
gptkb:insurance
biology
physics
queueing theory
telecommunications
traffic flow
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gptkbp:cumulativeDistributionFunction
|
F(k; λ) = e^{-λ} * Σ_{i=0}^k (λ^i / i!)
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gptkbp:describes
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number of events in a fixed interval
|
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gptkbp:firstDescribed
|
1837
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Poisson distribution
|
|
gptkbp:isDiscrete
|
true
|
|
gptkbp:kurtosis
|
1/lambda
|
|
gptkbp:lambdaRepresents
|
average rate of occurrence
|
|
gptkbp:limitation
|
binomial distribution as n→∞, p→0, np=λ
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|
gptkbp:meaning
|
lambda
|
|
gptkbp:mode
|
floor(lambda)
|
|
gptkbp:namedAfter
|
gptkb:Siméon_Denis_Poisson
|
|
gptkbp:parameter
|
lambda
|
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gptkbp:probabilityMassFunction
|
P(k; λ) = (λ^k * e^{-λ}) / k!
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|
gptkbp:relatedTo
|
gptkb:binomial_distribution
gptkb:exponential_distribution
|
|
gptkbp:skewness
|
1/sqrt(lambda)
|
|
gptkbp:supports
|
non-negative integers
|
|
gptkbp:usedIn
|
gptkb:probability_theory
statistics
|
|
gptkbp:variant
|
lambda
|
|
gptkbp:bfsParent
|
gptkb:Poisson_Processes
gptkb:Poisson_process
gptkb:binomial_distribution_(as_n→∞,_p→0,_np=μ)
gptkb:exponential_family
|
|
gptkbp:bfsLayer
|
5
|