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gptkbp:instanceOf
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gptkb:organization
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gptkbp:application
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Bayesian statistics
reliability engineering
modeling waiting times
queuing models
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gptkbp:characteristic
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(1-iθt)^{-k}
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gptkbp:conjugatePriorFor
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gptkb:normal_distribution_(precision_parameter)
gptkb:Poisson_distribution
gptkb:exponential_distribution
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gptkbp:cumulativeDistributionFunction
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F(x;k,θ) = γ(k, x/θ) / Γ(k)
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gptkbp:firstDescribed
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gptkb:E._Pearson
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gptkbp:generalizes
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gptkb:chi-squared_distribution
gptkb:exponential_distribution
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gptkbp:hasSpecialCase
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gptkb:Pearson_type_III_distribution
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https://www.w3.org/2000/01/rdf-schema#label
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gamma distribution
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gptkbp:kurtosis
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6/k
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gptkbp:meaning
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kθ
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gptkbp:mode
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(k-1)θ, for k > 1
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gptkbp:momentGeneratingFunction
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(1-θt)^{-k}, for t < 1/θ
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gptkbp:namedAfter
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gptkb:gamma_function
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gptkbp:parameter
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rate parameter (θ or β)
scale parameter (θ)
shape parameter (k or α)
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gptkbp:pdf
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f(x;k,θ) = x^{k-1} e^{-x/θ} / (θ^k Γ(k))
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gptkbp:relatedTo
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gptkb:Poisson_process
gptkb:beta_distribution
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gptkbp:skewness
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2/√k
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gptkbp:supports
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x > 0
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gptkbp:usedIn
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gptkb:probability_theory
statistics
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gptkbp:variant
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kθ^2
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gptkbp:bfsParent
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gptkb:exponential_family
gptkb:gamma_process
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gptkbp:bfsLayer
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5
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