Description Usage Arguments Details References See Also Examples
Density, distribution function and random generation for the inverse-gamma distribution.
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x, q |
vector of quantiles. |
alpha, beta |
positive valued shape and scale parameters. |
log, log.p |
logical; if TRUE, probabilities p are given as log(p). |
lower.tail |
logical; if TRUE (default), probabilities are P[X ≤ x] otherwise, P[X > x]. |
p |
vector of probabilities. |
n |
number of observations. If |
Probability mass function
f(x) = (β^α * x^(-α-1) * exp(-β/x)) / Γ(α)
Cumulative distribution function
F(x) = γ(α, β/x) / Γ(α)
Witkovsky, V. (2001). Computing the distribution of a linear combination of inverted gamma variables. Kybernetika 37(1), 79-90.
Leemis, L.M. and McQueston, L.T. (2008). Univariate Distribution Relationships. American Statistician 62(1): 45-53.
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