The Gamma Distribution

Usage

dgamma(x, shape, scale=1)
pgamma(q, shape, scale=1)
qgamma(p, shape, scale=1)
rgamma(n, shape, scale=1)

Arguments

x,q vector of quantiles.
p vector of probabilites.
n number of observations.
shape, scale shape and scale parameters.

Value

These functions provide information about the gamma distribution with parameters shape and scale. dgamma gives the density, pgamma gives the distribution function qgamma gives the quantile function and rgamma generates random deviates.

If scale is omitted, it assumes the default value of 1.

The gamma distribution with parameters shape = a and scale = b has density

f(x) = 1/(b^a Gamma(a)) x^(a-1) e^-(x/b)

for x > 0, a > 0 and b > 0.

See Also

gamma for the gamma function, dbeta for the beta distribution and dchisq for the chi-square distribution which is a special case of the gamma distribution.

Examples

-log(dgamma(1:4, shape=1))
p <- (1:9)/10
pgamma(qgamma(p,shape=2), shape=2)
1 - 1/exp(qgamma(p, shape=1))


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