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Density function, distribution function, and quantile function for the Gamma distribution.
pgamma3(q, shape, scale, threshold)
dgamma3 gives the density, pgamma3 gives the distribution function, and qgamma3 gives the quantile function.
dgamma3
pgamma3
qgamma3
A numeric vector of quantiles.
The shape parameter, default is 1.
1
The scale parameter, default is 1.
The threshold parameter, default is 0.
0
The Gamma distribution with scale parameter alpha, shape parameter c, and threshold parameter zeta has a density given by:
scale
shape
threshold
$$f(x) = \frac{c}{\alpha}\left(\frac{x-\zeta}{\alpha}\right)^{c-1}\exp\left(-\left(\frac{x-\zeta}{\alpha}\right)^c\right)$$
The cumulative distribution function is given by:
$$F(x) = 1 - \exp\left(-\left(\frac{x-\zeta}{\alpha}\right)^c\right)$$
dgamma3(x = 1, scale = 1, shape = 5, threshold = 0) temp <- pgamma3(q = 1, scale = 1, shape = 5, threshold = 0) temp qgamma3(p = temp, scale = 1, shape = 5, threshold = 0)
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