/math-804be2fdfec84ce71e5777e76d66806d.png "gp=gaminv(p, a, b)")
computes the inverse of Gamma cdf at /math-83878c91171338902e0fe0fb97a8c47a.png "p")
, with parameters /math-0cc175b9c0f1b6a831c399e269772661.png "a")
and /math-92eb5ffee6ae2fec3ad71c777531578f.png "b")
. computes the inverse of Gamma cdf at , with parameters and .
The deviate,/math-5343b21ad303bf1799629894deca13db.png "gp")
, associated with the lower tail probability of the /math-800618943025315f869e4e1f09471012.png "F")
distribution with /math-4fdefba26320686bb2bd0579a0df421c.png "\nu")
degrees of freedom is defined as the solution to
/math-030b3e14043daaad60b3fc01450c00c4.png "P(G\leq gp)=p=\frac 1{\beta ^\alpha \Gamma (\alpha )}\int_0^{gp}G^{\alpha -1}e^{-G/\beta }dG")
/math-4c16ff86e19f7674c04bc46b291aed78.png "0\leq gp<\infty ;\alpha ,\beta >0")
. (input, double), from the required Gamma distribution./math-c1d9f56d362ea256008a036609369e26.png "0 \le p <1")
(input, double)/math-7b7f9dbfea05c83784f8b85149852f08.png "\alpha")
of the gamma distribution, must be positive(/math-323c5f97105643bc61e288fe596194ca.png "a>0")
). (input, double)/math-b0603860fcffe94e5b8eec59ed813421.png "\beta")
of the gamma distribution , must be positive(/math-539fa66a54d60fdbd6278ccebed13ddd.png "b>0")
). (output, double)/math-376e32af2f5a6dc0d67450d303b4ade6.png "g_p")