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Gamma Distribution (Percentile)

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Calculate the percentile based on the lower or upper cumulative probability value of the gamma distribution.
Cumulative Mode
Cumulative Probability
0≦P,Q≦1
Shape parameter a
a＞0
Scale parameter b
b＞0
\(\normalsize Gamma\ distribution\\ (1)\ probability\ density\\ \hspace{30px}f(x,a,b)={\large\frac{1}{\Gamma(a)b}(\frac{x}{b})^{a-1}e^{-\frac{x}{b}}}\\ (2)\ lower\ cumulative\ distribution\\ \hspace{30px}P(x,a,b)={\large\int_{\small 0}^{\small x}}f(t,a,b)dt\\ (3)\ upper\ cumulative\ distribution\\ \hspace{30px}Q(x,a,b)={\large\int_{\small x}^{\small\infty}}f(t,a,b)dt\\\)

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