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Gamma distribution (chart) Calculator

Calculates a table of the probability density function, or lower or upper cumulative distribution function of the gamma distribution, and draws the chart.

select function

probability density f
lower cumulative distribution P
upper cumulative distribution Q

shape parameter a

a＞0

scale parameter b

b＞0

[ initial percentile x

x≧0

increment

repetition

]

x	Gamma distribution

$\normal Gamma\ distribution\\[10] (1)\ probability\ density\\ \hspace{30}f(x,a,b)={\large\frac{1}{\Gamma(a)b}(\frac{x}{b})^{a-1}e^{-\frac{x}{b}}}\\ (2)\ lower\ cumulative\ distribution\\ \hspace{30}P(x,a,b)={\large\int_{\small 0}^{\hspace{25}\small x}}f(t,a,b)dt\\ (3)\ upper\ cumulative\ distribution\\ \hspace{30}Q(x,a,b)={\large\int_{\small x}^{\hspace{25}\small\infty}}f(t,a,b)dt\\$

Gamma distribution (chart) Calculator

Calculates a table of the probability density function, or lower or upper cumulative distribution function of the gamma distribution, and draws the chart.

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