# 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 ]
 $\normal Gamma\ distribution\\[10](1)\ probability\ density\\\hspace{30}f(x,a,b)={\large\frac{1}{\Gamma(a)b}(\frac{x}{b})^{a-1}e^{-\frac{x}{b}}}\\(2)\ lower\ cumulative\ distribution\\\hspace{30}P(x,a,b)={\large\int_{\small 0}^{\hspace{25}\small x}}f(t,a,b)dt\\(3)\ upper\ cumulative\ distribution\\\hspace{30}Q(x,a,b)={\large\int_{\small x}^{\hspace{25}\small\infty}}f(t,a,b)dt\\$
Gamma distribution (chart)
 [1-9] /9 Disp-Num5103050100200
[1]  2017/08/02 16:30   Male / 20 years old level / High-school/ University/ Grad student / Useful /
Purpose of use
for study
[2]  2014/04/28 14:15   Male / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
To estimate class marks distribution from mean and standard deviation
[3]  2013/10/16 13:39   Male / 40 years old level / Self-employed people / A little /
Purpose of use
[4]  2013/06/21 03:00   Male / 60 years old level or over / High-school/ University/ Grad student / Very /
Purpose of use
Prepare graph for a class. VERY neat!
[5]  2011/11/10 07:48   Male / 20 years old level / A student / Very /
Purpose of use
Analyzing the shape of the gamma distribution to use as a prior for estimating the parameter of a poisson distribution.
Comment/Request
Very interesting! The only thing I would like to have here that is not available would be the parameters of the scale of the y axis.
[6]  2011/10/27 06:37   Male / 30 years old level / A student / Very /
Purpose of use
Research
Comment/Request
impressive!!!
[7]  2011/05/31 00:07   Male / 50 years old level / A teacher / A researcher / Very /
Comment/Request
Very nice, simple, exactly what I wanted, namely to plot the gamma distribution for various parameters.
[8]  2010/10/21 22:45   Male / 20 level / A university student / Very /
Comment/Request
impressed
[9]  2010/03/28 22:10   Male / Under 20 / A university student / Very /
Purpose of use
study
Comment/Request
thank you it is really helpful

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