# 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 flower cumulative distribution Pupper 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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