Gamma Distribution PDF Calculator
α is the shape parameter (k).
β is the scale parameter (λ).
In other parameterizations, 1/β is the rate parameter.
See the Statistical Distributions Overview page for more statistical distribution calculators.
Example
| Value | Keystrokes | Display | Description |
|---|---|---|---|
| .8 | x | 0.8 | Stores the x value. |
| 1 | α | 1.0 | Stores the α value. |
| 2 | β | 2.0 | Stores the β value. |
| 0.3352 | Calculates the pdf |
Reference:
Gamma distribution - Wikipedia
Some spreadsheets (Excel, Numbers) throw an error for x=0.
The definition in the references allows x = 0.
The R language (using a rate parameter, 1/β) allows x = 0.
dgamma(0,1,1/2) [1] 0.5
CALC 1 allows x=0.
0.00 : The x value.
1.00 : The alpha value, α.
2.00 : The beta value, β.
0.500 : The gamma distribution PDF.
Using the c1 function:
c1.gammadist(0, 1, 2, false);