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Gamma Distribution PDF Calculator

screenshot

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.
  pdf 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);