Definitions
Define the Probability Density Function (PDF) of the random variable X by entering the function f(x) along with the lowest and highest x-values it supports and the parameters that define the family.
In[44]:=
![f[x_] := 1/(β^αGamma[α]) * x^(α - 1) * ^(-x/β)](../HTMLFiles/index_186.gif)
Out[44]=
Out[45]=
Out[46]=
Out[47]=
NOTE: Devore uses the convention that all PDFs are defined for the entire real line, with appropriate conditional definitions used to set the PDF to zero where appropriate. It is more convenient in the Mathematica environment to define the PDF over an interval on the real line, called the support.
| Created by Mathematica (July 20, 2006) |  |