(Continuous FUNctions) and define the following functions (change to Approx
'gpdf(x) = x^(α-1)*EXP(-x/β)/(β^α*GAMMA(α))'
' βpdf(x)= GAMMA(α+β)*x^(α-1)*(1-x)^(β-1)/(GAMMA(α)*GAMMA(β))'
'Wpdf(x) = α*β*x^(β-1)*EXP(-α*x^β)'
Use function DEFINE to define all these functions. Next, enter the values of α
and β, e.g., 1K~‚a` 2K ~‚b`
Finally, for the cdf for Gamma and Beta cdf's, you need to edit the program
definitions to add
NUM to the programs produced by function DEFINE. For
example, the Gamma cdf, i.e., the function gcdf, should be modified to read:
x ' NUM( ∫ (0,x,gpdf(t),t))' " and stored back into @gcdf
Repeat the procedure for βcdf.
Unlike the discrete functions defined earlier, the continuous functions defined
in this section do not include their parameters (α and/or β) in their definitions.
Therefore, you don't need to enter them in the display to calculate the
functions. However, those parameters must be previously defined by storing
the corresponding values in the variables α and β. Once all functions and the
values α and β have been stored, you can order the menu labels by using
function ORDER. The call to the function will be the following:
Following this command the menu labels will show as follows (Press L to
move to the second list. Press L once more to move to the first list):
'gcdf(x) = ∫(0,x,gpdf(t),t)'
'epdf(x) = EXP(-x/β)/β'
'ecdf(x) = 1 - EXP(-x/β)'
'Wcdf(x) = 1 - EXP(-α*x^β)'