Hp 50g Graphing Calculator Manual do Utilizador descarregar pdf (Página 556)

while its cdf is given by F(x) = 1 - exp(-x/

β), for x>0, β >0.

The beta distribution

The pdf for the gamma distribution is given by

As in the case of the gamma distribution, the corresponding cdf for the beta

distribution is also given by an integral with no closed-form solution.

The Weibull distribution

The pdf for the Weibull distribution is given by

While the corresponding cdf is given by

Functions for continuous distributions

To define a collection of functions corresponding to the gamma, exponential,

beta, and Weibull distributions, first create a sub-directory called CFUN

(Continuous FUNctions) and define the following functions (change to Approx

'gpdf(x) = x^(α-1)*EXP(-x/β)/(β^α*GAMMA(α))'

Gamma cdf: 'gcdf(x) = ∫(0,x,gpdf(t),t)'

' βpdf(x)= GAMMA(α+β)*x^(α-1)*(1-x)^(β-1)/(GAMMA(α)*GAMMA(β))'

Beta cdf: 'βcdf(x) = ∫(0,x, βpdf(t),t)'

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