distfun_unifpdf

Uniform PDF

Calling Sequence

y = distfun_unifpdf ( x , a , b )

Parameters

x :: a matrix of doubles, the outcome
a :: a matrix of doubles, the lower bound
b :: a matrix of doubles, the upper bound (with a<=b)
y :: a matrix of doubles, the density.

Description

Computes the probability distribution function of the Uniform distribution function.

Any scalar input argument is expanded to a matrix of doubles of the same size as the other input arguments.

The function definition is:

$\begin{eqnarray} f(x,a,b) = \left\{ \begin{array}{l} 0, \textrm{ if } x< a, \\ \frac{1}{b-a}, \textrm{ if } x\in[a,b], \\ 1, \textrm{ if } x> b. \end{array} \right. \end{eqnarray}$

Examples

// Test expanded arguments
c = distfun_unifpdf ( [1 2 3] , [1 1 1] , [4 5 6] )
e = [ 1/3 0.25 0.2]

// Plot the function
a=2;
b=5;
scf();
x = linspace(1,6,1000);
y = distfun_unifpdf(x , a, b);
plot(x,y);
xtitle("Uniform PDF","x","y");

Authors

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<< distfun_unifinv	Uniform	distfun_unifrnd >>