How to fit trapezoid distribution?

Dear Matlab community,

please help about my problem.

I am running Monte Carlo (MC) simulation and it is obvious that output value is distributed as trapezoid distribution (resulting from two uniform distributions). I have to fit this distribution to the data so I can use that distribution as input value to the next MC simulation. The most commonly used tools, such as dfittool, do not contain predefined trapezoid distribution so I have to find another solution.

Is there any idea how to solve it?

Best regards and thanks in advance,

Ivan

Answer 1

[Ambrosio Valencia-Romero]

Use function trapmf as:

p = trapmf(r,[a b c d]);

with r as your uniformly distributed random number, and a <= r <= d.

You can generate r with the rand function as follows:

r = a + (d - a)*rand;

I hope it works for you.