Modified Artificial Cooperative Search (ACS) Algorithm for optimization

[Namir]

(03-01-2018 05:48 AM)Paul Dale Wrote:  I don’t think that rand < rand will have a normal distribution as claimed. I think it will be a triangular distribution being the difference of two uniforms. Moreover, since the difference isn’t being looked at, rand < rand will be equivalent to rand < 1/2.

Rand < prob * rand should collapse similarly to rand < prob/2.

Assuming throughout that rand is producing IID U(0, 1) random variables.

Pauli

I checked the Internet and it seems you are correct. The difference of two independent standard uniform random variables has the
standard triangular distribution.