I have been assigned to generate 15000+ homogeneous and uniform random numbers for a work.
I have been searching if Mersenne Twister generate homogeneous distribution of numbers but I don't find nothing. I have found a lot of test and proprieties but I do not know if any of those proprieties/tests refers to the homogeneity.
Can you explain me if the algorithm generates homogeneous numbers, why and what are the proprieties involved in?
By homogeneity I think that I mean this.