Uniform Distribution: (a.k.a. rectangular distribution) a symmetric probability distribution such that a randomly selected value is equally likely to be in every interval of the same length.

If X = (X1, ⋯, Xn) has uniform distribution on the sphere or ball in Rn with radius a, then the joint distribution of n1/2a-1 Xi, i = 1, ⋯, k, converges in total variation to the standard normal ...

Beronika Daxner, Antoine Genitrini, Bernhard Gittenberger, Cécile Mailler, THE RELATION BETWEEN TREE SIZE COMPLEXITY AND PROBABILITY FOR BOOLEAN FUNCTIONS GENERATED BY UNIFORM RANDOM TREES, Applicable ...