A note on the sum of uniform random variables

Aniello Buonocore , Enrica Pirozzi , Luigia Caputo

An inductive procedure is used to obtain distributions and probability densities for the sum of independent, non equally uniform random variables. Some known results are then shown to follow immediately as special cases. Under the assumption of equally uniform random variables some new formulas are obtained for probabilities and means related to . Finally, some new recursive formulas involving distributions are derived.

Mots clés: 60G50; 60E99

Aniello Buonocore, Enrica Pirozzi, Luigia Caputo. A note on the sum of uniform random variables. Statistics and Probability Letters, 2009, 79 (19), pp.2092. ⟨10.1016/j.spl.2009.06.020⟩. ⟨hal-00573472⟩