We study and solve several functional equations which yield necessary and sufficient conditions for the sum of two uniformly distributed random variables to be uniformly distributed.
@article{urn:eudml:doc:38815,
title = {On sums of dependent uniformly distributed random variables.},
journal = {Stochastica},
volume = {3},
year = {1979},
pages = {33-43},
zbl = {0418.39007},
mrnumber = {MR0556646},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38815}
}
Alsina, Claudi; Bonet, Eduard. On sums of dependent uniformly distributed random variables.. Stochastica, Tome 3 (1979) pp. 33-43. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38815/