High Quality Content by WIKIPEDIA articles! In probability theory and statistics, the raised cosine distribution is a probability distribution supported on the interval [? ? s,? + s]. The moments of the raised cosine distribution are somewhat complicated, but are considerably simplified for the standard raised cosine distribution. The standard raised cosine distribution is just the raised cosine distribution with ? = 0 and s = 1. Because the standard raised cosine distribution is an even function, the odd moments are zero.