Raised cosine distribution
In probability theory and statistics, the raised cosine distribution is a continuous probability distribution supported on the interval . The probability density function (PDF) is

for  and zero otherwise. The cumulative distribution function (CDF) is

for  and zero for  and unity for .

The moments of the raised cosine distribution are somewhat complicated in the general case, but are considerably simplified for the standard raised cosine distribution. The standard raised cosine distribution is just the raised cosine distribution with  and . Because the standard raised cosine distribution is an even function, the odd moments are zero. The even moments are given by:

 

where  is a generalized hypergeometric function.

See also 
 Hann function
 Havercosine (hvc)

References 

Continuous distributions