On the distribution function of a random power series with Bernoulli variables as coefficients
Hirosi Sugiyama, A. Huzii · IEEE Transactions on Information Theory · 1995
An explicit formula is given for the distribution function of the Bernoulli random power series when the argument is the pth root of 1/2. It is expressed as a spline of degree p. One application is to the study of intersymbol interference in communication theory.