Ja. Gubner et Mm. Hayat, A METHOD TO RECOVER COUNTING DISTRIBUTIONS FROM THEIR CHARACTERISTIC FUNCTIONS, IEEE signal processing letters, 3(6), 1996, pp. 184-186
A method that does not use numerical integration is presented for appr
oximating the cumulative distribution of integer-valued random variabl
es from their characteristic functions. Bounds on the approximation er
ror are also given, The method is then used to compute photomultiplier
counting distributions.