On rank selection probabilities

The concept of rank selection probabilities for stack filters has previously been introduced. If the probabilities are known, then the output distribution for i.i.d. input follows easily. There is another expression for the output distribution of a stack filter using certain quantities called A_i. The authors utilize the different forms of output distribution to derive a simple connection between the quantities A_i and the rank selection probabilities. This also leads to a new fast method for the computation of rank selection probabilities