A new class of distributions over (0,1) is obtained by considering geometrically weighted sum of independent identically distributed (i.i.d.) Bernoulli random variables. An expression for the ...

Abstract: This paper considers the entropy of the sum of (possibly dependent and non-identically distributed) Bernoulli random variables. Upper bounds on the error ...

Simulate a random sum of Bernoulli random variables, each having a different parameter p. The parameter p is drawn from a uniform distribution on [0,1]. Note: The Bernoulli random variables are ...

We describe new families of discrete distributions that are used to model sums of exchangeable Bernoulli random variables. These discrete distributions can be parameterized in terms of their range, ...