Discrete variable's values are also "disjoint," so we have the gaps in a discrete variable's probability distribution graph. While the formula for the expected value of a discrete variable may seem ...

Jim Pitman, Random Discrete Distributions Invariant under Size-Biased Permutation, Advances in Applied Probability, Vol. 28, No. 2 (Jun., 1996), pp. 525-539 ...

Let F be a probability distribution on R. Then there exist symmetric (about zero) random variables X and Y whose sum has distribution F if and only if F has mean zero or no mean (finite or infinite).

It includes discrete and continuous random variables, their probability distributions and analytical and statistical methods for determining the mean, variance and higher order moments that ...