Brazilian Journal of Probability and Statistics, Vol. 35, No. 3 (2021), pp. 435-441 (7 pages) The aim of this note is to give an elegant proof of a result due to E. G. Olds which concerns the density ...

Abstract: Let bS = bX_1 + ·s + bX_n be a sum of n independent integer random variables bX_i, where each bX_i is supported on 0, 1, ·, k-1 but otherwise may have an arbitrary distribution (in ...

Convergence theorems form the backbone of probability theory and statistical inference, ensuring that sequences of random variables behave in a predictable manner as their index grows. These theorems, ...

The purpose of The Annals of Probability is to publish contributions to the theory of probability and statistics and their applications. The emphasis is on importance and interest; formal novelty and ...

Source code for generating results from the paper A Fast and Accurate Numerical Method for the Left Tail of Sums of Independent Random Variables The source code to produce figure 4, 5 and 6 are found ...