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 ...
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 ...
The Central Limit Theorem (CLT) says that the distribution of a sum of independent random variables from a given population converges to the normal distribution as the sample size increases, ...
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, ...
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 ...
ABSTRACT: Successful sharing of information—positive (actual) knowledge about facts, skills that are imparted, abilities developed and expressed—is the implicit goal of instruction in all its varied ...
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