Communications in Statistics Theory and Methods, Volume 53, Issue 13, Pages 4918-4926 , 01/01/2024
The local limit theorem for general weighted sums of Bernoulli random variables
Abstract
The local limit theorem (LLT) is one of the well-known limit theorems which can be used to estimate the probability at a particular point of a random variable. In this paper, we generalize weighted sums which are introduced by Giuliano and Weber and give the LLT with explicit error bounds.
Document Type
Article
Source Type
Journal
Keywords
Local limit theoremnormal density functionrate of convergenceweighted sums of Bernoulli random variable
ASJC Subject Area
Mathematics : Statistics and Probability