The local limit theorem for general weighted sums of Bernoulli random variables

Punyapat Kammoo, Kritsana Neammanee and Kittipong Laipaporn

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 13, 4918-4926

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.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:53:y:2024:i:13:p:4918-4926

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DOI: 10.1080/03610926.2023.2198623

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