On Estimation of the Remainder Term in New Asymptotic Expansions in the Central Limit Theorem

On Estimation of the Remainder Term in New Asymptotic Expansions in the Central Limit Theorem

We offer a new asymptotic expansion with an explicit remainder estimate in the central limit theorem. The results obtained are essentially based on new forms of asymptotic expansions in the central limit theorem. We also present a more accurate estimation of the CLT-expansions remainder which is rig...

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Bibliographic Details
Main Authors: Vitaly Sobolev, Sergey Ramodanov
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Computer Sciences & Mathematics Forum
Subjects:
central limit theorem
asymptotic expansion
random variables
characteristic function
accuracy of approximation
approximation exactness
Online Access:https://www.mdpi.com/2813-0324/7/1/60

Internet

https://www.mdpi.com/2813-0324/7/1/60

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