Central Limit Theorem and the Distribution of Sequences

Milan Paštéka

doi:10.2478/tmmp-2020-0031

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Central Limit Theorem and the Distribution of Sequences

Tatra Mountains Mathematical Publications

Volume 77 (2020): Issue 1 (December 2020)

By: Milan Paštéka

Open Access

|Dec 2020

Abstract

The paper deals with independent sequences with continuous asymptotic distribution functions. We construct a compact metric space with Borel probability measure. We use its properties to prove the central limit theorem for independent sequences with continuous distribution functions.

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2020-0031 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 43 - 52

Submitted on: Apr 14, 2020

Published on: Dec 31, 2020

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

asymptotic density,

distribution function,

Related subjects:

© 2020 Milan Paštéka, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 77 (2020): Issue 1 (December 2020)