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Central Limit Theorem and the Distribution of Sequences

Milan Paštéka

Milan Paštéka

Department of Mathematics and Informatics Faculty of Education University of Trnava, Institute of Mathematics Slovak Academy of Sciences BratislavaSlovakia
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Paštéka, Milan
  
Dec 31, 2020
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Published Online: Dec 31, 2020
Page range: 43 - 52
Received: Apr 14, 2020
DOI: https://doi.org/10.2478/tmmp-2020-0031
Keywords
© 2020 Milan Paštéka, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
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