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Teoriya Veroyatnostei i ee Primeneniya, 2024, Volume 69, Issue 4, Pages 791–799
DOI: https://doi.org/10.4213/tvp5606 (Mi tvp5606) 		 
Short Communications

Almost sure results for generalized normal distribution

Wen L.a, Zhuang Z.b

a School of Mathematics and Big Data, Foshan University, Foshan, P. R. China
b Department of Mathematics, Hong Kong University of Science and Technology, Hong Kong, P. R. China
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DOI: https://doi.org/10.4213/tvp5606
Abstract: For a sequence of independent and identically generalized normal random variables, the almost sure convergence rates, which characterize the fluctuation to infinity or to some fixed point, are obtained.
Keywords: generalized normal distribution, almost sure convergence.
Funding agency Grant number
Guangdong Provincial Philosophy and Social Science Planning Project GD24DWQYJ04
This research is supported by the Guangdong Provincial Philosophy and Social Science Planning Project (GD24DWQYJ04).
Received: 23.10.2022
Revised: 08.06.2023
Accepted: 17.09.2023
Published: 25.10.2024
English version:
Theory of Probability and its Applications, 2025, Volume 69, Issue 4, Pages 630–636
DOI: https://doi.org/10.1137/S0040585X97T992185
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Wen L., Zhuang Z., “Almost sure results for generalized normal distribution”, Teor. Veroyatnost. i Primenen., 69:4 (2024), 791–799; Theory Probab. Appl., 69:4 (2025), 630–636
Citation in format AMSBIB
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\transl
\jour Theory Probab. Appl.
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\pages 630--636
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