Short Communications

Almost sure results for generalized normal distribution

Wen L.^a, Zhuang Z.<sup>b

a</sup> 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

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.

Received: 23.10.2022
Revised: 08.06.2023
Accepted: 17.09.2023

DOI: 10.4213/tvp5606

 English version: Theory of Probability and its Applications, 2025, 69:4, 630–636

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