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math.PR2023★ 1 cited
Moderate deviation principles and Mod-Gaussian convergence for lacunary trigonometric sums
Joscha Prochno, Marta Strzelecka
Classical works of Kac, Salem and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of inde…
math.PR2023★ 3 cited
Chevet-type inequalities for subexponential Weibull variables and estimates for norms of random matrices
Rafał Latała, Marta Strzelecka
We prove two-sided Chevet-type inequalities for independent symmetric Weibull random variables with shape parameter . We apply them to provide two-sided estimates for op…